Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M2(Γ0(1331)).
|
Total |
New |
Old |
Modular forms
| 132 |
100 |
32 |
Cusp forms
| 111 |
100 |
11 |
Eisenstein series
| 21 |
0 |
21 |
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 |
---|
+ | | 55 | 40 | 15 | | 45 | 40 | 5 | | 10 | 0 | 10 |
− | | 77 | 60 | 17 | | 66 | 60 | 6 | | 11 | 0 | 11 |
Decomposition of S2new(Γ0(1331)) into newform subspaces
Decomposition of S2old(Γ0(1331)) into lower level spaces