Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M8(Γ0(16)).
|
Total |
New |
Old |
Modular forms
| 17 |
4 |
13 |
Cusp forms
| 11 |
3 |
8 |
Eisenstein series
| 6 |
1 |
5 |
The following table gives the dimensions of the cuspidal new subspaces with specified eigenvalues for the Atkin-Lehner operators and the Fricke involution.
2 | | Total | | Cusp | | Eisenstein |
---|
All | New | Old | All | New | Old | All | New | Old |
---|
+ | | 9 | 2 | 7 | | 6 | 2 | 4 | | 3 | 0 | 3 |
− | | 8 | 2 | 6 | | 5 | 1 | 4 | | 3 | 1 | 2 |
Decomposition of S8new(Γ0(16)) into newform subspaces
Decomposition of S8old(Γ0(16)) into lower level spaces