Defining parameters
| Level: | \( N \) | \(=\) | \( 8016 = 2^{4} \cdot 3 \cdot 167 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8016.y (of order \(83\) and degree \(82\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 167 \) |
| Character field: | \(\Q(\zeta_{83})\) | ||
| Sturm bound: | \(2688\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8016, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 111192 | 13776 | 97416 |
| Cusp forms | 109224 | 13776 | 95448 |
| Eisenstein series | 1968 | 0 | 1968 |
Decomposition of \(S_{2}^{\mathrm{new}}(8016, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8016, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8016, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(167, [\chi])\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(334, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(501, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(668, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1002, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1336, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2004, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2672, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4008, [\chi])\)\(^{\oplus 2}\)