Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M2(8800,[χ]).
|
Total |
New |
Old |
Modular forms
| 1488 |
190 |
1298 |
Cusp forms
| 1392 |
190 |
1202 |
Eisenstein series
| 96 |
0 |
96 |
Decomposition of S2new(8800,[χ]) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of S2old(8800,[χ]) into lower level spaces
S2old(8800,[χ])≃ S2new(40,[χ])⊕12⊕S2new(88,[χ])⊕9⊕S2new(160,[χ])⊕4⊕S2new(200,[χ])⊕6⊕S2new(352,[χ])⊕3⊕S2new(440,[χ])⊕6⊕S2new(800,[χ])⊕2⊕S2new(1760,[χ])⊕2⊕S2new(2200,[χ])⊕3