Defining parameters
| Level: | \( N \) | \(=\) | \( 4640 = 2^{5} \cdot 5 \cdot 29 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4640.u (of order \(4\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1160 \) |
| Character field: | \(\Q(i)\) | ||
| Sturm bound: | \(1440\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4640, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1472 | 368 | 1104 |
| Cusp forms | 1408 | 352 | 1056 |
| Eisenstein series | 64 | 16 | 48 |
Decomposition of \(S_{2}^{\mathrm{new}}(4640, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4640, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4640, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1160, [\chi])\)\(^{\oplus 3}\)