Calegari, F; Chidambaram, S; Ghitza, A
(AMER MATHEMATICAL SOC, 2020-01)
In this note, we use the main theorem of Boxer, Calegari, Gee, and Pilloni in Abelian surfaces over totally real fields are potentially modular (arXiv:1812.09269, 2018) to give explicit examples of modular abelian surfaces A with Endc A = Z and A smooth outside 2, 3, 5, and 7.