Computing the Rational Torsion of an Elliptic Curve Using Tate Normal Form |
| |
Institution: | Facultad de Matemáticas, Universidad de Sevilla, Apdo. 1160, E-41080, Sevilla, Spainf1igselfa@us.esf1f2olalla@algebra.us.esf2f3tornero@algebra.us.esf3 |
| |
Abstract: | It is a classical result (apparently due to Tate) that all elliptic curves with a torsion point of order n(4?n?10, or n=12) lie in a one-parameter family. However, this fact does not appear to have been used ever for computing the torsion of an elliptic curve. We present here an extremely down-to-earth algorithm using the existence of such a family. |
| |
Keywords: | elliptic curves rational points |
本文献已被 ScienceDirect 等数据库收录! |
|