Defining parameters
| Level: | \( N \) | \(=\) | \( 8016 = 2^{4} \cdot 3 \cdot 167 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8016.bj (of order \(166\) and degree \(82\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1336 \) |
| Character field: | \(\Q(\zeta_{166})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(2688\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8016, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 110864 | 0 | 110864 |
| Cusp forms | 109552 | 0 | 109552 |
| Eisenstein series | 1312 | 0 | 1312 |
Decomposition of \(S_{2}^{\mathrm{old}}(8016, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8016, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1336, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2672, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4008, [\chi])\)\(^{\oplus 2}\)