Defining parameters
| Level: | \( N \) | \(=\) | \( 6003 = 3^{2} \cdot 23 \cdot 29 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6003.cc (of order \(44\) and degree \(20\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 667 \) |
| Character field: | \(\Q(\zeta_{44})\) | ||
| Sturm bound: | \(1440\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6003, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 14560 | 6040 | 8520 |
| Cusp forms | 14240 | 5960 | 8280 |
| Eisenstein series | 320 | 80 | 240 |
Decomposition of \(S_{2}^{\mathrm{new}}(6003, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6003, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6003, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(667, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2001, [\chi])\)\(^{\oplus 2}\)