Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M2(2400,[χ]).
|
Total |
New |
Old |
Modular forms
| 1056 |
72 |
984 |
Cusp forms
| 864 |
72 |
792 |
Eisenstein series
| 192 |
0 |
192 |
Decomposition of S2new(2400,[χ]) into newform subspaces
Decomposition of S2old(2400,[χ]) into lower level spaces
S2old(2400,[χ])≃ S2new(20,[χ])⊕16⊕S2new(60,[χ])⊕8⊕S2new(80,[χ])⊕8⊕S2new(100,[χ])⊕8⊕S2new(160,[χ])⊕4⊕S2new(240,[χ])⊕4⊕S2new(300,[χ])⊕4⊕S2new(400,[χ])⊕4⊕S2new(480,[χ])⊕2⊕S2new(800,[χ])⊕2⊕S2new(1200,[χ])⊕2