Defining parameters
| Level: | \( N \) | \(=\) | \( 4080 = 2^{4} \cdot 3 \cdot 5 \cdot 17 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4080.gf (of order \(8\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 816 \) |
| Character field: | \(\Q(\zeta_{8})\) | ||
| Sturm bound: | \(1728\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4080, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 3488 | 2304 | 1184 |
| Cusp forms | 3424 | 2304 | 1120 |
| Eisenstein series | 64 | 0 | 64 |
Decomposition of \(S_{2}^{\mathrm{new}}(4080, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4080, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4080, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(816, [\chi])\)\(^{\oplus 2}\)