Computing the level of a modular rigid Calabi-Yau threefold.
Explicit determination of the images of the Galois representations attached to abelian surfaces with .
Newforms, inner twists, and the inverse Galois problem for projective linear groups
We reformulate more explicitly the results of Momose, Ribet and Papier concerning the images of the Galois representations attached to newforms without complex multiplication, restricted to the case of weight and trivial nebentypus. We compute two examples of these newforms, with a single inner twist, and we prove that for every inert prime greater than the image is as large as possible. As a consequence, we prove that the groups for every prime , and for every prime , are Galois groups...
Solving diophantine equations
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