Defining parameters
| Level: | \( N \) | \(=\) | \( 1045 = 5 \cdot 11 \cdot 19 \) |
| Weight: | \( k \) | \(=\) | \( 6 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1045.cm (of order \(90\) and degree \(24\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 209 \) |
| Character field: | \(\Q(\zeta_{90})\) | ||
| Sturm bound: | \(720\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{6}(1045, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 14496 | 9600 | 4896 |
| Cusp forms | 14304 | 9600 | 4704 |
| Eisenstein series | 192 | 0 | 192 |
Trace form
Decomposition of \(S_{6}^{\mathrm{new}}(1045, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{6}^{\mathrm{old}}(1045, [\chi])\) into lower level spaces
\( S_{6}^{\mathrm{old}}(1045, [\chi]) \cong \) \(S_{6}^{\mathrm{new}}(209, [\chi])\)\(^{\oplus 2}\)