Defining parameters
| Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
| Weight: | \( k \) | \(=\) | \( 6 \) |
| Character orbit: | \([\chi]\) | \(=\) | 882.bl (of order \(42\) and degree \(12\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 147 \) |
| Character field: | \(\Q(\zeta_{42})\) | ||
| Sturm bound: | \(1008\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{6}(882, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 10176 | 1104 | 9072 |
| Cusp forms | 9984 | 1104 | 8880 |
| Eisenstein series | 192 | 0 | 192 |
Trace form
Decomposition of \(S_{6}^{\mathrm{new}}(882, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{6}^{\mathrm{old}}(882, [\chi])\) into lower level spaces
\( S_{6}^{\mathrm{old}}(882, [\chi]) \simeq \) \(S_{6}^{\mathrm{new}}(147, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(294, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(441, [\chi])\)\(^{\oplus 2}\)