Congruences between modular forms and lowering the level mod \(\ell^n\)

DOI10.5802/JTNB.660zbMath1290.11089arXiv0801.0104OpenAlexW2133772484MaRDI QIDQ1032669

Xavier Taixés i Ventosa, Luis V. Dieulefait

Publication date: 26 October 2009

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.0104

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Galois representations (11F80)

Uses Software

• Magma

Cites Work

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• Sur les représentations galoisiennes modulo \(\ell\) attachées aux formes modulaires. (On Galois representations modulo \(\ell\) attached to modular forms)
• The Magma algebra system. I: The user language
• On modular representations of \(\text{Gal}(\overline{\mathbb Q}/\mathbb Q)\) arising from modular forms
• on l-adic representations attached to modular forms II
• Projective linear groups as Galois groups over \({\mathbb Q}\) via modular representations

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