<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0508</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2025-12-10</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001376139</issuerCik>
        <issuerName>CVR ENERGY INC</issuerName>
        <issuerTradingSymbol>CVI</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001909123</rptOwnerCik>
            <rptOwnerName>Wright Michael H. Jr.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O CVR ENERGY, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>2277 PLAZA DRIVE, SUITE 500</rptOwnerStreet2>
            <rptOwnerCity>SUGAR LAND</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>77479</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>EVP &amp; Chief Operating Officer</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <aff10b5One>0</aff10b5One>

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                </transactionPricePerShare>
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                    <value>11281</value>
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        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable>
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            <securityTitle>
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            <transactionDate>
                <value>2025-12-10</value>
            </transactionDate>
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                <equitySwapInvolved>0</equitySwapInvolved>
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                <transactionShares>
                    <value>5077</value>
                </transactionShares>
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                <footnoteId id="F1"/>
            </exerciseDate>
            <expirationDate>
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            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>5077</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
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                <sharesOwnedFollowingTransaction>
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                </sharesOwnedFollowingTransaction>
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            </transactionDate>
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                <transactionCode>M</transactionCode>
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                </transactionShares>
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            <underlyingSecurity>
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                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>6544</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
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                <sharesOwnedFollowingTransaction>
                    <value>6544</value>
                </sharesOwnedFollowingTransaction>
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            </transactionDate>
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                <transactionCode>M</transactionCode>
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                <transactionShares>
                    <value>11281</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
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                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
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                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>11281</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>22561</value>
                </sharesOwnedFollowingTransaction>
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                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
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        </derivativeTransaction>
        <derivativeTransaction>
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            </transactionDate>
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                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
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                <transactionShares>
                    <value>19482</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                    <footnoteId id="F6"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
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            <expirationDate>
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                    <value>Common Stock</value>
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                </underlyingSecurityShares>
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                <sharesOwnedFollowingTransaction>
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                </sharesOwnedFollowingTransaction>
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        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">The Incentive Units were awarded to the reporting person by CVR Energy, Inc. as compensation for services as an officer on December 14, 2022. These Incentive Units vest ratably in annual installments in December of each of the three years following the grant date, subject to the terms and conditions of the award agreement.</footnote>
        <footnote id="F2">Each Incentive Unit reported herein represents the right to receive upon vesting, a cash payment equal to the average closing price of a share of CVR Energy, Inc. common stock for the 10 trading days immediately preceding the vest date.</footnote>
        <footnote id="F3">This price represents the average closing price of a share of CVR Energy, Inc. common stock for the 10 trading days immediately preceding the vest date.</footnote>
        <footnote id="F4">The Incentive Units were awarded to the reporting person by CVR Energy, Inc. as compensation for services as an officer on December 13, 2023. These Incentive Units vest ratably in annual installments in December of each of the three years following the grant date, subject to the terms and conditions of the award agreement.</footnote>
        <footnote id="F5">The Incentive Units were awarded to the reporting person by CVR Energy, Inc. as compensation for services as an officer on December 11, 2024.  These Incentive Units vest ratably in annual installments in December of each of the three years following the grant date, subject to the terms and conditions of the award agreement.</footnote>
        <footnote id="F6">Each Incentive Unit reported herein represents the right to receive upon vesting, one share of CVR Energy, Inc. common stock or a cash payment equal to the average closing price of a share of CVR Energy, Inc. common stock for the 10 trading days immediately preceding the vest date, as determined by the Board or the Compensation Committee, as applicable, in its sole discretion.</footnote>
        <footnote id="F7">The Incentive Units expire immediately upon vest.</footnote>
        <footnote id="F8">The Incentive Units were awarded to the reporting person by CVR Energy, Inc. as compensation for services as an officer on December 10, 2025.  These Incentive Units vest ratably in annual installments in December of each of the three years following the grant date, subject to the terms and conditions of the award agreement.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Michael H. Wright, Jr.</signatureName>
        <signatureDate>2025-12-12</signatureDate>
    </ownerSignature>
</ownershipDocument>
