Defining parameters
| Level: | \( N \) | \(=\) | \( 1840 = 2^{4} \cdot 5 \cdot 23 \) |
| Weight: | \( k \) | \(=\) | \( 4 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1840.cr (of order \(44\) and degree \(20\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 460 \) |
| Character field: | \(\Q(\zeta_{44})\) | ||
| Sturm bound: | \(1152\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(1840, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 17520 | 4320 | 13200 |
| Cusp forms | 17040 | 4320 | 12720 |
| Eisenstein series | 480 | 0 | 480 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(1840, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{4}^{\mathrm{old}}(1840, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(1840, [\chi]) \cong \) \(S_{4}^{\mathrm{new}}(460, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(920, [\chi])\)\(^{\oplus 2}\)