The paper explicitly realizes a modular abelian surface over Q(√61) with everywhere good reduction and no principal polarization as the Prym of a genus 3 curve.
Yuen, On the paramodularity of typical abelian surfaces , Algebra & Number Theory 13 (2019), no
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A Prym variety with everywhere good reduction over $\mathbb{Q}(\sqrt{61})$
The paper explicitly realizes a modular abelian surface over Q(√61) with everywhere good reduction and no principal polarization as the Prym of a genus 3 curve.