Defining parameters
| Level: | \( N \) | \(=\) | \( 8012 = 2^{2} \cdot 2003 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8012.j (of order \(14\) and degree \(6\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 8012 \) |
| Character field: | \(\Q(\zeta_{14})\) | ||
| Sturm bound: | \(2004\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8012, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 6024 | 6024 | 0 |
| Cusp forms | 6000 | 6000 | 0 |
| Eisenstein series | 24 | 24 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(8012, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.