Defining parameters
| Level: | \( N \) | \(=\) | \( 5776 = 2^{4} \cdot 19^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5776.k (of order \(4\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 16 \) |
| Character field: | \(\Q(i)\) | ||
| Sturm bound: | \(1520\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5776, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1560 | 1398 | 162 |
| Cusp forms | 1480 | 1330 | 150 |
| Eisenstein series | 80 | 68 | 12 |
Decomposition of \(S_{2}^{\mathrm{new}}(5776, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5776, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5776, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(16, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(304, [\chi])\)\(^{\oplus 2}\)