On an elliptic curve defined over $\mathbb {Q}(\sqrt {-23})$

DOI10.1090/S1061-0022-2013-01254-4zbMath1335.11042OpenAlexW1552936433MaRDI QIDQ2849189

B. Z. Moroz, M. Mink, Luis V. Dieulefait

Publication date: 17 September 2013

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-2013-01254-4

zbMATH Keywords

elliptic curvemodularityHasse-Weil conjecture

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Uses Software

• PARI/GP

Cites Work

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• On the Modularity of Three Calabi–Yau Threefolds With Bad Reduction at 11
• Proving modularity for a given elliptic curve over an imaginary quadratic field
• On Euler Products and the Classification of Automorphic Forms II
• Arithmetic Applications of the Hyperbolic Lattice Point Theorem
• Advanced Topics in Computional Number Theory
• ℓ-adic Representations Associated to Modular Forms over Imaginary Quadratic Fields

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