Defining parameters
| Level: | \( N \) | \(=\) | \( 8044 = 2^{2} \cdot 2011 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8044.bc (of order \(1005\) and degree \(528\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2011 \) |
| Character field: | \(\Q(\zeta_{1005})\) | ||
| Sturm bound: | \(2012\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8044, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 532752 | 88704 | 444048 |
| Cusp forms | 529584 | 88704 | 440880 |
| Eisenstein series | 3168 | 0 | 3168 |
Decomposition of \(S_{2}^{\mathrm{new}}(8044, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8044, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8044, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2011, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4022, [\chi])\)\(^{\oplus 2}\)