ELLIPTIC CURVES WITH A POINT OF ORDER 13 DEFINED OVER CYCLIC CUBIC FIELDS

被引：1

作者：

Bruin, Peter ^{[1
]}

Derickx, Maarten ^{[1
]}

Stoll, Michael ^{[2
]}

机构：

[1] Leiden Univ, Math Inst, Postbus 9512, NL-2300 RA Leiden, Netherlands

[2] Univ Bayreuth, Math Inst, D-95440 Bayreuth, Germany

来源：

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI | 2021年 / 65卷 / 02期

关键词：

elliptic curves; torsion points; cyclic cubic fields; TORSION POINTS; RATIONAL-POINTS; NUMBER-FIELDS; FAMILIES;

D O I：

10.7169/facm/1945

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that there is essentially a unique elliptic curve E defined over a cubic Galois extension K of Q with a K-rational point of order 13 and such that E is not defined over Q.

引用

页码：191 / 198

页数：8

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