Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(\Gamma_1(643))\).
|
Total |
New |
Old |
Modular forms
| 324 |
324 |
0 |
Cusp forms
| 3 |
3 |
0 |
Eisenstein series
| 321 |
321 |
0 |
The following table gives the dimensions of subspaces with specified projective image type.
Decomposition of \(S_{1}^{\mathrm{new}}(\Gamma_1(643))\)
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 the newforms together with their dimension.