2-Adic Galois images of isogeny-torsion graphs over ℚ with CM

DOI10.1142/s1793042123501221arXiv2302.06094OpenAlexW4385606226MaRDI QIDQ6086905

Garen Chiloyan

Publication date: 11 December 2023

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

Full work available at URL: https://arxiv.org/abs/2302.06094

zbMATH Keywords

modular curves

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52) Complex multiplication and moduli of abelian varieties (11G15) Galois representations (11F80)

Cites Work

• 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)
• The Magma algebra system. I: The user language
• Galois representations attached to elliptic curves with complex multiplication
• The Arithmetic of Elliptic Curves
• A classification of isogeny‐torsion graphs of Q‐isogeny classes of elliptic curves
• -adic images of Galois for elliptic curves over (and an appendix with John Voight)

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