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Tables of modular Galois representations

Nicolas Mascot 1
1 LFANT - Lithe and fast algorithmic number theory
IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
Abstract : We give tables of modular Galois representations obtained using the algo-rithm which we described in [Mas13]. We computed Galois representations modulo primes up to 31 for the first time. In particular, we computed the representations attached to a newform with non-rational (but of course algebraic) coefficients, which had never been done before. These computations take place in the jacobian of modular curves of genus up to 26. We also show how these computation results can be partially proved.
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https://hal.archives-ouvertes.fr/hal-01110252
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Submitted on : Tuesday, January 27, 2015 - 5:20:46 PM
Last modification on : Thursday, January 11, 2018 - 6:22:36 AM
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  • HAL Id : hal-01110252, version 1
  • ARXIV : 1312.6418

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Nicolas Mascot. Tables of modular Galois representations. 2014. ⟨hal-01110252⟩

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