Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M4(2100,[χ]).
|
Total |
New |
Old |
Modular forms
| 5808 |
368 |
5440 |
Cusp forms
| 5712 |
368 |
5344 |
Eisenstein series
| 96 |
0 |
96 |
Decomposition of S4new(2100,[χ]) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of S4old(2100,[χ]) into lower level spaces
S4old(2100,[χ])≃ S4new(25,[χ])⊕12⊕S4new(50,[χ])⊕8⊕S4new(75,[χ])⊕6⊕S4new(100,[χ])⊕4⊕S4new(150,[χ])⊕4⊕S4new(175,[χ])⊕6⊕S4new(300,[χ])⊕2⊕S4new(350,[χ])⊕4⊕S4new(525,[χ])⊕3⊕S4new(700,[χ])⊕2⊕S4new(1050,[χ])⊕2