Computing modular degrees using \(L\)-functions
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Publication:558159
DOI10.5802/jtnb.420zbMath1070.11021OpenAlexW2022659769MaRDI QIDQ558159
Publication date: 30 June 2005
Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=JTNB_2003__15_3_673_0
Elliptic curves over global fields (11G05) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)
Related Items (6)
Critical and ramification points of the modular parametrization of an elliptic curve ⋮ Modular degrees of elliptic curves and some quotient of \(L\)-values ⋮ Class numbers of real quadratic fields ⋮ One-level density for holomorphic cusp forms of arbitrary level ⋮ \(L\)-functions of automorphic forms and combinatorics: Dyck paths. ⋮ A conjecture of Watkins for quadratic twists
Uses Software
Cites Work
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- Twists of newforms and pseudo-eigenvalues of \(W\)-operators
- Coefficients of Maass forms and the Siegel zero. Appendix: An effective zero-free region, by Dorian Goldfeld, Jeffrey Hoffstein and Daniel Lieman
- Modular elliptic curves and Fermat's Last Theorem
- Ring-theoretic properties of certain Hecke algebras
- Hecke operators on \(\Gamma_0(m)\)
- On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
- Modular Parametrizations of Elliptic Curves
- Iwasawa theory for the symmetric square of an elliptic curve.
- The special values of the zeta functions associated with cusp forms
- Zeros of Dedekind zeta functions in the critical strip
- Computing the Degree of the Modular Parametrization of a Modular Elliptic Curve
- Advanced Topics in Computional Number Theory
- Computing the Modular Degree of an Elliptic Curve
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