Elliptic curves with rational subgroups of order three
| dc.creator | Sadornil, D. | |
| dc.date | 2005-06-16 | |
| dc.date | 2005-11-09 | |
| dc.date.accessioned | 2026-07-07T06:42:27Z | |
| dc.date.available | 2026-07-07T06:42:27Z | |
| dc.description | In this article we present a characterization of elliptic curves defined over a finite field Fq which possess a rational subgroup of order three. There are two posible cases depending on the rationality of the points in these groups. We show that for finite fields Fq, q= -1 mod 3, all elliptic curves with a point of order 3, they have another rational subgroup whose points are not defined over the finite field. If q = 1 mod 3, this is no true; but there exits a one to one correspondence between curves with points of order 3 and curves with rational subgroups whose points are not rational. | |
| dc.description | Submitted to publication. Corrige version | |
| dc.identifier | https://arxiv.org/abs/math/0506327 | |
| dc.identifier | http://arxiv.org/abs/math/0506327 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102048 | |
| dc.subject | Number Theory | |
| dc.subject | 11G20; 14H52 | |
| dc.title | Elliptic curves with rational subgroups of order three | |
| dc.type | text |