Elliptic curves with 2-torsion contained in the 3-torsion field
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Publication:2790168
DOI10.1090/proc/12786zbMath1333.11050arXiv1406.1262OpenAlexW2008499448MaRDI QIDQ2790168
Publication date: 3 March 2016
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1406.1262
Related Items (10)
A bound for the conductor of an open subgroup of \(\mathrm{GL}_2\) associated to an elliptic curve ⋮ A group theoretic perspective on entanglements of division fields ⋮ Coincidences of division fields ⋮ -adic images of Galois for elliptic curves over (and an appendix with John Voight) ⋮ Towards a classification of entanglements of Galois representations attached to elliptic curves ⋮ Torsion growth of rational elliptic curves in sextic number fields ⋮ Composite images of Galois for elliptic curves over $\mathbf {Q}$ and entanglement fields ⋮ Elliptic curves with non-abelian entanglements ⋮ Generators and number fields for torsion points of a special elliptic curve ⋮ An infinite family of Serre curves
Cites Work
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- Frobenius distributions in \(\mathrm{GL}_2\)-extensions. Distribution of Frobenius automorphisms in \(\mathrm{GL}_2\)-extensions of the rational numbers
- Surjectivity of mod \(2^n\) representations of elliptic curves
- Galois properties of points of finite order of elliptic curves
- One-parameter families of elliptic curves over ℚ with maximal Galois representations
- Elliptic curves with maximal Galois action on their torsion points
- Almost all elliptic curves are Serre curves
- Galois Action on Division Points of Abelian Varieties with Real Multiplications
- Les Schémas de Modules de Courbes Elliptiques
- Algorithmic Number Theory
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