An Algorithm for Modular Elliptic Curves over Real Quadratic Fields

DOI10.1080/10586458.2008.10128875zbMath1211.11078OpenAlexW2091671732MaRDI QIDQ5191014

Lassina Dembélé

Publication date: 28 July 2009

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1243429955

zbMATH Keywords

elliptic curvesHilbert modular formselliptic curves with everywhere good reductionOda conjecture

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (9)

Computing systems of Hecke eigenvalues associated to Hilbert modular forms ⋮ Computation of ATR Darmon Points on Nongeometrically Modular Elliptic Curves ⋮ A Table of Elliptic Curves over the Cubic Field of Discriminant–23 ⋮ Uniformization of modular elliptic curves via \(p\)-adic periods ⋮ Almost totally complex points on elliptic curves ⋮ Continued fractionsin $2$-stage Euclidean quadratic fields ⋮ Binary Hermitian forms over a cyclotomic field ⋮ Periods of Modular GL₂-type Abelian Varieties and p-adic Integration ⋮ On the change of root numbers under twisting and applications

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