Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M2(900,[χ]).
|
Total |
New |
Old |
Modular forms
| 204 |
38 |
166 |
Cusp forms
| 156 |
38 |
118 |
Eisenstein series
| 48 |
0 |
48 |
Decomposition of S2new(900,[χ]) into newform subspaces
Decomposition of S2old(900,[χ]) into lower level spaces
S2old(900,[χ])≃ S2new(36,[χ])⊕3⊕S2new(60,[χ])⊕4⊕S2new(180,[χ])⊕2⊕S2new(300,[χ])⊕2