Small rational points on elliptic curves over number fields
| dc.creator | Petsche, Clayton | |
| dc.date | 2005-08-09 | |
| dc.date | 2005-08-10 | |
| dc.date.accessioned | 2026-07-07T05:22:17Z | |
| dc.date.available | 2026-07-07T05:22:17Z | |
| dc.description | Let E/k be an elliptic curve over a number field. We obtain some quantitative refinements of results of Hindry-Silverman, giving an upper bound for the number of k-rational torsion points, and a lower bound for the canonical height of non-torsion k-rational points, in terms of expressions depending explicitly on the degree of k and the Szpiro ratio of E/k. The bounds exhibit only polynomial dependence on both quantities. | |
| dc.description | 11 pages. In this revision, an irritating LaTeX error has been corrected | |
| dc.identifier | https://arxiv.org/abs/math/0508160 | |
| dc.identifier | http://arxiv.org/abs/math/0508160 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76000 | |
| dc.subject | Number Theory | |
| dc.subject | 14H52; 11G50; 14G05 | |
| dc.title | Small rational points on elliptic curves over number fields | |
| dc.type | text |