Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M2(8820,[χ]).
|
Total |
New |
Old |
Modular forms
| 4224 |
160 |
4064 |
Cusp forms
| 3840 |
160 |
3680 |
Eisenstein series
| 384 |
0 |
384 |
Decomposition of S2new(8820,[χ]) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of S2old(8820,[χ]) into lower level spaces
S2old(8820,[χ])≃ S2new(105,[χ])⊕12⊕S2new(210,[χ])⊕8⊕S2new(315,[χ])⊕6⊕S2new(420,[χ])⊕4⊕S2new(630,[χ])⊕4⊕S2new(735,[χ])⊕6⊕S2new(1260,[χ])⊕2⊕S2new(1470,[χ])⊕4⊕S2new(2205,[χ])⊕3⊕S2new(2940,[χ])⊕2⊕S2new(4410,[χ])⊕2