Defining parameters
| Level: | \( N \) | \(=\) | \( 1840 = 2^{4} \cdot 5 \cdot 23 \) |
| Weight: | \( k \) | \(=\) | \( 4 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1840.cd (of order \(22\) and degree \(10\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 920 \) |
| Character field: | \(\Q(\zeta_{22})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(1152\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(1840, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 8720 | 0 | 8720 |
| Cusp forms | 8560 | 0 | 8560 |
| Eisenstein series | 160 | 0 | 160 |
Decomposition of \(S_{4}^{\mathrm{old}}(1840, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(1840, [\chi]) \cong \) \(S_{4}^{\mathrm{new}}(920, [\chi])\)\(^{\oplus 2}\)