Defining parameters
| Level: | \( N \) | \(=\) | \( 2960 = 2^{4} \cdot 5 \cdot 37 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 2960.id (of order \(36\) and degree \(12\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 740 \) |
| Character field: | \(\Q(\zeta_{36})\) | ||
| Sturm bound: | \(912\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2960, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 5616 | 1368 | 4248 |
| Cusp forms | 5328 | 1368 | 3960 |
| Eisenstein series | 288 | 0 | 288 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(2960, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(2960, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(2960, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(740, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1480, [\chi])\)\(^{\oplus 2}\)