Defining parameters
| Level: | \( N \) | \(=\) | \( 840 = 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
| Weight: | \( k \) | \(=\) | \( 4 \) |
| Character orbit: | \([\chi]\) | \(=\) | 840.cb (of order \(6\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 840 \) |
| Character field: | \(\Q(\zeta_{6})\) | ||
| Sturm bound: | \(768\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(840, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1168 | 1168 | 0 |
| Cusp forms | 1136 | 1136 | 0 |
| Eisenstein series | 32 | 32 | 0 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(840, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.