TORSION OF ELLIPTIC CURVES OVER CYCLIC CUBIC FIELDS

被引：10

作者：

Derickx, Maarten ^{[1
]}

Najman, Filip ^{[2
]}

机构：

[1] Univ Groningen, Johann Bernoulli Inst, Nijenborgh 9, NL-9747 AG Groningen, Netherlands

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

来源：

MATHEMATICS OF COMPUTATION | 2019年 / 88卷 / 319期

关键词：

Elliptic curves; modular curves; rational points; POINTS; FAMILIES;

D O I：

10.1090/mcom/3408

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We determine all the possible torsion groups of elliptic curves over cyclic cubic fields, over non-cyclic totally real cubic fields, and over complex cubic fields.

引用

页码：2443 / 2459

页数：17

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