Equations of hyperelliptic Shimura curves
Equations of hyperelliptic Shimura curves
We describe a method for computing equations of hyperelliptic Shimura curves attached to indefinite quaternion algebras over ā and AtkināLehner quotients of them. It exploits ÄerednikāDrinfeld 's non-archimedean uniformization of Shimura curves, a formula of Gross and Zagier for the endomorphism ring of Heegner points over Artinian rings and the ā¦