Defining parameters
| Level: | \( N \) | \(=\) | \( 5800 = 2^{3} \cdot 5^{2} \cdot 29 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5800.fq (of order \(140\) and degree \(48\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2900 \) |
| Character field: | \(\Q(\zeta_{140})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(1800\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5800, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 43584 | 0 | 43584 |
| Cusp forms | 42816 | 0 | 42816 |
| Eisenstein series | 768 | 0 | 768 |
Decomposition of \(S_{2}^{\mathrm{old}}(5800, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5800, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2900, [\chi])\)\(^{\oplus 2}\)