Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M6(Γ0(42)).
|
Total |
New |
Old |
Modular forms
| 44 |
6 |
38 |
Cusp forms
| 36 |
6 |
30 |
Eisenstein series
| 8 |
0 |
8 |
The following table gives the dimensions of the cuspidal new subspaces with specified eigenvalues for the Atkin-Lehner operators and the Fricke involution.
Decomposition of S6new(Γ0(42)) into newform subspaces
Decomposition of S6old(Γ0(42)) into lower level spaces