Defining parameters
| Level: | \( N \) | \(=\) | \( 3680 = 2^{5} \cdot 5 \cdot 23 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 3680.ea (of order \(88\) and degree \(40\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 736 \) |
| Character field: | \(\Q(\zeta_{88})\) | ||
| Sturm bound: | \(1152\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(3680, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 23200 | 15360 | 7840 |
| Cusp forms | 22880 | 15360 | 7520 |
| Eisenstein series | 320 | 0 | 320 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(3680, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(3680, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(3680, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(736, [\chi])\)\(^{\oplus 2}\)