Defining parameters
| Level: | \( N \) | \(=\) | \( 11760 = 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 11760.jp (of order \(42\) and degree \(12\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 196 \) |
| Character field: | \(\Q(\zeta_{42})\) | ||
| Sturm bound: | \(5376\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(11760, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 32544 | 2688 | 29856 |
| Cusp forms | 31968 | 2688 | 29280 |
| Eisenstein series | 576 | 0 | 576 |
Decomposition of \(S_{2}^{\mathrm{new}}(11760, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(11760, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(11760, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(196, [\chi])\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(588, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(784, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(980, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2352, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2940, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3920, [\chi])\)\(^{\oplus 2}\)