Defining parameters
| Level: | \( N \) | \(=\) | \( 6031 = 37 \cdot 163 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6031.cc (of order \(18\) and degree \(6\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 37 \) |
| Character field: | \(\Q(\zeta_{18})\) | ||
| Sturm bound: | \(1038\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6031, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 3132 | 3072 | 60 |
| Cusp forms | 3108 | 3072 | 36 |
| Eisenstein series | 24 | 0 | 24 |
Decomposition of \(S_{2}^{\mathrm{new}}(6031, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6031, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6031, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(37, [\chi])\)\(^{\oplus 2}\)