Defining parameters
| Level: | \( N \) | \(=\) | \( 2016 = 2^{5} \cdot 3^{2} \cdot 7 \) |
| Weight: | \( k \) | \(=\) | \( 3 \) |
| Character orbit: | \([\chi]\) | \(=\) | 2016.ff (of order \(24\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 672 \) |
| Character field: | \(\Q(\zeta_{24})\) | ||
| Sturm bound: | \(1152\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{3}(2016, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 6208 | 2048 | 4160 |
| Cusp forms | 6080 | 2048 | 4032 |
| Eisenstein series | 128 | 0 | 128 |
Trace form
Decomposition of \(S_{3}^{\mathrm{new}}(2016, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{3}^{\mathrm{old}}(2016, [\chi])\) into lower level spaces
\( S_{3}^{\mathrm{old}}(2016, [\chi]) \cong \) \(S_{3}^{\mathrm{new}}(672, [\chi])\)\(^{\oplus 2}\)