Defining parameters
| Level: | \( N \) | \(=\) | \( 3960 = 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 3960.dp (of order \(10\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1320 \) |
| Character field: | \(\Q(\zeta_{10})\) | ||
| Sturm bound: | \(1728\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(3960, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 3520 | 1152 | 2368 |
| Cusp forms | 3392 | 1152 | 2240 |
| Eisenstein series | 128 | 0 | 128 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(3960, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(3960, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(3960, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1320, [\chi])\)\(^{\oplus 2}\)