Shimura curves of discriminant 14 and 15 and associated Heun Functions

Harshavardhan Reddy, Devendra Tiwari

The Shimura curve of discriminant $D$ for $D=14,15$ is uniformized by a subgroup of an arithmetic quadrilateral Fuchsian group $(2,2,2,q)$, where $q=4,6$. We relate the genera…