ON QUADRATIC TWISTS OF ELLIPTIC CURVES y(2) = x(x - 1)(x - lambda)

被引：0

作者：

Dujella, Andrej ^{[1
]}

Gusic, Ivica ^{[2
]}

Lasic, Luka ^{[2
]}

机构：

[1] Univ Zagreb, Dept Math, Bijenicka Cesta 30, Zagreb 10000, Croatia

[2] Univ Zagreb, Fac Chem Engn & Tech, Zagreb 10000, Croatia

来源：

RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI | 2014年 / 18卷 / 519期

关键词：

Elliptic curve; quadratic twist;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let E be an elliptic curve over Q given by y(2) = f(x) where f (x) = x (x - 1)(x - lambda). In this paper, we describe a construction of twists E-g (u) of rank 2 over Q(u), where g (u) are polynomials over Q. The construction leads to two sets of twists: the first consists of five twists obtained by Rubin and Silverberg with a different method, while the second consists of five new twists.

引用

页码：27 / 34

页数：8

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