Defining parameters
| Level: | \( N \) | \(=\) | \( 8042 = 2 \cdot 4021 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8042.m (of order \(67\) and degree \(66\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4021 \) |
| Character field: | \(\Q(\zeta_{67})\) | ||
| Sturm bound: | \(2011\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8042, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 66462 | 22242 | 44220 |
| Cusp forms | 66198 | 22242 | 43956 |
| Eisenstein series | 264 | 0 | 264 |
Decomposition of \(S_{2}^{\mathrm{new}}(8042, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8042, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8042, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(4021, [\chi])\)\(^{\oplus 2}\)