Computing Galois representations of modular abelian surfaces

DOI10.1112/S1461157014000205zbMath1369.11106OpenAlexW2155446557MaRDI QIDQ2878826

Jinxiang Zeng

Publication date: 5 September 2014

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

Full work available at URL: https://doi.org/10.1112/s1461157014000205

zbMATH Keywords

newforms

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Algebraic number theory computations (11Y40) Galois representations (11F80) Arithmetic aspects of modular and Shimura varieties (11G18)

Related Items (1)

Frobenius elements in Galois representations with \(\mathrm{SL}_{n}\) image

Cites Work

• Computing modular Galois representations
• Identifying Frobenius elements in Galois groups
• The Magma algebra system. I: The user language
• The weight in Serre's conjectures on modular forms
• Canonical local heights and multiplication formulas for the Jacobians of curves of genus 2
• Computational Aspects of Modular Forms and Galois Representations
• Counting Points on Genus 2 Curves with Real Multiplication
• Modular curves of genus 2

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