Explicit classification for torsion subgroups of rational points of elliptic curves
| dc.creator | Qiu, Derong | |
| dc.creator | Zhang, Xianke | |
| dc.date | 1998-09-03 | |
| dc.date.accessioned | 2026-07-07T05:26:15Z | |
| dc.date.available | 2026-07-07T05:26:15Z | |
| dc.description | The classification of elliptic curves E over the rationals Q is studied according to their torsion subgroups E_{tors}(Q) of rational points. Explicit criteria for the classification are given when E_{tors}(Q) are cyclic groups with even orders. The generator points P of E_{tors}(Q) are also explicitly presented in each case. These results, together with recent results of K. Ono, completely solve the problem of the mentioned explicit classification when E has a rational point of order 2. | |
| dc.identifier | https://arxiv.org/abs/math/9809207 | |
| dc.identifier | http://arxiv.org/abs/math/9809207 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77480 | |
| dc.subject | Number Theory | |
| dc.title | Explicit classification for torsion subgroups of rational points of elliptic curves | |
| dc.type | text |