The Hecke operators on \(S_ k(\Gamma_ 1(N))\)
The Eichler-Shimura theorem in the cohomology of the modular group is used to develop an algorithm which computes a basis for the space \(S_k (\Gamma_1 (N))\) of cusp forms of integral weight \(k \geq 2\) for the congruence subgroup \(\Gamma_1 (N)\). Also, an algorithm is given for computing newforms. The paper contains tables of Fourier coefficients for newforms of weights 2 and 3 for some small levels \(N\).
scientific article; zbMATH DE number 740423