Defining parameters
| Level: | \( N \) | \(=\) | \( 1224 = 2^{3} \cdot 3^{2} \cdot 17 \) |
| Weight: | \( k \) | \(=\) | \( 4 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1224.l (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 136 \) |
| Character field: | \(\Q\) | ||
| Sturm bound: | \(864\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(1224, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 656 | 272 | 384 |
| Cusp forms | 640 | 268 | 372 |
| Eisenstein series | 16 | 4 | 12 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(1224, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{4}^{\mathrm{old}}(1224, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(1224, [\chi]) \cong \) \(S_{4}^{\mathrm{new}}(136, [\chi])\)\(^{\oplus 3}\)