Defining parameters
| Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
| Weight: | \( k \) | \(=\) | \( 12 \) |
| Character orbit: | \([\chi]\) | \(=\) | 273.p (of order \(4\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 91 \) |
| Character field: | \(\Q(i)\) | ||
| Sturm bound: | \(448\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{12}(273, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 832 | 408 | 424 |
| Cusp forms | 816 | 408 | 408 |
| Eisenstein series | 16 | 0 | 16 |
Trace form
Decomposition of \(S_{12}^{\mathrm{new}}(273, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{12}^{\mathrm{old}}(273, [\chi])\) into lower level spaces
\( S_{12}^{\mathrm{old}}(273, [\chi]) \cong \) \(S_{12}^{\mathrm{new}}(91, [\chi])\)\(^{\oplus 2}\)