Defining parameters
| Level: | \( N \) | \(=\) | \( 8006 = 2 \cdot 4003 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8006.o (of order \(2001\) and degree \(1232\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4003 \) |
| Character field: | \(\Q(\zeta_{2001})\) | ||
| Sturm bound: | \(2002\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8006, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1235696 | 410256 | 825440 |
| Cusp forms | 1230768 | 410256 | 820512 |
| Eisenstein series | 4928 | 0 | 4928 |
Decomposition of \(S_{2}^{\mathrm{new}}(8006, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8006, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8006, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(4003, [\chi])\)\(^{\oplus 2}\)