<?xml version="1.0"?><ownershipDocument><schemaVersion>X0201</schemaVersion>    <documentType>4</documentType><periodOfReport>2003-11-04</periodOfReport><notSubjectToSection16>0</notSubjectToSection16><issuer><issuerCik>0000350621</issuerCik><issuerName>C COR NET CORP</issuerName>        <issuerTradingSymbol>ccbl</issuerTradingSymbol></issuer><reportingOwner><reportingOwnerId><rptOwnerCik>0001130346</rptOwnerCik><rptOwnerName>ENG DAVID J</rptOwnerName></reportingOwnerId><reportingOwnerAddress><rptOwnerStreet1>C/O C-COR.NET CORP.</rptOwnerStreet1><rptOwnerStreet2>60 DECIBEL ROAD</rptOwnerStreet2><rptOwnerCity>STATE COLLEGE</rptOwnerCity><rptOwnerState>PA</rptOwnerState><rptOwnerZipCode>16801</rptOwnerZipCode><rptOwnerStateDescription></rptOwnerStateDescription></reportingOwnerAddress><reportingOwnerRelationship><isDirector>0</isDirector><isOfficer>1</isOfficer><isTenPercentOwner>0</isTenPercentOwner><isOther>0</isOther><officerTitle>Corporate VP- Americas Bus.</officerTitle></reportingOwnerRelationship></reportingOwner><nonDerivativeTable><nonDerivativeHolding><securityTitle><value>Common Stock</value><footnoteId id="F1" /></securityTitle><postTransactionAmounts><sharesOwnedFollowingTransaction><value>4928.8250</value><footnoteId id="F2" /></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>I</value></directOrIndirectOwnership><natureOfOwnership><value>By Trust</value></natureOfOwnership></ownershipNature></nonDerivativeHolding></nonDerivativeTable><footnotes><footnote id="F1">Shares acquired on various dates and at various prices through C-COR.net Corp.'s qualified (401K) retirement plan.</footnote><footnote id="F2">The total holdings  reflects the addition of 379 shares acquired on various dates and at various prices thorugh participation in the Company's qualified 401k retirement plan.  This holding total also reflects the transfer on 8/28/03 of 484 phantom stock units, acquired during CY 2002 under the non-qualified retirement plan, to the qualified (401K) retirement plan.  The interplan adjustment was peformed by the plan administrator following the completion of discrimination testing for CY 2002. </footnote></footnotes><remarks>This 2 of 2 Form 4s filed on this date to report transactions executed on 11/4/2003.  See form 1 of 2 for the other 11/4/03 transactions.</remarks><ownerSignature><signatureName>David J. Eng</signatureName><signatureDate>2003-11-06</signatureDate></ownerSignature></ownershipDocument>

