Defining parameters
| Level: | \( N \) | \(=\) | \( 8036 = 2^{2} \cdot 7^{2} \cdot 41 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8036.ex (of order \(840\) and degree \(192\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2009 \) |
| Character field: | \(\Q(\zeta_{840})\) | ||
| Sturm bound: | \(2352\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8036, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 226944 | 37632 | 189312 |
| Cusp forms | 224640 | 37632 | 187008 |
| Eisenstein series | 2304 | 0 | 2304 |
Decomposition of \(S_{2}^{\mathrm{new}}(8036, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8036, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8036, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2009, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4018, [\chi])\)\(^{\oplus 2}\)