Families of elliptic curves with the same mod 8 representations

DOI10.1017/S0305004117000354zbMath1451.11049arXiv1405.6385OpenAlexW2963765994MaRDI QIDQ4575323

Zexiang Chen

Publication date: 13 July 2018

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.6385

zbMATH Keywords

elliptic curvesrational points

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)

Related Items (3)

Congruences of elliptic curves arising from nonsurjective mod 𝑁 Galois representations ⋮ Explicit moduli spaces for congruences of elliptic curves ⋮ On 12-congruences of elliptic curves

Uses Software

• Magma

Cites Work

• Unnamed Item
• Twists of \(X(7)\) and primitive solutions to \(x^2+y^3=z^7\)
• Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
• The Magma algebra system. I: The user language
• Modular diagonal quotient surfaces
• Invariant theory for the elliptic normal quintic. I: Twists of \(X(5)\)
• On families of 7- and 11-congruent elliptic curves
• The Hessian of a genus one curve
• On families of 9-congruent elliptic curves
• The Arithmetic of Elliptic Curves
• On the modular curves $Y_E(7)$
• On a question of B. Mazur

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