Defining parameters
| Level: | \( N \) | \(=\) | \( 15840 = 2^{5} \cdot 3^{2} \cdot 5 \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 15840.nh (of order \(40\) and degree \(16\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1760 \) |
| Character field: | \(\Q(\zeta_{40})\) | ||
| Sturm bound: | \(6912\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(15840, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 55552 | 23104 | 32448 |
| Cusp forms | 55040 | 22976 | 32064 |
| Eisenstein series | 512 | 128 | 384 |
Decomposition of \(S_{2}^{\mathrm{new}}(15840, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(15840, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(15840, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1760, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(5280, [\chi])\)\(^{\oplus 2}\)