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Some uniform bounds
for elliptic curves over $\mathbb{Q}$
Davide Lombardo and Sebastiano Tronto |
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Vol. 320 (2022), No. 1, 133–175
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Abstract |
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We give explicit uniform bounds for several quantities relevant to the study of Galois representations attached to elliptic curves . We consider, in particular, the subgroup of scalars in the image of Galois, the first Galois cohomology group with values in the torsion of , and the Kummer extensions generated by points of infinite order in . |
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Keywords
Elliptic curves, Galois representations, Kummer theory,
division points
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Mathematical Subject Classification
Primary: 11F80, 11G05, 14K15
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Milestones
Received: 7 July 2021
Revised: 11 May 2022
Accepted: 16 July 2022
Published: 16 October 2022
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Authors |
| Davide Lombardo | |
| Dipartimento di Matematica Università di Pisa Pisa Italy |
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| Sebastiano Tronto | |
| Department of Mathematics University of Luxembourg Esch-sur-Alzette Luxembourg |
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