Bounds for Serre's open image theorem for elliptic curves over number fields

DOI10.2140/ant.2015.9.2347zbMath1341.11030arXiv1403.3813OpenAlexW2102951081MaRDI QIDQ901791

Davide Lombardo

Publication date: 12 January 2016

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.3813

zbMATH Keywords

elliptic curvesLie algebrasGalois representationsopen image theorem

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Galois representations (11F80) Arithmetic ground fields for abelian varieties (14K15)

Related Items (14)

How big is the image of the Galois representations attached to CM elliptic curves? ⋮ Height and torsion of rank-2 Drinfield modules ⋮ Explicit surjectivity of Galois representations for abelian surfaces and \(\operatorname{GL}_{2}\)-varieties ⋮ An explicit open image theorem for products of elliptic curves ⋮ The square sieve and a Lang-Trotter question for generic abelian varieties ⋮ Torsion points on isogenous abelian varieties ⋮ Explicit homotheties of \(\ell\)-adic representations ⋮ On the effective version of Serre's open image theorem ⋮ EXPLICIT SURJECTIVITY RESULTS FOR DRINFELD MODULES OF RANK 2 ⋮ Some consequences of Masser's counting theorem on elliptic curves ⋮ Pink-type results for general subgroups of \(\mathrm{SL}_2(\mathbb{Z}_\ell)^n\) ⋮ Intersection of class fields ⋮ Some uniform bounds for elliptic curves over \(\mathbb{Q} \) ⋮ Counting rational points and lower bounds for Galois orbits

This page was built for publication: Bounds for Serre's open image theorem for elliptic curves over number fields