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).

Some uniform bounds for elliptic curves over Q

Davide Lombardo;
2022-01-01

Abstract

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).
2022
Lombardo, Davide; Tronto, Sebastiano
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/1181127
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