Defining parameters
| Level: | \( N \) | \(=\) | \( 9360 = 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 9360.bn (of order \(4\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1040 \) |
| Character field: | \(\Q(i)\) | ||
| Sturm bound: | \(4032\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9360, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 4064 | 1688 | 2376 |
| Cusp forms | 4000 | 1672 | 2328 |
| Eisenstein series | 64 | 16 | 48 |
Decomposition of \(S_{2}^{\mathrm{new}}(9360, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(9360, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9360, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1040, [\chi])\)\(^{\oplus 3}\)