Samuele Anni, Eran Assaf, Elisa Lorenzo García
Published 2022-03-12Version 1
In this paper we prove that there are finitely many modular curves that admit a smooth plane model. Moreover, if the degree of the model is greater than or equal to 10, no such curve exists. For modular curves of Shimura type we show that none can admit a smooth plane model of degree 5, 6 or 7.
Modular Curves Of Genus 2
Regular models of modular curves in prime level over ${\mathbb Z}_p^{\mathrm{ur}}$
Special points on products of modular curves
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