Defining parameters
| Level: | \( N \) | \(=\) | \( 3960 = 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 1 \) |
| Character orbit: | \([\chi]\) | \(=\) | 3960.fh (of order \(20\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1320 \) |
| Character field: | \(\Q(\zeta_{20})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(864\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(3960, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 192 | 0 | 192 |
| Cusp forms | 64 | 0 | 64 |
| Eisenstein series | 128 | 0 | 128 |
The following table gives the dimensions of subspaces with specified projective image type.
| \(D_n\) | \(A_4\) | \(S_4\) | \(A_5\) | |
|---|---|---|---|---|
| Dimension | 0 | 0 | 0 | 0 |
Decomposition of \(S_{1}^{\mathrm{old}}(3960, [\chi])\) into lower level spaces
\( S_{1}^{\mathrm{old}}(3960, [\chi]) \simeq \) \(S_{1}^{\mathrm{new}}(1320, [\chi])\)\(^{\oplus 2}\)