Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M2(150,[χ]).
|
Total |
New |
Old |
Modular forms
| 136 |
16 |
120 |
Cusp forms
| 104 |
16 |
88 |
Eisenstein series
| 32 |
0 |
32 |
Decomposition of S2new(150,[χ]) into newform subspaces
Decomposition of S2old(150,[χ]) into lower level spaces
S2old(150,[χ])≃ S2new(25,[χ])⊕4⊕S2new(50,[χ])⊕2⊕S2new(75,[χ])⊕2