Defining parameters
| Level: | \( N \) | \(=\) | \( 2304 = 2^{8} \cdot 3^{2} \) |
| Weight: | \( k \) | \(=\) | \( 3 \) |
| Character orbit: | \([\chi]\) | \(=\) | 2304.bs (of order \(64\) and degree \(32\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 768 \) |
| Character field: | \(\Q(\zeta_{64})\) | ||
| Sturm bound: | \(1152\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{3}(2304, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 24704 | 8192 | 16512 |
| Cusp forms | 24448 | 8192 | 16256 |
| Eisenstein series | 256 | 0 | 256 |
Trace form
Decomposition of \(S_{3}^{\mathrm{new}}(2304, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{3}^{\mathrm{old}}(2304, [\chi])\) into lower level spaces
\( S_{3}^{\mathrm{old}}(2304, [\chi]) \cong \) \(S_{3}^{\mathrm{new}}(768, [\chi])\)\(^{\oplus 2}\)