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 | |