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dc.contributor.authorElkies, Noam
dc.contributor.authorWatkins, Mark
dc.date.accessioned2009-05-15T15:47:42Z
dc.date.issued2004
dc.identifier.citationElkies, Noam D. and Mark Watkins. 2004. Elliptic curves of large rank and small conductor. Lecture Notes in Computer Science 3076: 42-56.en
dc.identifier.issn0302-9743en
dc.identifier.issn1611-3349en
dc.identifier.urihttp://nrs.harvard.edu/urn-3:HUL.InstRepos:2958705
dc.description.abstractFor \(r = 6, 7, . . . , 11\) we find an elliptic curve \(E/Q\) of rank at least \(r\) and the smallest conductor known, improving on the previous records by factors ranging from 1.0136 (for \(r = 6)\) to over 100 (for \(r = 10\) and \(r=11\)). We describe our search methods, and tabulate, for each \(r = 5, 6, . . . , 11\), the five curves of lowest conductor, and (except for \(r = 11)\) also the five of lowest absolute discriminant, that we found.en
dc.description.sponsorshipMathematicsen
dc.language.isoen_USen
dc.publisherSpringer Verlagen
dc.relation.isversionofhttp://dx.doi.org/10.1007/b98210en
dc.relation.hasversionhttp://arxiv.org/abs/math/0403374en
dash.licenseLAA
dc.titleElliptic Curves of Large Rank and Small Conductoren
dc.relation.journalLecture Notes in Computer Scienceen
dash.depositing.authorElkies, Noam
dc.identifier.doi10.1007/b98210*
dash.contributor.affiliatedElkies, Noam


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