Defining parameters
| Level: | \( N \) | \(=\) | \( 2448 = 2^{4} \cdot 3^{2} \cdot 17 \) |
| Weight: | \( k \) | \(=\) | \( 4 \) |
| Character orbit: | \([\chi]\) | \(=\) | 2448.ch (of order \(8\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 204 \) |
| Character field: | \(\Q(\zeta_{8})\) | ||
| Sturm bound: | \(1728\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(2448, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 5280 | 432 | 4848 |
| Cusp forms | 5088 | 432 | 4656 |
| Eisenstein series | 192 | 0 | 192 |
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
\( S_{4}^{\mathrm{old}}(2448, [\chi]) \simeq \) \(S_{4}^{\mathrm{new}}(204, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(612, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(816, [\chi])\)\(^{\oplus 2}\)