Explicit Descent via 4-Isogeny on an Elliptic Curve
| dc.creator | Goins, Edray Herber | |
| dc.date | 2004-11-09 | |
| dc.date.accessioned | 2026-07-07T05:14:09Z | |
| dc.date.available | 2026-07-07T05:14:09Z | |
| dc.description | We work out the complete descent via 4-isogeny for a family of rational elliptic curves with a rational point of order 4; such a family is of the form $y^2 + x y + a y = x^3 + a x^2$ where $\sqrt{-a} \in \mathbb Q^\times$. In the process we exhibit the 4-isogeny and the isogenous curve, explicitly present the principal homogeneous spaces, and discuss examples by computing the rank. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/math/0411215 | |
| dc.identifier | http://arxiv.org/abs/math/0411215 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73171 | |
| dc.subject | Number Theory | |
| dc.subject | 14G05; 11G05; 11D25 | |
| dc.title | Explicit Descent via 4-Isogeny on an Elliptic Curve | |
| dc.type | text |