Defining parameters
| Level: | \( N \) | \(=\) | \( 864 = 2^{5} \cdot 3^{3} \) |
| Weight: | \( k \) | \(=\) | \( 5 \) |
| Character orbit: | \([\chi]\) | \(=\) | 864.x (of order \(8\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 96 \) |
| Character field: | \(\Q(\zeta_{8})\) | ||
| Sturm bound: | \(720\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{5}(864, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 2328 | 1024 | 1304 |
| Cusp forms | 2280 | 1024 | 1256 |
| Eisenstein series | 48 | 0 | 48 |
Trace form
Decomposition of \(S_{5}^{\mathrm{new}}(864, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{5}^{\mathrm{old}}(864, [\chi])\) into lower level spaces
\( S_{5}^{\mathrm{old}}(864, [\chi]) \simeq \) \(S_{5}^{\mathrm{new}}(96, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{5}^{\mathrm{new}}(288, [\chi])\)\(^{\oplus 2}\)