On families of 7- and 11-congruent elliptic curves

DOI10.1112/S1461157014000059zbMath1366.11078arXiv1105.1706WikidataQ114077763 ScholiaQ114077763MaRDI QIDQ2827286

Tom A. Fisher

Publication date: 13 October 2016

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.1706

zbMATH Keywords

modular curves\(n\)-torsion subgroupscongruent elliptic curves

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Galois representations (11F80)

Related Items (13)

Hesse pencils and 3-torsion structures ⋮ Congruences of elliptic curves arising from nonsurjective mod 𝑁 Galois representations ⋮ Global methods for the symplectic type of congruences between elliptic curves ⋮ On families of 9-congruent elliptic curves ⋮ \(p\)-torsion monodromy representations of elliptic curves over geometric function fields ⋮ Multiplicities in Selmer groups and root numbers of Artin twists ⋮ Families of elliptic curves with the same mod 8 representations ⋮ On the symplectic type of isomorphisms of the 𝑝-torsion of elliptic curves ⋮ Explicit moduli spaces for congruences of elliptic curves ⋮ On 12-congruences of elliptic curves ⋮ Explicit methods in number theory. Abstracts from the workshop held July 18--24, 2021 (hybrid meeting) ⋮ Visualizing elements of order in the Tate–Shafarevich group of an elliptic curve ⋮ The generalized Fermat equation with exponents 2, 3,

Uses Software

• ecdata

Cites Work

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