Defining parameters
| Level: | \( N \) | \(=\) | \( 6013 = 7 \cdot 859 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6013.bf (of order \(33\) and degree \(20\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 859 \) |
| Character field: | \(\Q(\zeta_{33})\) | ||
| Sturm bound: | \(1146\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6013, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 11520 | 8600 | 2920 |
| Cusp forms | 11440 | 8600 | 2840 |
| Eisenstein series | 80 | 0 | 80 |
Decomposition of \(S_{2}^{\mathrm{new}}(6013, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6013, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6013, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(859, [\chi])\)\(^{\oplus 2}\)