Repositorio de producción científica de la Universidad de Sevilla

Computing the rational torsion of an elliptic curve using Tate normal form

 

Advanced Search
 
Opened Access Computing the rational torsion of an elliptic curve using Tate normal form
Cites

Show item statistics
Icon
Export to
Author: García Selfa, Irene
Olalla Acosta, Miguel Ángel
Tornero Sánchez, José María
Department: Universidad de Sevilla. Departamento de álgebra
Date: 2002-09
Published in: Journal of Number Theory, 96 (1), 76-88.
Document type: Article
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 oneparameter family. However, this fact does not appear to have been used ever for computing the torsion of an elliptic curve. We present here a extremely down–to–earth algorithm using the existence of such a family.
Cite: García Selfa, I., Olalla Acosta, M.Á. y Tornero Sánchez, J.M. (2002). Computing the rational torsion of an elliptic curve using Tate normal form. Journal of Number Theory, 96 (1), 76-88.
Size: 118.4Kb
Format: PDF

URI: http://hdl.handle.net/11441/41952

DOI: http://dx.doi.org/10.1006/jnth.2002.2780

This work is under a Creative Commons License: 
Attribution-NonCommercial-NoDerivatives 4.0 Internacional

This item appears in the following Collection(s)