Defining parameters
| Level: | \( N \) | \(=\) | \( 4018 = 2 \cdot 7^{2} \cdot 41 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4018.bi (of order \(40\) and degree \(16\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 287 \) |
| Character field: | \(\Q(\zeta_{40})\) | ||
| Sturm bound: | \(1176\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4018, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 9664 | 2240 | 7424 |
| Cusp forms | 9152 | 2240 | 6912 |
| Eisenstein series | 512 | 0 | 512 |
Decomposition of \(S_{2}^{\mathrm{new}}(4018, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4018, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4018, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(287, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(574, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2009, [\chi])\)\(^{\oplus 2}\)