Integral points on elliptic curves and 3-torsion in class groups
| dc.creator | Helfgott, H. A. | |
| dc.creator | Venkatesh, A. | |
| dc.date | 2004-05-11 | |
| dc.date | 2005-11-04 | |
| dc.date.accessioned | 2026-07-07T06:36:46Z | |
| dc.date.available | 2026-07-07T06:36:46Z | |
| dc.description | We give new bounds for the number of integral points on elliptic curves. The method may be said to interpolate between approaches via diophantine techniques ([BP], [HBR]) and methods based on quasiorthogonality in the Mordell-Weil lattice ([Sil6], [GS], [He]). We apply our results to break previous bounds on the number of elliptic curves of given conductor and the size of the 3-torsion part of the class group of a quadratic field. The same ideas can be used to count rational points on curves of higher genus. | |
| dc.description | 23 pages, no figures, v2. To appear in J. Amer. Math. Soc | |
| dc.identifier | https://arxiv.org/abs/math/0405180 | |
| dc.identifier | http://arxiv.org/abs/math/0405180 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100193 | |
| dc.subject | Number Theory | |
| dc.subject | 11G05 | |
| dc.title | Integral points on elliptic curves and 3-torsion in class groups | |
| dc.type | text |