Defining parameters
| Level: | \( N \) | \(=\) | \( 912 = 2^{4} \cdot 3 \cdot 19 \) |
| Weight: | \( k \) | \(=\) | \( 4 \) |
| Character orbit: | \([\chi]\) | \(=\) | 912.ci (of order \(18\) and degree \(6\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 76 \) |
| Character field: | \(\Q(\zeta_{18})\) | ||
| Sturm bound: | \(640\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(912, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 2952 | 360 | 2592 |
| Cusp forms | 2808 | 360 | 2448 |
| Eisenstein series | 144 | 0 | 144 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(912, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{4}^{\mathrm{old}}(912, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(912, [\chi]) \cong \) \(S_{4}^{\mathrm{new}}(76, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(152, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(228, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(304, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(456, [\chi])\)\(^{\oplus 2}\)