Defining parameters
| Level: | \( N \) | \(=\) | \( 2448 = 2^{4} \cdot 3^{2} \cdot 17 \) |
| Weight: | \( k \) | \(=\) | \( 4 \) |
| Character orbit: | \([\chi]\) | \(=\) | 2448.dt (of order \(16\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 816 \) |
| Character field: | \(\Q(\zeta_{16})\) | ||
| Sturm bound: | \(1728\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(2448, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 10432 | 3456 | 6976 |
| Cusp forms | 10304 | 3456 | 6848 |
| Eisenstein series | 128 | 0 | 128 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(2448, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{4}^{\mathrm{old}}(2448, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(2448, [\chi]) \simeq \) \(S_{4}^{\mathrm{new}}(816, [\chi])\)\(^{\oplus 2}\)