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).
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页码：133 / 175
页数：44
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