Defining parameters
| Level: | \( N \) | \(=\) | \( 1008 = 2^{4} \cdot 3^{2} \cdot 7 \) |
| Weight: | \( k \) | \(=\) | \( 3 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1008.br (of order \(6\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 252 \) |
| Character field: | \(\Q(\zeta_{6})\) | ||
| Sturm bound: | \(576\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{3}(1008, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 792 | 192 | 600 |
| Cusp forms | 744 | 192 | 552 |
| Eisenstein series | 48 | 0 | 48 |
Trace form
Decomposition of \(S_{3}^{\mathrm{new}}(1008, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{3}^{\mathrm{old}}(1008, [\chi])\) into lower level spaces
\( S_{3}^{\mathrm{old}}(1008, [\chi]) \simeq \) \(S_{3}^{\mathrm{new}}(252, [\chi])\)\(^{\oplus 3}\)