Defining parameters
| Level: | \( N \) | \(=\) | \( 7935 = 3 \cdot 5 \cdot 23^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7935.s (of order \(22\) and degree \(10\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 69 \) |
| Character field: | \(\Q(\zeta_{22})\) | ||
| Sturm bound: | \(2208\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7935, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 11520 | 6720 | 4800 |
| Cusp forms | 10560 | 6720 | 3840 |
| Eisenstein series | 960 | 0 | 960 |
Decomposition of \(S_{2}^{\mathrm{new}}(7935, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7935, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7935, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(69, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(345, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1587, [\chi])\)\(^{\oplus 2}\)