Defining parameters
| Level: | \( N \) | \(=\) | \( 6010 = 2 \cdot 5 \cdot 601 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6010.cs (of order \(200\) and degree \(80\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 3005 \) |
| Character field: | \(\Q(\zeta_{200})\) | ||
| Sturm bound: | \(1806\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6010, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 72560 | 24080 | 48480 |
| Cusp forms | 71920 | 24080 | 47840 |
| Eisenstein series | 640 | 0 | 640 |
Decomposition of \(S_{2}^{\mathrm{new}}(6010, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6010, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6010, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3005, [\chi])\)\(^{\oplus 2}\)