Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M2(750,[χ]).
|
Total |
New |
Old |
Modular forms
| 680 |
56 |
624 |
Cusp forms
| 520 |
56 |
464 |
Eisenstein series
| 160 |
0 |
160 |
Decomposition of S2new(750,[χ]) into newform subspaces
Decomposition of S2old(750,[χ]) into lower level spaces
S2old(750,[χ])≃ S2new(25,[χ])⊕8⊕S2new(50,[χ])⊕4⊕S2new(75,[χ])⊕4⊕S2new(125,[χ])⊕4⊕S2new(150,[χ])⊕2⊕S2new(250,[χ])⊕2⊕S2new(375,[χ])⊕2