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.
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页码：27 / 34
页数：8
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