Eigenforms on Gamma₁(N)

William Stein

These are MAGMA-readable tables of the (Galois conjugacy classes of) eigenforms on S_k(Gamma₁(N)), for small k and N, organized by weight. They were computed by enumerating all mod N Dirichlet characters chi, then using modular symbols to compute the action of Hecke operators on S_k(Gamma₁(N),chi). We computed the first 37 coefficients of the Fourier expansion of each eigenform.

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Eigenforms eiggamma1_k2.m.gz: k=2,   N<=81 eiggamma1_k3.m.gz: k=3,   N<=33 eiggamma1_k4.m.gz: k=4,   N<=46 eiggamma1_k14.m.gz: k=14,   N<=18 eiggamma1_k15.m.gz: k=15,   N<=16 eiggamma1_k16.m.gz: k=16,   N<=15 eiggamma1_k17.m.gz: k=17,   N<=15 eiggamma1_k31.m.gz: k=31 eiggamma1_k32.m.gz: k=32 eiggamma1_k33.m.gz: k=33 eiggamma1_k34.m.gz: k=34