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Sep 26, 2023 at 6:20 comment added Coherent Sheaf Thank you very much. This answer is very helpful!
Sep 26, 2023 at 0:36 comment added GH from MO @PeterHumphries Your second $\Gamma_1(N^2)$ should be $\Gamma_0(N^2)$.
Sep 25, 2023 at 19:19 comment added Peter Humphries Moreover, forms on $\Gamma(N)$ can naturally be mapped to forms on $\Gamma_1(N^2)$ (and written as a finite linear combination of forms on $\Gamma_1(N^2)$ with central character of conductor dividing $N$).
Sep 25, 2023 at 18:42 history answered Will Sawin CC BY-SA 4.0