Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of M2(3000,[χ]).
|
Total |
New |
Old |
Modular forms
| 1240 |
384 |
856 |
Cusp forms
| 1160 |
384 |
776 |
Eisenstein series
| 80 |
0 |
80 |
Decomposition of S2new(3000,[χ]) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of S2old(3000,[χ]) into lower level spaces
S2old(3000,[χ])≃ S2new(40,[χ])⊕6⊕S2new(120,[χ])⊕3⊕S2new(200,[χ])⊕4⊕S2new(600,[χ])⊕2⊕S2new(1000,[χ])⊕2