Tables of modular Galois representations

Nicolas Mascot

Published 2013-12-22, updated 2014-12-17Version 3

We give tables of modular Galois representations obtained using the algorithm which we described in our previous article. 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.