Defining parameters
| Level: | \( N \) | \(=\) | \( 11424 = 2^{5} \cdot 3 \cdot 7 \cdot 17 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 11424.dl (of order \(6\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 168 \) |
| Character field: | \(\Q(\zeta_{6})\) | ||
| Sturm bound: | \(4608\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(11424, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 4672 | 1024 | 3648 |
| Cusp forms | 4544 | 1024 | 3520 |
| Eisenstein series | 128 | 0 | 128 |
Decomposition of \(S_{2}^{\mathrm{new}}(11424, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(11424, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(11424, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(168, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(672, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2856, [\chi])\)\(^{\oplus 3}\)