Defining parameters
| Level: | \( N \) | \(=\) | \( 16830 = 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 16830.hw (of order \(48\) and degree \(16\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 765 \) |
| Character field: | \(\Q(\zeta_{48})\) | ||
| Sturm bound: | \(7776\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(16830, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 62464 | 17280 | 45184 |
| Cusp forms | 61952 | 17280 | 44672 |
| Eisenstein series | 512 | 0 | 512 |
Decomposition of \(S_{2}^{\mathrm{new}}(16830, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(16830, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(16830, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(765, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1530, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(8415, [\chi])\)\(^{\oplus 2}\)