Defining parameters
| Level: | \( N \) | \(=\) | \( 8880 = 2^{4} \cdot 3 \cdot 5 \cdot 37 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8880.gj (of order \(6\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1480 \) |
| Character field: | \(\Q(\zeta_{6})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(3648\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8880, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 3680 | 0 | 3680 |
| Cusp forms | 3616 | 0 | 3616 |
| Eisenstein series | 64 | 0 | 64 |
Decomposition of \(S_{2}^{\mathrm{old}}(8880, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8880, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1480, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2960, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4440, [\chi])\)\(^{\oplus 2}\)