Defining parameters
| Level: | \( N \) | \(=\) | \( 5775 = 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5775.t (of order \(4\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1155 \) |
| Character field: | \(\Q(i)\) | ||
| Sturm bound: | \(1920\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5775, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1968 | 1168 | 800 |
| Cusp forms | 1872 | 1136 | 736 |
| Eisenstein series | 96 | 32 | 64 |
Decomposition of \(S_{2}^{\mathrm{new}}(5775, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5775, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5775, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1155, [\chi])\)\(^{\oplus 2}\)