Defining parameters
| Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 6 \) |
| Character orbit: | \([\chi]\) | \(=\) | 462.p (of order \(6\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 77 \) |
| Character field: | \(\Q(\zeta_{6})\) | ||
| Sturm bound: | \(576\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{6}(462, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 976 | 160 | 816 |
| Cusp forms | 944 | 160 | 784 |
| Eisenstein series | 32 | 0 | 32 |
Trace form
Decomposition of \(S_{6}^{\mathrm{new}}(462, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{6}^{\mathrm{old}}(462, [\chi])\) into lower level spaces
\( S_{6}^{\mathrm{old}}(462, [\chi]) \cong \) \(S_{6}^{\mathrm{new}}(77, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(154, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(231, [\chi])\)\(^{\oplus 2}\)