Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M2(252,[χ]).
|
Total |
New |
Old |
Modular forms
| 108 |
12 |
96 |
Cusp forms
| 84 |
12 |
72 |
Eisenstein series
| 24 |
0 |
24 |
Decomposition of S2new(252,[χ]) into newform subspaces
Decomposition of S2old(252,[χ]) into lower level spaces
S2old(252,[χ])≃ S2new(18,[χ])⊕4⊕S2new(36,[χ])⊕2⊕S2new(63,[χ])⊕3⊕S2new(126,[χ])⊕2