Defining parameters
| Level: | \( N \) | \(=\) | \( 6001 = 17 \cdot 353 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6001.dy (of order \(176\) and degree \(80\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 353 \) |
| Character field: | \(\Q(\zeta_{176})\) | ||
| Sturm bound: | \(1062\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6001, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 42720 | 37760 | 4960 |
| Cusp forms | 42400 | 37760 | 4640 |
| Eisenstein series | 320 | 0 | 320 |
Decomposition of \(S_{2}^{\mathrm{new}}(6001, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6001, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6001, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(353, [\chi])\)\(^{\oplus 2}\)