Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M12(Γ0(11)).
|
Total |
New |
Old |
Modular forms
| 12 |
8 |
4 |
Cusp forms
| 10 |
8 |
2 |
Eisenstein series
| 2 |
0 |
2 |
The following table gives the dimensions of the cuspidal new subspaces with specified eigenvalues for the Atkin-Lehner operators and the Fricke involution.
11 | | Total | | Cusp | | Eisenstein |
---|
All | New | Old | All | New | Old | All | New | Old |
---|
+ | | 7 | 5 | 2 | | 6 | 5 | 1 | | 1 | 0 | 1 |
− | | 5 | 3 | 2 | | 4 | 3 | 1 | | 1 | 0 | 1 |
Decomposition of S12new(Γ0(11)) into newform subspaces
Decomposition of S12old(Γ0(11)) into lower level spaces