Some modular abelian surfaces

by 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.