A formula for the Selmer group of a rational three-isogeny
| dc.creator | DeLong, Matt | |
| dc.date | 1999-06-10 | |
| dc.date.accessioned | 2026-07-07T05:29:26Z | |
| dc.date.available | 2026-07-07T05:29:26Z | |
| dc.description | A formula is given for the dimension of the Selmer group of the rational three-isogeny of elliptic curves of the form y^2=x^3+a(x-b)^2. The formula is in terms of the three-ranks of the quadratic number fields Q(\sqrt{a}) and Q(\sqrt{-3a}) and various aspects of the arithmetic of these number fields. In addition a duality theorem is used to relate the dimension of the Selmer group of the three-isogeny with the dimension of the Selmer group of its dual isogeny. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/math/9906068 | |
| dc.identifier | http://arxiv.org/abs/math/9906068 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78640 | |
| dc.subject | Number Theory | |
| dc.subject | 11G05 | |
| dc.title | A formula for the Selmer group of a rational three-isogeny | |
| dc.type | text |