English

Some modular abelian surfaces

Number Theory 2019-06-27 v1

Abstract

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

Keywords

Cite

@article{arxiv.1906.10939,
  title  = {Some modular abelian surfaces},
  author = {Frank Calegari and Shiva Chidambaram and Alexandru Ghitza},
  journal= {arXiv preprint arXiv:1906.10939},
  year   = {2019}
}

Comments

to appear in Mathematics of Computation

R2 v1 2026-06-23T10:03:55.510Z