Defining parameters
| Level: | \( N \) | \(=\) | \( 819 = 3^{2} \cdot 7 \cdot 13 \) |
| Weight: | \( k \) | \(=\) | \( 6 \) |
| Character orbit: | \([\chi]\) | \(=\) | 819.fh (of order \(12\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 117 \) |
| Character field: | \(\Q(\zeta_{12})\) | ||
| Sturm bound: | \(672\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{6}(819, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 2256 | 1680 | 576 |
| Cusp forms | 2224 | 1680 | 544 |
| Eisenstein series | 32 | 0 | 32 |
Trace form
Decomposition of \(S_{6}^{\mathrm{new}}(819, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{6}^{\mathrm{old}}(819, [\chi])\) into lower level spaces
\( S_{6}^{\mathrm{old}}(819, [\chi]) \simeq \) \(S_{6}^{\mathrm{new}}(117, [\chi])\)\(^{\oplus 2}\)