Infinite families of isogeny-torsion graphs

DOI10.1016/j.jnt.2022.09.009OpenAlexW3150130167MaRDI QIDQ2112790

Garen Chiloyan

Publication date: 12 January 2023

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.01128

zbMATH Keywords

elliptic curvesrational pointsGalois representationsisogeny graphsisogenytorsion graphs

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Elliptic curves (14H52)

Related Items (1)

The probability of non-isomorphic group structures of isogenous elliptic curves in finite field extensions. I

Uses Software

• ell-adic-galois-images

Cites Work

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• Elliptic curves with abelian division fields
• On the field of definition of \(p\)-torsion points on elliptic curves over the rationals
• On the number of Q-isomorphism classes of elliptic curves in each Q- isogeny class
• Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
• Elliptic curves over \(\mathbb {Q}\) and 2-adic images of Galois
• Modular curves of prime-power level with infinitely many rational points
• The Arithmetic of Elliptic Curves
• A classification of isogeny‐torsion graphs of Q‐isogeny classes of elliptic curves
• A group theoretic perspective on entanglements of division fields

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