Defining parameters
| Level: | \( N \) | \(=\) | \( 5776 = 2^{4} \cdot 19^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5776.bs (of order \(57\) and degree \(36\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 361 \) |
| Character field: | \(\Q(\zeta_{57})\) | ||
| Sturm bound: | \(1520\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5776, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 27576 | 6876 | 20700 |
| Cusp forms | 27144 | 6804 | 20340 |
| Eisenstein series | 432 | 72 | 360 |
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
\( S_{2}^{\mathrm{old}}(5776, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(361, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(722, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1444, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2888, [\chi])\)\(^{\oplus 2}\)