Elliptic Curves with Surjective Adelic Galois Representations

DOI10.1080/10586458.2010.10390639zbMath1263.11062arXiv0901.2513OpenAlexW2014882894MaRDI QIDQ2911524

Aaron Greicius

Publication date: 31 August 2012

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.2513

zbMATH Keywords

maximal subgroupstorsionelliptic curvesGalois representationsprofinite\(\ell\)-adicadelic

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Galois representations (11F80)

Related Items (13)

Averages of elliptic curve constants ⋮ Elliptic Curves with Surjective Adelic Galois Representations ⋮ Elliptic curves with full 2-torsion and maximal adelic Galois representations ⋮ Counterexamples to the local-global divisibility over elliptic curves ⋮ An Explicit Abelian Surface with Maximal Galois Action ⋮ Cyclic reduction densities for elliptic curves ⋮ Composite images of Galois for elliptic curves over $\mathbf {Q}$ and entanglement fields ⋮ Hyperelliptic curves with maximal Galois action on the torsion points of their Jacobians ⋮ On the local-global divisibility of torsion points on elliptic curves and \(\operatorname{GL}_{2}\)-type varieties ⋮ The geometric average size of Selmer groups over function fields ⋮ Surjectivity of Galois representations in rational families of abelian varieties ⋮ On the cohomological coprimality of Galois representations associated with elliptic curves ⋮ On dependence of meromorphic functions sharing some finite sets IM

Cites Work

• Modular curves and the Eisenstein ideal
• Galois properties of points of finite order of elliptic curves
• Elliptic Curves with Surjective Adelic Galois Representations
• Elliptic curves with maximal Galois action on their torsion points
• Almost all elliptic curves are Serre curves
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