Defining parameters
| Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
| Weight: | \( k \) | \(=\) | \( 6 \) |
| Character orbit: | \([\chi]\) | \(=\) | 570.s (of order \(6\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 57 \) |
| Character field: | \(\Q(\zeta_{6})\) | ||
| Sturm bound: | \(720\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{6}(570, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1216 | 272 | 944 |
| Cusp forms | 1184 | 272 | 912 |
| Eisenstein series | 32 | 0 | 32 |
Trace form
Decomposition of \(S_{6}^{\mathrm{new}}(570, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{6}^{\mathrm{old}}(570, [\chi])\) into lower level spaces
\( S_{6}^{\mathrm{old}}(570, [\chi]) \cong \)