Periods of Cusp Forms and Elliptic Curves Over Imaginary Quadratic Fields

DOI10.2307/2153419zbMath0798.11015OpenAlexW2038180223MaRDI QIDQ4286612

Elise Whitley, John E. Cremona

Publication date: 1 November 1994

Full work available at URL: https://doi.org/10.2307/2153419

zbMATH Keywords

tableselliptic curvesmodular symbolsisogeny classesBirch--Swinnerton-Dyer conjecturerational new-formsvalue of \(L\)-series

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Computational aspects of algebraic curves (14Q05) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items

Stark-Heegner points on elliptic curves defined over imaginary quadratic fields, Computing the Rank of Elliptic Curves over Number Fields, Bianchi modular symbols and \(p\)-adic \(L\)-functions, On elliptic curves of prime power conductor over imaginary quadratic fields with class number 1, Hecke Operators and Hilbert Modular Forms, Arithmetic properties of similitude theta lifts from orthogonal to symplectic groups, The homological torsion of PSL$_2$ of the imaginary quadratic integers, Cohomology of arithmetic groups and periods of automorphic forms, Proving modularity for a given elliptic curve over an imaginary quadratic field, Binary Hermitian forms over a cyclotomic field, Torsion homology growth and cycle complexity of arithmetic manifolds, Periods of Modular GL₂-type Abelian Varieties and p-adic Integration, On Serre's modularity conjecture and Fermat's equation over quadratic imaginary fields of class number one, On the Cohomology of Congruence Subgroups of GL₃ over the Eisenstein Integers, On Fermat's equation over some quadratic imaginary number fields, Examples of genuine QM abelian surfaces which are modular, Modular symbols for \(\mathbb{Q}\)-rank one groups and Voronoĭ reduction, Functional equation of the \(p\)-adic \(L\)-function of Bianchi modular forms, Lectures on Computing Cohomology of Arithmetic Groups, Computing Modular Forms for GL2 over Certain Number Fields

Uses Software

• ecdata

Cites Work

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