Defining parameters
| Level: | \( N \) | \(=\) | \( 624 = 2^{4} \cdot 3 \cdot 13 \) |
| Weight: | \( k \) | \(=\) | \( 4 \) |
| Character orbit: | \([\chi]\) | \(=\) | 624.bf (of order \(4\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 39 \) |
| Character field: | \(\Q(i)\) | ||
| Sturm bound: | \(448\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(624, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 696 | 172 | 524 |
| Cusp forms | 648 | 164 | 484 |
| Eisenstein series | 48 | 8 | 40 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(624, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{4}^{\mathrm{old}}(624, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(624, [\chi]) \cong \)