Defining parameters
| Level: | \( N \) | \(=\) | \( 4160 = 2^{6} \cdot 5 \cdot 13 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4160.ju (of order \(48\) and degree \(16\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 832 \) |
| Character field: | \(\Q(\zeta_{48})\) | ||
| Sturm bound: | \(1344\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4160, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 10816 | 7168 | 3648 |
| Cusp forms | 10688 | 7168 | 3520 |
| Eisenstein series | 128 | 0 | 128 |
Decomposition of \(S_{2}^{\mathrm{new}}(4160, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4160, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4160, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(832, [\chi])\)\(^{\oplus 2}\)