Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(\Gamma_1(59))\).
|
Total |
New |
Old |
Modular forms
| 30 |
30 |
0 |
Cusp forms
| 1 |
1 |
0 |
Eisenstein series
| 29 |
29 |
0 |
The following table gives the dimensions of subspaces with specified projective image type.
Decomposition of \(S_{1}^{\mathrm{new}}(\Gamma_1(59))\)
We only show spaces with odd parity, since no modular forms exist when this condition is not satisfied. Within each space \( S_k^{\mathrm{new}}(N, \chi) \) we list available newforms together with their dimension.