Elliptic curves with nonsplit mod $11$ representations

DOI10.1090/S0025-5718-03-01562-XzbMath1116.14024MaRDI QIDQ4452167

C. J. Cummins, Imin Chen

Publication date: 12 February 2004

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

zbMATH Keywords

\(j\)-invariants of the elliptic curvesinfinitely many elliptic curves over \(\mathbb{Q}\) with nonsplit mod \(11\) representations

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Computational aspects of algebraic curves (14Q05) Arithmetic aspects of modular and Shimura varieties (11G18) Elliptic and modular units (11G16)

Related Items (4)

Congruences of elliptic curves arising from nonsurjective mod 𝑁 Galois representations ⋮ -adic images of Galois for elliptic curves over (and an appendix with John Voight) ⋮ Normalizers of non-split Cartan subgroups, modular curves, and the class number one problem ⋮ Computing integral points on \(X_{\mathrm{ns}}^+(p)\)

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• Surjectivity of mod ℓ Representations Attached to Elliptic Curves and Congruence Primes

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