Explicit examples of modular abelian surfaces over Q without extra endomorphisms and with good reduction outside 2, 3, 5, 7 are constructed via an external theorem.
O'Brien, A millennium project: constructing small groups, Internat
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Some modular abelian surfaces
Explicit examples of modular abelian surfaces over Q without extra endomorphisms and with good reduction outside 2, 3, 5, 7 are constructed via an external theorem.