Defining parameters
| Level: | \( N \) | \(=\) | \( 7865 = 5 \cdot 11^{2} \cdot 13 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7865.co (of order \(22\) and degree \(10\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 605 \) |
| Character field: | \(\Q(\zeta_{22})\) | ||
| Sturm bound: | \(1848\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7865, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 9280 | 7920 | 1360 |
| Cusp forms | 9200 | 7920 | 1280 |
| Eisenstein series | 80 | 0 | 80 |
Decomposition of \(S_{2}^{\mathrm{new}}(7865, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7865, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7865, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(605, [\chi])\)\(^{\oplus 2}\)