Defining parameters
| Level: | \( N \) | \(=\) | \( 6040 = 2^{3} \cdot 5 \cdot 151 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6040.fc (of order \(150\) and degree \(40\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1208 \) |
| Character field: | \(\Q(\zeta_{150})\) | ||
| Sturm bound: | \(1824\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6040, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 36640 | 24320 | 12320 |
| Cusp forms | 36320 | 24320 | 12000 |
| Eisenstein series | 320 | 0 | 320 |
Decomposition of \(S_{2}^{\mathrm{new}}(6040, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6040, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6040, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1208, [\chi])\)\(^{\oplus 2}\)