Defining parameters
| Level: | \( N \) | \(=\) | \( 6041 = 7 \cdot 863 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6041.i (of order \(431\) and degree \(430\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 863 \) |
| Character field: | \(\Q(\zeta_{431})\) | ||
| Sturm bound: | \(1152\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6041, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 248540 | 185760 | 62780 |
| Cusp forms | 246820 | 185760 | 61060 |
| Eisenstein series | 1720 | 0 | 1720 |
Decomposition of \(S_{2}^{\mathrm{new}}(6041, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6041, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6041, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(863, [\chi])\)\(^{\oplus 2}\)