Luis Dieulefait
Published 2004-03-30Version 1
In a previous article (a joint work with J. Manoharmayum) the modularity of a large class of rigid Calabi-Yau threefolds was established. To make that result more explicit, we recall (and re-prove) a result of Serre giving a bound for the conductor of an "integral" 2-dimensional compatible family of Galois representations and apply this result to give an algorithm that determines the level of a modular rigid Calabi-Yau threefold. We apply the algorithm to three examples.
Comments: to appear in Exp. Math
Torsion in the cohomology of congruence subgroups of SL(4,Z) and Galois representations
Reductions of Galois representations of Slope $\frac{3}{2}$
Frobenius elements in Galois representations with SL_n image
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