Defining parameters
| Level: | \( N \) | \(=\) | \( 308 = 2^{2} \cdot 7 \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 4 \) |
| Character orbit: | \([\chi]\) | \(=\) | 308.d (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 44 \) |
| Character field: | \(\Q\) | ||
| Sturm bound: | \(192\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(308, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 148 | 108 | 40 |
| Cusp forms | 140 | 108 | 32 |
| Eisenstein series | 8 | 0 | 8 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(308, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{4}^{\mathrm{old}}(308, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(308, [\chi]) \simeq \) \(S_{4}^{\mathrm{new}}(44, [\chi])\)\(^{\oplus 2}\)