Defining parameters
| Level: | \( N \) | \(=\) | \( 680 = 2^{3} \cdot 5 \cdot 17 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 680.cl (of order \(16\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 68 \) |
| Character field: | \(\Q(\zeta_{16})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(216\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(680, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 928 | 0 | 928 |
| Cusp forms | 800 | 0 | 800 |
| Eisenstein series | 128 | 0 | 128 |
Decomposition of \(S_{2}^{\mathrm{old}}(680, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(680, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(68, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(340, [\chi])\)\(^{\oplus 2}\)