Defining parameters
| Level: | \( N \) | \(=\) | \( 4002 = 2 \cdot 3 \cdot 23 \cdot 29 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4002.bu (of order \(308\) and degree \(120\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 667 \) |
| Character field: | \(\Q(\zeta_{308})\) | ||
| Sturm bound: | \(1440\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4002, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 87360 | 14400 | 72960 |
| Cusp forms | 85440 | 14400 | 71040 |
| Eisenstein series | 1920 | 0 | 1920 |
Decomposition of \(S_{2}^{\mathrm{new}}(4002, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4002, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4002, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(667, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1334, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2001, [\chi])\)\(^{\oplus 2}\)