Elliptic curves of large rank and small conductor
| dc.creator | Elkies, Noam D. | |
| dc.creator | Watkins, Mark | |
| dc.date | 2004-03-22 | |
| dc.date | 2004-05-11 | |
| dc.date.accessioned | 2026-07-07T05:06:38Z | |
| dc.date.available | 2026-07-07T05:06:38Z | |
| dc.description | 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. | |
| dc.description | 16 pages, including tables and one .eps figure; to appear in the Proceedings of ANTS-6 (June 2004, Burlington, VT). Revised somewhat after comments by J.Silverman on the previous draft, and again to get the correct page breaks | |
| dc.identifier | https://arxiv.org/abs/math/0403374 | |
| dc.identifier | http://arxiv.org/abs/math/0403374 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70549 | |
| dc.subject | Number Theory | |
| dc.subject | 11G05; 11Y99 | |
| dc.title | Elliptic curves of large rank and small conductor | |
| dc.type | text |