Defining parameters
| Level: | \( N \) | \(=\) | \( 8018 = 2 \cdot 19 \cdot 211 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8018.ci (of order \(35\) and degree \(24\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 211 \) |
| Character field: | \(\Q(\zeta_{35})\) | ||
| Sturm bound: | \(2120\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8018, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 25536 | 7632 | 17904 |
| Cusp forms | 25344 | 7632 | 17712 |
| Eisenstein series | 192 | 0 | 192 |
Decomposition of \(S_{2}^{\mathrm{new}}(8018, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8018, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8018, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(211, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(422, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4009, [\chi])\)\(^{\oplus 2}\)