Defining parameters
| Level: | \( N \) | \(=\) | \( 165 = 3 \cdot 5 \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 6 \) |
| Character orbit: | \([\chi]\) | \(=\) | 165.w (of order \(20\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 55 \) |
| Character field: | \(\Q(\zeta_{20})\) | ||
| Sturm bound: | \(144\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{6}(165, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 992 | 480 | 512 |
| Cusp forms | 928 | 480 | 448 |
| Eisenstein series | 64 | 0 | 64 |
Trace form
Decomposition of \(S_{6}^{\mathrm{new}}(165, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{6}^{\mathrm{old}}(165, [\chi])\) into lower level spaces
\( S_{6}^{\mathrm{old}}(165, [\chi]) \simeq \) \(S_{6}^{\mathrm{new}}(55, [\chi])\)\(^{\oplus 2}\)