Shimura subgroup
# Shimura subgroup

In mathematics, the Shimura subgroup Σ(N) is a subgroup of the Jacobian of the modular curve $X_0(N)$ of level N, given by the kernel of the natural map to the Jacobian of $X_1(N).$ It is named after Goro Shimura. There is a similar subgroup Σ(N,D) associated to Shimura curves of quaternion algebras.

