Defining parameters
| Level: | \( N \) | \(=\) | \( 7865 = 5 \cdot 11^{2} \cdot 13 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7865.dr (of order \(60\) and degree \(16\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 715 \) |
| Character field: | \(\Q(\zeta_{60})\) | ||
| Sturm bound: | \(1848\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7865, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 15168 | 12352 | 2816 |
| Cusp forms | 14400 | 11840 | 2560 |
| Eisenstein series | 768 | 512 | 256 |
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
\( S_{2}^{\mathrm{old}}(7865, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(715, [\chi])\)\(^{\oplus 2}\)