Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M2(2040,[χ]).
|
Total |
New |
Old |
Modular forms
| 448 |
36 |
412 |
Cusp forms
| 416 |
36 |
380 |
Eisenstein series
| 32 |
0 |
32 |
Decomposition of S2new(2040,[χ]) into newform subspaces
Decomposition of S2old(2040,[χ]) into lower level spaces
S2old(2040,[χ])≃ S2new(34,[χ])⊕12⊕S2new(51,[χ])⊕8⊕S2new(68,[χ])⊕8⊕S2new(85,[χ])⊕8⊕S2new(102,[χ])⊕6⊕S2new(136,[χ])⊕4⊕S2new(170,[χ])⊕6⊕S2new(204,[χ])⊕4⊕S2new(255,[χ])⊕4⊕S2new(340,[χ])⊕4⊕S2new(408,[χ])⊕2⊕S2new(510,[χ])⊕3⊕S2new(680,[χ])⊕2⊕S2new(1020,[χ])⊕2