High rank elliptic curves with torsion group Z/(2Z)

被引：7

作者：

Aguirre, J ^{[1
]}

Castañeda, F ^{[1
]}

Peral, JC ^{[1
]}

机构：

[1] Univ Basque Country, Dept Matemat, E-48080 Bilbao, Spain

来源：

MATHEMATICS OF COMPUTATION | 2004年 / 73卷 / 245期

关键词：

D O I：

10.1090/S0025-5718-03-01547-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We develop an algorithm for bounding the rank of elliptic curves in the family y(2) = x(3) - Bx, all of them with torsion group Z/(2Z) and modular invariant j = 1728. We use it to look for curves of high rank in this family and present four such curves of rank 13 and 22 of rank 12.

引用

页码：323 / 331

页数：9

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