Defining parameters
| Level: | \( N \) | \(=\) | \( 6031 = 37 \cdot 163 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6031.fm (of order \(81\) and degree \(54\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 163 \) |
| Character field: | \(\Q(\zeta_{81})\) | ||
| Sturm bound: | \(1038\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6031, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 28188 | 26568 | 1620 |
| Cusp forms | 27972 | 26568 | 1404 |
| Eisenstein series | 216 | 0 | 216 |
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
\( S_{2}^{\mathrm{old}}(6031, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(163, [\chi])\)\(^{\oplus 2}\)