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arXiv · 1906.10939

Some modular abelian surfaces

Frank Calegari·Shiva Chidambaram·Alexandru Ghitza
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Abstract

We use the main theorem of Boxer-Calegari-Gee-Pilloni (arXiv:1812.09269) to give explicit examples of modular abelian surfaces $A$ over $\mathbf{Q}$ without extra endomorhpisms such that $A$ has good reduction outside the primes 2, 3, 5, and 7.

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Frank Calegari, Shiva Chidambaram, Alexandru Ghitza. 2019-06-26. Some modular abelian surfaces. https://arxiv.org/abs/1906.10939

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