Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M4(2100,[χ]).
|
Total |
New |
Old |
Modular forms
| 5904 |
288 |
5616 |
Cusp forms
| 5616 |
288 |
5328 |
Eisenstein series
| 288 |
0 |
288 |
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(35,[χ])⊕12⊕S4new(70,[χ])⊕8⊕S4new(105,[χ])⊕6⊕S4new(140,[χ])⊕4⊕S4new(175,[χ])⊕6⊕S4new(210,[χ])⊕4⊕S4new(350,[χ])⊕4⊕S4new(420,[χ])⊕2⊕S4new(525,[χ])⊕3⊕S4new(700,[χ])⊕2⊕S4new(1050,[χ])⊕2