-adic images of Galois for elliptic curves over (and an appendix with John Voight)

DOI10.1017/fms.2022.38zbMath1499.14057arXiv2106.11141OpenAlexW4291136023MaRDI QIDQ5101299

Andrew V. Sutherland, David Zureick-Brown, Jeremy Rouse

Publication date: 30 August 2022

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.11141

zbMATH Keywords

elliptic curvesGalois representationstorsion pointsopen image theorem

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52) Galois representations (11F80) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35)

Related Items (12)

A group theoretic perspective on entanglements of division fields ⋮ Quadratic Chabauty for modular curves: algorithms and examples ⋮ Modular curves with many points over finite fields ⋮ Counting elliptic curves over the rationals with a 7-isogeny ⋮ Triangular modular curves of small genus ⋮ 2-Adic Galois images of isogeny-torsion graphs over ℚ with CM ⋮ Torsion growth over number fields of degree \(pq\) ⋮ Towards a classification of entanglements of Galois representations attached to elliptic curves ⋮ Odd degree isolated points on \(X_1(N)\) with rational \(j\)-invariant ⋮ On 12-congruences of elliptic curves ⋮ ell-adic-galois-images ⋮ Some uniform bounds for elliptic curves over \(\mathbb{Q} \)

Uses Software

• Magma
• QCI

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