Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M2(450,[χ]).
|
Total |
New |
Old |
Modular forms
| 114 |
8 |
106 |
Cusp forms
| 66 |
8 |
58 |
Eisenstein series
| 48 |
0 |
48 |
Decomposition of S2new(450,[χ]) into newform subspaces
Decomposition of S2old(450,[χ]) into lower level spaces
S2old(450,[χ])≃ S2new(30,[χ])⊕4⊕S2new(45,[χ])⊕4⊕S2new(50,[χ])⊕3⊕S2new(75,[χ])⊕4⊕S2new(90,[χ])⊕2⊕S2new(150,[χ])⊕2⊕S2new(225,[χ])⊕2