Alex Ghitza

Some modular abelian surfaces

F. Calegari, S. Chidambaram, A. Ghitza

Math. Comp. 89 (2020), 387-394.

We use the main theorem of 'Abelian surfaces over totally real fields are potentially modular' by Boxer-Calegari-Gee-Pilloni to give explicit examples of modular abelian surfaces A over Q without extra endomorphisms such that A has good reduction outside the primes 2, 3, 5, and 7.

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