Defining parameters
| Level: | \( N \) | \(=\) | \( 7920 = 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7920.kc (of order \(30\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 396 \) |
| Character field: | \(\Q(\zeta_{30})\) | ||
| Sturm bound: | \(3456\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7920, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 14016 | 2304 | 11712 |
| Cusp forms | 13632 | 2304 | 11328 |
| Eisenstein series | 384 | 0 | 384 |
Decomposition of \(S_{2}^{\mathrm{new}}(7920, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7920, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7920, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(396, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(792, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1584, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1980, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3960, [\chi])\)\(^{\oplus 2}\)