Torsion points on elliptic curves over number fields of small degree

被引：10

作者：

Derickx, Maarten ^{[1
]}

Kamienny, Sheldon ^{[2
]}

Stein, William ^{[3
]}

Stoll, Michael ^{[4
]}

机构：

[1] Leiden Univ, Math Inst, Leiden, Netherlands

[2] USC Dornsife, Dept Math, Los Angeles, CA USA

[3] SageMath Inc, Renton, WA USA

[4] Univ Bayreuth, Math Inst, Bayreuth, Germany

来源：

ALGEBRA & NUMBER THEORY | 2023年 / 17卷 / 02期

关键词：

elliptic curve; torsion point; torsion subgroup; number fields of small degree; FAMILIES; BOUNDS;

D O I：

10.2140/ant.2023.17.267

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We determine the set S(d) of possible prime orders of K-rational points on elliptic curves over number fields K of degree d for d = 4, 5, 6, and 7.

引用

页码：267 / 308

页数：43

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