Defining parameters
| Level: | \( N \) | \(=\) | \( 1584 = 2^{4} \cdot 3^{2} \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 4 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1584.bn (of order \(6\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 99 \) |
| Character field: | \(\Q(\zeta_{6})\) | ||
| Sturm bound: | \(1152\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(1584, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1752 | 436 | 1316 |
| Cusp forms | 1704 | 428 | 1276 |
| Eisenstein series | 48 | 8 | 40 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(1584, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{4}^{\mathrm{old}}(1584, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(1584, [\chi]) \simeq \) \(S_{4}^{\mathrm{new}}(99, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(198, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(396, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(792, [\chi])\)\(^{\oplus 2}\)