SOME UNIFORM BOUNDS FOR ELLIPTIC CURVES OVER Q

被引：2

作者：

Lombardo, Davide ^{[1
]}

Tronto, Sebastino ^{[2
]}

机构：

[1] Univ Pisa, Dipartimento Matemat, Pisa, Italy

[2] Univ Luxembourg, Dept Math, Esch Sur Alzette, Luxembourg

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2022年 / 320卷 / 01期

关键词：

Elliptic curves; Galois representations; Kummer theory; division points; GALOIS REPRESENTATIONS; ABELIAN-VARIETIES; IMAGE; POINTS; ENTANGLEMENT; ISOGENY; NUMBER;

D O I：

10.2140/pjm.2022.320.133

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give explicit uniform bounds for several quantities relevant to the study of Galois representations attached to elliptic curves E/Q. We consider, in particular, the subgroup of scalars in the image of Galois, the first Galois co -homology group with values in the torsion of E, and the Kummer extensions generated by points of infinite order in E(Q).

引用

页码：133 / 175

页数：44

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