Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M72(Γ0(2)).
|
Total |
New |
Old |
Modular forms
| 19 |
5 |
14 |
Cusp forms
| 17 |
5 |
12 |
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.
2 | | Total | | Cusp | | Eisenstein |
---|
All | New | Old | All | New | Old | All | New | Old |
---|
+ | | 10 | 3 | 7 | | 9 | 3 | 6 | | 1 | 0 | 1 |
− | | 9 | 2 | 7 | | 8 | 2 | 6 | | 1 | 0 | 1 |
Decomposition of S72new(Γ0(2)) into newform subspaces
Decomposition of S72old(Γ0(2)) into lower level spaces