dc.contributor.author Elkies, Noam dc.contributor.author Watkins, Mark dc.date.accessioned 2009-05-15T15:47:42Z dc.date.issued 2004 dc.identifier.citation Elkies, 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.issn 0302-9743 en dc.identifier.issn 1611-3349 en dc.identifier.uri http://nrs.harvard.edu/urn-3:HUL.InstRepos:2958705 dc.description.abstract For $r = 6, 7, . . . , 11$ 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.sponsorship Mathematics en dc.language.iso en_US en dc.publisher Springer Verlag en dc.relation.isversionof http://dx.doi.org/10.1007/b98210 en dc.relation.hasversion http://arxiv.org/abs/math/0403374 en dash.license LAA dc.title Elliptic Curves of Large Rank and Small Conductor en dc.relation.journal Lecture Notes in Computer Science en dash.depositing.author Elkies, Noam dc.identifier.doi 10.1007/b98210 * dash.contributor.affiliated Elkies, Noam
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