Non-cyclic torsion of elliptic curves over imaginary quadratic fields of class number 1

被引：0

作者：

Balcik, Irmak ^{[1
]}

机构：

[1] Northwestern Univ, Dept Math, 2033 Sheridan Rd, Evanston, IL 60208 USA

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2024年 / 20卷 / 10期

关键词：

Elliptic curves; rational points; isogeny; POINTS; ISOGENIES;

D O I：

10.1142/S1793042124501264

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be a non-cyclotomic imaginary quadratic field with class number 1 and E/K an elliptic curve with E(K)[2] similar or equal to Z/2Z circle plus Z/2Z. In this paper, we determine the torsion groups that can arise as E(L)tor where L is any quadratic extension of K.

引用

页码：2641 / 2661

页数：21

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