Computing Congruences of Modular Forms and Galois Representations Modulo Prime Powers

zbMath1219.11069arXiv0909.2724MaRDI QIDQ3062349

Xavier Taixés i Ventosa, Gabor Wiese

Publication date: 3 January 2011

Full work available at URL: https://arxiv.org/abs/0909.2724

zbMATH Keywords

congruencesmodular formsGalois representations

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Holomorphic modular forms of integral weight (11F11) Galois representations (11F80) Analytic computations (11Y35)

Related Items (4)

Topics on Modular Galois Representations Modulo Prime Powers ⋮ The theta cycles for modular forms modulo prime powers ⋮ Examples of abelian surfaces failing the local-global principle for isogenies ⋮ Dihedral group, 4-torsion on an elliptic curve, and a peculiar eigenform modulo 4

Uses Software

• Magma

This page was built for publication: Computing Congruences of Modular Forms and Galois Representations Modulo Prime Powers