Defining parameters
| Level: | \( N \) | \(=\) | \( 2352 = 2^{4} \cdot 3 \cdot 7^{2} \) |
| Weight: | \( k \) | \(=\) | \( 4 \) |
| Character orbit: | \([\chi]\) | \(=\) | 2352.dn (of order \(84\) and degree \(24\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 784 \) |
| Character field: | \(\Q(\zeta_{84})\) | ||
| Sturm bound: | \(1792\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(2352, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 32352 | 16128 | 16224 |
| Cusp forms | 32160 | 16128 | 16032 |
| Eisenstein series | 192 | 0 | 192 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(2352, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{4}^{\mathrm{old}}(2352, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(2352, [\chi]) \simeq \) \(S_{4}^{\mathrm{new}}(784, [\chi])\)\(^{\oplus 2}\)