This Joint Proxy Statement is being furnished in connection with the solicitation of proxies by the Board of Trustees (each, a(the “Board” and together, the “Boards”) of each of Invesco American Franchise Fund, Invesco Capital Appreciation Fund, Invesco Summit FundComstock Select and Invesco TechnologyEnergy Fund (each, a “Fund,” and together, the “Funds”), each a series of AIM Counselor Series Trust (Invesco Counselor Series Trust), AIM Counselor Series Trust (Invesco Counselor Series Trust), AIM Equity Funds (Invesco Equity Funds) and AIM Sector Funds (Invesco Sector Funds) (each, a(the “Trust,” and together, the “Trusts”), respectively.. The proxies are to be voted at a Special Joint Meeting of Shareholders of the Funds, and all adjournments thereof (the “Meeting”), to be held over the internet in a virtual meeting format,at 11 Greenway Plaza, Suite 1000, Houston, Texas 77046-1173, on January 22, 2021,November 10, 2022, at 2:00 p.m. Central Time. The approximate mailing date of this Joint Proxy Statement and accompanying proxy card(s) is on or about November 16, 2020.

The Boards haveBoard has fixed OctoberAugust 26, 20202022 as the record date (the “Record Date”) for the determination of holders of shares of each Fund entitled to vote at the Meeting. Shareholders of record of any class of a Fund, as of the close of business on the Record Date, are entitled to vote their respective shares at the Meeting. A list of the Funds, along with theThe number of shares outstanding for each class of each Fund on the Record Date can be found in Annex A. Each share of a Fund that you own entitles you to one vote on the proposal described herein (a fractional share has a fractional vote).

If you have any questions about the information set forth in this Joint Proxy Statement, please contact us at the 24-hour Automated Investor Line at 1-800-246-5463or visit our website at www.invesco.com/us.

This Joint Proxy Statement and a copy of the proxy card(s) (together, the “Proxy Materials”) are available at https://www.proxy-direct.com/inv-31721inv-32908. The Proxy Materials will be available on the internet through the day of the Meeting.

We have previously sent to shareholders the most recent annual report for their Fund, including financial statements, and the most recent semiannual report for the period after the annual report, if any. If you have not received such report(s) or would like to receive an additional copy, without charge, a request should be directed to the Secretary of the respective FundTrust by calling 1-800-959-4246, or by writing to the Secretary of the respective FundTrust at 11 Greenway Plaza, Suite 1000, Houston, Texas 77046-1173.

Only one copy of this Joint Proxy Statement will be mailed to multiple shareholders sharing an address unless we have received contrary instructions from one or more of the shareholders. Upon request, we will mail a separate copy of this Joint Proxy Statement to a shareholder at a shared address to which a single copy of this Joint Proxy Statement was mailed. Any shareholder who wishes to receive a separate Joint Proxy Statement, or who currently receives multiple copies of Fund documents and would like to receive only one,

should contact their Fund by calling 1-800-959-4246 or by writing to their Fund at 11 Greenway Plaza, Suite 1000, Houston, Texas 77046-1173.

The purpose of the Meeting is for shareholders to consider and vote on the proposal listed below (the “Proposal”) as more fully described herein. EachThe Board has unanimously approved the Proposal for each Fund and recommends that shareholders of each Fund vote in favor of the Proposal.

Shareholders of a Fund on the Record Date are entitled to one vote per share, and a proportional vote for each fractional share, with respect to the Proposal, with no share having cumulative voting rights. A quorum of shareholders is necessary to hold a valid meeting. Shareholders may only vote at the Meeting for the Fund to which their shares relate. The voting and quorum requirements for the Proposal are described below.

If you experience technical difficulties prior to or during the Meeting, you may call 1-866-774-4940 for technical assistance. All shareholders will be required to enter their individual control number in order to enter the Meeting. Only shareholders of the Funds will be able to participate in the Meeting.  If you planintend to attend the Meeting virtually, please notify us at 1-800-952-3502.

If you hold your Shares in “street name,” you will not be able to vote your Shares in person at the Meeting virtually online via live webcast using the instructions below. To registerunless you have previously requested and receive your individual control number to attend the Meeting online, you must submit proof of your proxy power (“legal proxy”)obtained a “legal proxy” from your broker, bank or other nominee indicating that you areand present it at the beneficial owner of the shares in the Fund(s), on the record date, and authorizing you to vote along with your name and email address to Computershare, Inc. (“Computershare”) in accordance with the directions below. The letter must also state whether before the meeting you authorized a proxy to vote for you, and if so, how you instructed such proxy to vote. Requests for registration must be labeled as “Legal Proxy” and be received no later than January 15 , 2021 at 5:00 p.m. Eastern Time. You will receive a confirmation of your registration and your individual control number by email after Computershare receives your registration information. Requests for registration for the Meeting should be directed to Computershare as follows:

You may contact the Funds at 1-866-774-4940 1-866-905-2396to obtain information about attendingdirections to the Meeting virtually.

The Funds do not know of any business other than the Proposal that will, or is proposed to, be presented for consideration at the Meeting. If any other matters are properly presented, the persons named on the enclosed proxy card(s) shall vote proxies in accordance with their best judgment.

Below is a brief overview of the subject of the shareholder vote. Your vote is important, no matter how large or small your holdings may be. Please read the full text of this Joint Proxy Statement, which contains additional information about the Proposal, and keep it for future reference.

Shareholders of the Funds are being asked to approve changing each Fund’s sub-classification from a diversified fund to a non-diversifiednon- diversified fund, as defined under the Investment Company Act of 1940, as amended (“1940 Act”). The changes will give each of the Funds the ability to invest a greater percentage of its assets in the obligations or securities of a smaller number of issuers or any one issuer thanas compared to a diversified fund. Each Fund’s portfolio management team believes that this added flexibility will enable the Fund to operate its investment program in a more effective manner by increasing investments in securities that they believe to be most attractive. However, shareholders should note that if the change in the Funds’ sub-classifications to “non-diversified”“non-diversified” is approved, the Funds’ risk profiles may increase (for additional information, see “increase. Specifically, because a fund that is PROPOSALnon-diversified” below) .

As explained more fully below, each Fund is currently sub-classified as a diversified fund and has declared a fundamental policy of being classified as diversified under the 1940 Act, which may not be changed or eliminated without shareholder approval. A diversified fund must invest at least 75% of its total assets in cash and cash items, U.S. government securities, securities of other investment companies and other securities not representing more than 5% of the fund’s total assets (calculated at the time of purchase) and not hold more than 10% of the outstanding voting securities of any one issuer. In other words, a diversified fund generally must limit all investments greater than 5% of its assets in any one issuer to no more than, in the aggregate, 25% of the fund’s assets. However, for the past several years,

At times, implementing each FundFund’s desired investment program has hadbeen a high concentration of investments that are greater than 5% ofchallenge due to requirements to maintain the Fund’s assetsdiversified status. For example, due to the limitations imposed on a diversified fund’s investments in any one issuer, which, at times, has resulteda Fund may be prevented from adding to its positions in the Fund having had to trim positions or limit new investments. The Boards recommendcertain stocks that the Funds be reclassified as “non-diversified” funds.portfolio managers might view favorably. As non-diversified funds, each Fund could invest a greater portion of its assets in any one issuer and invest overall in a smaller number of issuers than a diversified

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fund. The Funds’By changing the Funds to non-diversified status, each Fund’s portfolio managers believecould increase the Fund’s investments in their highest conviction investment ideas as they would not be constrained by the 1940 Act diversification requirements. Invesco Advisers, Inc. (“Invesco” or the “Adviser”), each Fund’s investment adviser, believes that reclassifying each Fund as non-diversified is in the proposed changebest interests of the Fund and its shareholders because non-diversified status will provide the Fund’s investment team with increased investment flexibility and potential for better investment performance. The Board recommends that shareholders approve the Proposal for each Fund, which would allow the Funds to better implement their investment strategies and remain compliant with the limits of the 1940 Act.

Whether you plan to attend the Meeting or not, we urge you to complete, sign and date the enclosed proxy card and to return it promptly in the envelope provided. Returning the proxy card will not affect your right to attend the Meeting or to vote at the Meeting if you choose to do so. If you properly complete and sign your proxy card and send it to us in time to vote at the Meeting, your “proxy” (the individual(s) named on your proxy card) will vote your shares as you have directed. If you sign your proxy card but do not specify how to vote your shares, your proxy will vote your shares “FOR” the Proposal, as recommended by the Boards ,Board, and in accordance with the judgment of your proxy on other matters.

Proxies marked “ ABSTAIN ”“ABSTAIN” will not be voted “FOR” the Proposal, but will be counted for purposes of determining whether a quorum is present, and will therefore have the same effect as a vote “AGAINST” the Proposal. Your proxy will have the authority to vote and act on your behalf at any adjournment or postponement of the Meeting. Shareholders may also transact any other business not currently contemplated that may properly come before the Meeting in the discretion of the proxies or their substitutes.

If you choose to vote by proxy, we must receive your proxy in time to be voted at the Meeting or any adjournments or postponements thereof, which means the proxy must be received prior to the closing of the polls of the Meeting or any adjournment or postponements thereof. All proxies must be delivered to the Secretary of the respective FundTrust before being voted. To ensure we receive your proxy in time, we urge you to mail your proxy card(s) or record your voting instructions by telephone or via the internet today.

You may vote your shares by telephone or through a website established for that purpose by following the instructions that appear on the proxy card accompanying your Joint Proxy Statement.

If you authorize a proxy to vote for you, you may revoke the authorization at any time before it is voted. You can do this in one of the following ways:

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ADDITIONAL INFORMATION REGARDING VOTING AT THE MEETING

Management is not aware of any matters to be presented at the Meeting other than the Proposal discussed in this Joint Proxy Statement. However, if any other matters properly come before the Meeting, proxies will be voted on such matters in accordance with the judgment of the persons designated therein as proxies consistent with their fiduciary duties as set forth in Statement on Adjournment of Investment Company Shareholder Meetings and Withdrawal of Proposed Rule 20a-4 and Amendment to Rule 20a-1, Investment Company Act Release No. 7659 (Feb. 6, 1973) (the “1973 Release”).

A quorum of shareholders is necessary to hold a valid meeting. A quorum exists if shareholders entitled to vote one-third of the issued and outstanding shares of a Fund on the Record Date are present at the Meeting virtuallyin person or by proxy. Abstentions and broker non-votesnon- votes will count as shares present at the Meeting for purposes of establishing a quorum.

A “broker non-vote” occurs when a broker has not received voting instructions from a shareholder and is barred from voting the shares without shareholder instructions because the proposal is considered to be non-routine. Because the Proposal may be considered non-routine, your broker likely will not be permitted to vote your shares if it has not received instructions from you, and the shares will be considered “broker non-votes.” “Broker non-votes” are considered present for purposes of establishing a quorum.

If a quorum is not present at the Meeting, the vote of the holders of a majority of the shares cast will have the power to adjourn the Meeting from time to time, without notice other than an announcement at the Meeting, until a quorum is attained. If a quorum is present at the Meeting, the vote of the holders of one-third of the shares cast will have the power to adjourn the Meeting with regard to the Proposal scheduled to be voted on at the Meeting, or to adjourn the Meeting entirely, without notice other than an announcement at the Meeting. Provided a quorum is present, any business may be transacted at such adjourned meeting that might have been transacted at the Meeting as originally notified.

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A meeting may be adjourned from time to time without further notice to shareholders to a date not more than 120 days after the original record date. The persons named as proxies will vote in their discretion on questions of adjournment for those shares for which proxies have been received. With respect to adjournments, the persons named as proxies will adhere to the guidelines provided in the 1973 Release, and weigh carefully the decision whether to adjourn the Meeting for the purpose of soliciting shareholders to obtain additional proxies. In any such case, the persons named as proxies will consider whether an adjournment and additional solicitation is reasonable and in the interest of shareholders, or whether such procedures would constitute an abuse of office.

Approval of the Proposal requires the lesser of (a) the affirmative vote of 67% or more of the voting securities present or represented by proxy, if the holders of more than 50% of the outstanding voting securities of a Fund are present or represented by proxy, or (b) the affirmative vote of more than 50% of the outstanding voting securities of a Fund. Abstentions and broker non-votesnon- votes are counted as votes present for purposes of achieving a quorum but are not considered votes cast at the Meeting. As a result, they have the same effect as a vote “AGAINST” the Proposal because approval of the Proposal requires the affirmative vote of a percentage of a Fund’s voting securities present or represented by proxy or a percentage of the outstanding voting securities. An unfavorable vote on the Proposal by the shareholders of one Fund will not affect the implementation of such Proposal by anotherthe other Fund if the Proposal is approved by the shareholders of the other Fund, as applicable.

The Trusts haveTrust has retained Computershare, a professional proxy solicitation firm, to assist in the solicitation of proxies for the Meeting. The estimated cost of solicitation is currently estimated to be in the aggregate approximately $ 2,440,299 .$363,720 for Invesco Energy Fund, and approximately $258,770 for Invesco Comstock Select Fund. These estimates include legal fees, printing, mailing, solicitation and filing expenses. The Trusts expectTrust expects to solicit proxies principally by mail, but the TrustsTrust or Computershare may also solicit proxies by telephone, facsimile, internet or personal interview. The Trusts’Trust’s officers will not receive any additional or special compensation for any such solicitation. The expenses of preparing, printing and mailing these proxy solicitation materials and all other costs in connection with the solicitation of proxies for the Proposal will be borne by the Funds, except that, with respect to Invesco Capital Appreciation Fund and Invesco Technology Fund only, Invesco Advisers, Inc. (the “Adviser”) may bear indirectly some or all of

As a general matter, the Funds do not hold regular meetings of shareholders. Shareholders wishing to submit proposals for inclusion in a proxy statement for a subsequent shareholder meeting should send their written proposals to the Secretary of the respective FundTrust at Greenway Plaza, Suite 1000, Houston, Texas 77046-1173. Proposals must be received a reasonable time before the Funds begin to print and send their proxy materials to be considered for inclusion in the proxy materials for the meeting. Timely submission of a proposal does not, however, necessarily mean the proposal will be included. With respect to

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proposals submitted on an untimely basis and presented at a shareholder meeting, persons named as proxy agents will vote in their discretion. Additional requirements regarding shareholder proposals are included in the Funds’Trust’s Bylaws, which are available upon request.

The investment adviser for each Fund is Invesco Advisers, Inc. The Adviser is an indirect, wholly-owned subsidiary of Invesco Ltd. The Adviser is located at 1555 Peachtree Street, N.E., Atlanta, Georgia 30309. The Adviser, as successor in interest to multiple investment advisers, has been an investment adviser since 1976.

The Adviser has entered into a sub-advisory agreement with certain affiliates to serve as sub-advisers, pursuant to which these affiliated sub-advisers may be appointed by the Adviser from time to time to provide discretionary investment management services, investment advice, and/or order execution services to the Fund s .Funds. The affiliated sub-advisers, each of which is a registered investment adviser under the Investment Advisers Act of 1940, as amended, are Invesco Asset Management Deutschland GmbH, Invesco Asset Management Limited, Invesco Asset Management (Japan) Limited, Invesco Hong Kong Limited, Invesco Senior Secured Management, Inc., Invesco Canada Ltd., and, only with respect to Invesco Capital AppreciationComstock Select Fund, Invesco Capital Management, LLC, , Invesco Asset Management (India) Pvt. Ltd. and OppenheimerFunds, Inc. (each a “Sub-Adviser” and collectively, the “Sub-Advisers”). Each Sub-Adviser is an indirect, wholly-owned subsidiary of Invesco Ltd.

Each Fund has entered into a master administrative services agreement with the Adviser, pursuant to which the Adviser performs or arranges for the provision of accounting and other administrative services to each Fund, which are not required to be performed by the Adviser under its investment advisory agreement. Pursuant to a subcontract for administrative services with the Adviser, State Street Bank and Trust Company performs certain administrative functions for the Fund. State Street Bank and Trust Company is located at 225 Franklin Street, Boston, Massachusetts 02110-2801.

The principal underwriter for each Fund is Invesco Distributors Inc., located at 11 Greenway Plaza, Suite 1000, Houston, Texas 77046-1173.

The custodian for each Fund is State Street Bank and Trust Company located at 225 Franklin Street, Boston, Massachusetts 02110-2801. The transfer agent for each Fund is Invesco Investment Services, Inc. located at 11 Greenway Plaza, Suite 1000, Houston, Texas 77046-1173, a wholly-owned subsidiary of Invesco Ltd.

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The Funds are currently sub-classified as “diversified” funds for purposes of Section 5(b)(1) of the 1940 Act. As diversified funds, the Funds are limited as to the amount they may invest in any single issuer. Specifically, for 75% of its total assets, each Fund currently may not invest in a security if, as a result of such investment, more than 5% of its total assets (calculated at the time of purchase) would be invested in securities of any one issuer. In addition, for 75% of its total assets, each Fund may not hold more than 10% of the outstanding voting securities of any one issuer. The restrictions in Section 5(b)(1) do not apply to investments in U.S. government securities, securities of other investment companies (for example, other funds), cash and cash items.

In addition, each Fund currently has a fundamental investment restriction on diversification (which may only be changed with shareholder approval), which states:

If shareholders approve changing each Fund’s sub-classification from diversified to non-diversified, this corresponding fundamental investment restriction will be eliminated.

If the Proposal is approved by shareholders, the Funds will no longer be subject to the diversification limitation set forth in Section 5(b)(1) of the 1940 Act or the Funds’ current fundamental investment restrictions on diversification. Although each Fund would no longer be subject to the 1940 Act diversification restrictions if shareholders approve the Proposal, each Fund will continue to be subject to federal tax diversification restrictions of Subchapter M of the Internal Revenue Code of 1986, as amended (the “IRC”). For purposes of the IRC, each Fund operates as a “regulated investment company.” As such, each Fund must meet certain diversification requirements, including the requirement that, in general, at least 50% of the market value of its total assets at the close of each quarter of its taxable year must be invested in cash, cash equivalents, U.S. government securities, securities of other regulated investment companies, and securities of issuers (including foreign governments) with respect to which the Fund has invested no more than 5% of its total assets in securities of any one issuer and owns no more than 10% of the outstanding voting securities of any issuer. Each Fund also must invest no more than 25% of the value of its total assets in securities (other than U.S. government securities and securities of other regulated investment companies) of any one issuer or of two or more issuers that the Fund controls and is engaged in the same, similar or related trades or businesses or, collectively, in the securities of certain publicly traded partnerships. These limits apply only as of the close of each quarter of each Fund’s taxable year. These federal tax diversification requirements may change in the future without shareholder approval.

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At times, implementing each Fund’s desired investment program has been a challenge due to requirements to maintain the Fund’s diversified status, as further described below.

Invesco Energy Fund

The asset classes1940 Act diversification requirements have limited the ability of Invesco Energy Fund’s portfolio management team to take desired positions in companies in which they have high conviction, including certain components of the Fund’s benchmark index, the MSCI World Energy Index (the “Index”). Currently, the portfolio management team invests in one or more exchange-traded funds (“ETFs”) to expand the Fund’s exposure to companies in the Index in which the Funds invest have experienced fundamental changesportfolio management team holds higher conviction, such as integrated oil companies. However, the portfolio management team no longer believes it can achieve its desired weightings to the companies in which it sees greatest return potential through ETFs. In addition, at the present time, the Fund’s portfolio has reached the maximum investment limitations of a diversified fund, which limits the ability of the Fund to take full advantage of certain investment opportunities.    The Adviser also has found that have made it difficult formany of the FundsFund’s peers are classified as non-diversified, which the Adviser believes is reflective of the concentrated nature of the Index. The Adviser believes that changing the Fund’s classification from diversified to pursue their existingnon-diversified will allow the investment strategies while maintaining theirteam to take more meaningful positions in certain high-conviction names, including benchmark constituents, that the investment team believes to be most attractive, and more closely align the Fund with its peers.

Invesco Comstock Select Fund

Invesco Comstock Select Fund employs a focused investment approach whereby the portfolio management team invests primarily in large cap company value stocks in which the portfolio management team has the highest conviction. As of July 31, 2022, the Fund has approximately 30 holdings and is nearing its 1940 Act diversification status. Overlimits, resulting in constraints on the course of the last ten years, the Funds’ asset classes have become increasingly dominated by certain large companies and the significant outperformance of some of these companies, which has resulted in a higher level of concentration of these companies in each Fund’s asset class. In other words, these companies now represent a large percentage of the investment universes in which the Funds invest.

As non-diversified funds, each Fund could invest a greater than 5%portion of its assets in any one issuer mayand invest overall in a smaller number of issuers than a diversified fund. By changing the Funds to non-diversified status, each Fund’s portfolio managers could increase the Fund’s investments in their highest conviction investment ideas as they would not exceed,be constrained by the 1940 Act diversification requirements. Invesco believes that reclassifying each Fund as non-diversified is in the aggregate, 25%best interests of the fund’s assets.) Thus, changing eachFund and its shareholders because non-diversified status will provide the Fund’s sub-classification to non-diversified would provide each Fundinvestment team with theincreased investment flexibility to pursue itsand potential for better investment strategy given that the Adviser believes the high level of concentration in each Fund’s asset class will remain for the foreseeable future.

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However, shareholders should note that if the change in the Funds’ sub-classifications to “non-diversified”“non-diversified” are approved, the Funds’ risk profiles may increase. This is because the investment return on a non-diversified fund typically is dependent to a greater extent upon the performance of the obligations or securities of a smaller number of issuers or any one issuer than a diversified fund. A non-diversified fund can invest a greater portion of its assets in a single issuer and may invest in a smaller number of issuers than a diversified fund. Consequently, a non-diversified fund is more susceptible to adverse developments affecting any single issuer held in its portfolio than a diversified fund, and may be more susceptible to greater losses because of such developments. Accordingly, if the Proposal is approved on behalf of the Funds, the Funds would be subject to greater risk than they currently are subject to as diversified funds.

The BoardsBoard considered the recommendations of the Adviser to change the Funds’ sub-classifications under the 1940 Act to non-diversifiednon- diversified companies and to eliminate the Funds’ related fundamental investment restrictions. The BoardsBoard considered all relevant factors, including the potential impact of the Proposal on the Funds and their risk profiles and the estimated costs associated with seeking shareholder approval of the proposed change for each Fund .Fund. Following its consideration of these matters, the BoardsBoard unanimously approved the proposed change in each Fund’s sub-classification to “non-diversified”“non-diversified” and the elimination of each Fund’s related fundamental investment restriction. It is anticipated that this Proposal, if approved, will be effective upon notification to shareholders of the changes through appropriate revisions to the Funds’ Prospectuses and StatementsStatement of Additional Information.

If the Proposal is not approved by shareholders of the Funds, the Funds will continue to operate as diversified funds, as defined under the 1940 Act, and each Fund’s related fundamental investment restriction on diversification will remain in effect.

The persons who, as of OctoberAugust 26, 2020,2022, held of record 5% or more of any class of the Funds’ shares are set forth in Annex B. To the knowledge of the Funds, no other persons own, directly or beneficially, 5% or more of any class of the Funds’ shares.

Management does not intend to present, and does not have reason to believe that others will present, any other items of business at the Meeting. However, if other matters are properly presented to the Meeting for a vote, the proxies will be voted upon such matters in accordance with the judgment of the persons acting under the proxies.

The following table sets forth the number of shares of each class of each Fund outstanding and entitled to vote at the Special Joint Meeting of Shareholders to be held over the internet in a virtual meeting format on January 22, 2021,November 10, 2022, at 2:00 p.m. Central Time.

As of OctoberAugust 26, 2020,2022, the following record owners of shares of each Fund held, directly or beneficially, 5% or more of the voting securities of a class of securities of the Fund. For purposes of the 1940 Act, any person who owns, directly or through one or more controlled companies, more than 25% of the voting securities of a company is presumed to “control” such company.

Accordingly, to the extent that a shareholder identified in the following table as the beneficial owner and holder of record of more than 25% of the outstanding voting securities of a Fund and has voting and/or investment power, the shareholder may be presumed to control such Fund.