Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M14(Γ0(9)).
|
Total |
New |
Old |
Modular forms
| 15 |
6 |
9 |
Cusp forms
| 11 |
5 |
6 |
Eisenstein series
| 4 |
1 |
3 |
The following table gives the dimensions of the cuspidal new subspaces with specified eigenvalues for the Atkin-Lehner operators and the Fricke involution.
3 | | Total | | Cusp | | Eisenstein |
---|
All | New | Old | All | New | Old | All | New | Old |
---|
+ | | 7 | 2 | 5 | | 5 | 2 | 3 | | 2 | 0 | 2 |
− | | 8 | 4 | 4 | | 6 | 3 | 3 | | 2 | 1 | 1 |
Decomposition of S14new(Γ0(9)) into newform subspaces
Decomposition of S14old(Γ0(9)) into lower level spaces