Defining parameters
| Level: | \( N \) | \(=\) | \( 5780 = 2^{2} \cdot 5 \cdot 17^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5780.cj (of order \(136\) and degree \(64\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 5780 \) |
| Character field: | \(\Q(\zeta_{136})\) | ||
| Sturm bound: | \(1836\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5780, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 59008 | 59008 | 0 |
| Cusp forms | 58496 | 58496 | 0 |
| Eisenstein series | 512 | 512 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(5780, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.