Defining parameters
| Level: | \( N \) | \(=\) | \( 867 = 3 \cdot 17^{2} \) |
| Weight: | \( k \) | \(=\) | \( 4 \) |
| Character orbit: | \([\chi]\) | \(=\) | 867.q (of order \(136\) and degree \(64\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 289 \) |
| Character field: | \(\Q(\zeta_{136})\) | ||
| Sturm bound: | \(408\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(867, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 19712 | 9856 | 9856 |
| Cusp forms | 19456 | 9856 | 9600 |
| Eisenstein series | 256 | 0 | 256 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(867, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{4}^{\mathrm{old}}(867, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(867, [\chi]) \simeq \) \(S_{4}^{\mathrm{new}}(289, [\chi])\)\(^{\oplus 2}\)