Defining parameters
| Level: | \( N \) | \(=\) | \( 8026 = 2 \cdot 4013 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8026.j (of order \(1003\) and degree \(928\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4013 \) |
| Character field: | \(\Q(\zeta_{1003})\) | ||
| Sturm bound: | \(2007\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8026, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 932640 | 310880 | 621760 |
| Cusp forms | 928928 | 310880 | 618048 |
| Eisenstein series | 3712 | 0 | 3712 |
Decomposition of \(S_{2}^{\mathrm{new}}(8026, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8026, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8026, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(4013, [\chi])\)\(^{\oplus 2}\)