Some uniform bounds for elliptic curves over Q

Reference : Some uniform bounds for elliptic curves over Q


	Document type :	E-prints/Working papers : Already available on another site
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/48742

Title :	Some uniform bounds for elliptic curves over Q
Language :	English
Author, co-author :	Lombardo, Davide [Università di Pisa > Mathematics]
	Tronto, Sebastiano [University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH) >]
Publication date :	2021
Peer reviewed :	No
Keywords :	[en] Elliptic curves ; Galois representations
Abstract :	[en] 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 cohomology group with values in the torsion of E, and the Kummer extensions generated by points of infinite order in E(Q).
Permalink :	http://hdl.handle.net/10993/48742
source URL :	https://arxiv.org/abs/2106.09950

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