Defining parameters
| Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
| Weight: | \( k \) | \(=\) | \( 4 \) |
| Character orbit: | \([\chi]\) | \(=\) | 273.t (of order \(6\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 91 \) |
| Character field: | \(\Q(\zeta_{6})\) | ||
| Sturm bound: | \(149\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(273, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 232 | 112 | 120 |
| Cusp forms | 216 | 112 | 104 |
| Eisenstein series | 16 | 0 | 16 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(273, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{4}^{\mathrm{old}}(273, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(273, [\chi]) \simeq \) \(S_{4}^{\mathrm{new}}(91, [\chi])\)\(^{\oplus 2}\)