The \(L\)-functions and Modular Forms Database project

DOI10.1007/s10208-016-9306-zzbMath1354.11005arXiv1511.04289OpenAlexW3099031655WikidataQ59476758 ScholiaQ59476758MaRDI QIDQ506613

John E. Cremona

Publication date: 1 February 2017

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.04289

zbMATH Keywords

database\(L\)-functionsmodular forms

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Algebraic number theory computations (11Y40) Zeta functions and (L)-functions of number fields (11R42) Software, source code, etc. for problems pertaining to number theory (11-04) Zeta functions and (L)-functions (11S40)

Related Items (4)

Moduli spaces and modular forms. Abstracts from the workshop held January 31 -- February 6, 2021 (hybrid meeting) ⋮ A modular approach to the generalized Ramanujan-Nagell equation ⋮ Big Math and the one-brain barrier: the tetrapod model of mathematical knowledge ⋮ Computational Number Theory, Past, Present, and Future

Uses Software

• Magma
• PARI/GP
• SageMath
• ell-adic-galois-images

Cites Work

• The Magma algebra system. I: The user language
• Elliptic curves over \(\mathbb {Q}\) and 2-adic images of Galois
• Elliptic curves over real quadratic fields are modular
• A Database of Elliptic Curves over Q(sqrt(5)) - First Report
• Proving modularity for a given elliptic curve over an imaginary quadratic field
• Explicit Methods for Hilbert Modular Forms
• Counting configurations in designs

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