Defining parameters
| Level: | \( N \) | \(=\) | \( 2680 = 2^{3} \cdot 5 \cdot 67 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 2680.db (of order \(66\) and degree \(20\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 268 \) |
| Character field: | \(\Q(\zeta_{66})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(816\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2680, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 8320 | 0 | 8320 |
| Cusp forms | 8000 | 0 | 8000 |
| Eisenstein series | 320 | 0 | 320 |
Decomposition of \(S_{2}^{\mathrm{old}}(2680, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(2680, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(268, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(536, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1340, [\chi])\)\(^{\oplus 2}\)