Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M2(1764,[χ]).
|
Total |
New |
Old |
Modular forms
| 720 |
80 |
640 |
Cusp forms
| 624 |
80 |
544 |
Eisenstein series
| 96 |
0 |
96 |
Decomposition of S2new(1764,[χ]) into newform subspaces
Decomposition of S2old(1764,[χ]) into lower level spaces
S2old(1764,[χ])≃ S2new(63,[χ])⊕6⊕S2new(126,[χ])⊕4⊕S2new(252,[χ])⊕2⊕S2new(441,[χ])⊕3⊕S2new(882,[χ])⊕2