Article
Computing the rational torsion of an elliptic curve using Tate normal form
Author/s | García Selfa, Irene
Olalla Acosta, Miguel Ángel Tornero Sánchez, José María |
Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2002-09 |
Deposit Date | 2016-06-07 |
Published in |
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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 ... 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. |
Funding agencies | Junta de Andalucía |
Project ID. | FQM 218 |
Citation | 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. |
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