Defining parameters
| Level: | \( N \) | \(=\) | \( 6760 = 2^{3} \cdot 5 \cdot 13^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6760.bj (of order \(4\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 520 \) |
| Character field: | \(\Q(i)\) | ||
| Sturm bound: | \(2184\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6760, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 2240 | 1888 | 352 |
| Cusp forms | 2128 | 1808 | 320 |
| Eisenstein series | 112 | 80 | 32 |
Decomposition of \(S_{2}^{\mathrm{new}}(6760, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6760, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6760, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(520, [\chi])\)\(^{\oplus 2}\)