Defining parameters
Level: | \( N \) | \(=\) | \( 624 = 2^{4} \cdot 3 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 624.bu (of order \(6\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 156 \) |
Character field: | \(\Q(\zeta_{6})\) | ||
Sturm bound: | \(448\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(624, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 696 | 168 | 528 |
Cusp forms | 648 | 168 | 480 |
Eisenstein series | 48 | 0 | 48 |
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
\( S_{4}^{\mathrm{old}}(624, [\chi]) \cong \) \(S_{4}^{\mathrm{new}}(156, [\chi])\)\(^{\oplus 3}\)