Defining parameters
| Level: | \( N \) | \(=\) | \( 8015 = 5 \cdot 7 \cdot 229 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8015.fx (of order \(228\) and degree \(72\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1145 \) |
| Character field: | \(\Q(\zeta_{228})\) | ||
| Sturm bound: | \(1840\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8015, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 66528 | 49680 | 16848 |
| Cusp forms | 65952 | 49680 | 16272 |
| Eisenstein series | 576 | 0 | 576 |
Decomposition of \(S_{2}^{\mathrm{new}}(8015, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8015, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8015, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1145, [\chi])\)\(^{\oplus 2}\)