Computing level one Hecke eigensystems (mod )

DOI10.1112/S1461157013000132zbMath1294.11052arXiv1102.3321MaRDI QIDQ5169603

Alexandru Ghitza, Craig Citro

Publication date: 11 July 2014

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.3321

zbMATH Keywords

modular formEisenstein seriesGalois representationsHecke operatorHecke eigensystem

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Holomorphic modular forms of integral weight (11F11) Algebraic number theory computations (11Y40) Galois representations (11F80) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (1)

On the computation of coefficients of modular forms: The reduction modulo $p$ approach

Cites Work

• Computing the number of certain Galois representations mod \(p\)
• The weight in Serre's conjectures on modular forms
• A tameness criterion for Galois representations associated to modular forms (mod \(p\))
• Galois properties of points of finite order of elliptic curves
• The class number of an imaginary quadratic field
• Computational Aspects of Modular Forms and Galois Representations
• Elliptic Modular Forms and Their Applications
• Non-Ordinary Primes: A Story
• Fast Library for Number Theory: An Introduction

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