Defining parameters
| Level: | \( N \) | \(=\) | \( 6040 = 2^{3} \cdot 5 \cdot 151 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6040.db (of order \(30\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 604 \) |
| Character field: | \(\Q(\zeta_{30})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(1824\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6040, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 7360 | 0 | 7360 |
| Cusp forms | 7232 | 0 | 7232 |
| Eisenstein series | 128 | 0 | 128 |
Decomposition of \(S_{2}^{\mathrm{old}}(6040, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6040, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(604, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1208, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3020, [\chi])\)\(^{\oplus 2}\)