Defining parameters
| Level: | \( N \) | \(=\) | \( 528 = 2^{4} \cdot 3 \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 6 \) |
| Character orbit: | \([\chi]\) | \(=\) | 528.bl (of order \(10\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 132 \) |
| Character field: | \(\Q(\zeta_{10})\) | ||
| Sturm bound: | \(576\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{6}(528, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1968 | 480 | 1488 |
| Cusp forms | 1872 | 480 | 1392 |
| Eisenstein series | 96 | 0 | 96 |
Trace form
Decomposition of \(S_{6}^{\mathrm{new}}(528, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{6}^{\mathrm{old}}(528, [\chi])\) into lower level spaces
\( S_{6}^{\mathrm{old}}(528, [\chi]) \simeq \) \(S_{6}^{\mathrm{new}}(132, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(264, [\chi])\)\(^{\oplus 2}\)