Defining parameters
| Level: | \( N \) | \(=\) | \( 1323 = 3^{3} \cdot 7^{2} \) |
| Weight: | \( k \) | \(=\) | \( 4 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1323.be (of order \(18\) and degree \(6\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 189 \) |
| Character field: | \(\Q(\zeta_{18})\) | ||
| Sturm bound: | \(672\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(1323, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 3072 | 2184 | 888 |
| Cusp forms | 2976 | 2136 | 840 |
| Eisenstein series | 96 | 48 | 48 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(1323, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{4}^{\mathrm{old}}(1323, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(1323, [\chi]) \simeq \) \(S_{4}^{\mathrm{new}}(189, [\chi])\)\(^{\oplus 2}\)