Defining parameters
| Level: | \( N \) | \(=\) | \( 8021 = 13 \cdot 617 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8021.db (of order \(154\) and degree \(60\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 617 \) |
| Character field: | \(\Q(\zeta_{154})\) | ||
| Sturm bound: | \(1442\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8021, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 43320 | 37080 | 6240 |
| Cusp forms | 43080 | 37080 | 6000 |
| Eisenstein series | 240 | 0 | 240 |
Decomposition of \(S_{2}^{\mathrm{new}}(8021, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8021, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8021, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(617, [\chi])\)\(^{\oplus 2}\)