Defining parameters
| Level: | \( N \) | \(=\) | \( 2352 = 2^{4} \cdot 3 \cdot 7^{2} \) |
| Weight: | \( k \) | \(=\) | \( 4 \) |
| Character orbit: | \([\chi]\) | \(=\) | 2352.c (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 8 \) |
| Character field: | \(\Q\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(1792\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(2352, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1376 | 0 | 1376 |
| Cusp forms | 1312 | 0 | 1312 |
| Eisenstein series | 64 | 0 | 64 |
Decomposition of \(S_{4}^{\mathrm{old}}(2352, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(2352, [\chi]) \cong \)