Defining parameters
| Level: | \( N \) | \(=\) | \( 3822 = 2 \cdot 3 \cdot 7^{2} \cdot 13 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 3822.bi (of order \(6\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 273 \) |
| Character field: | \(\Q(\zeta_{6})\) | ||
| Sturm bound: | \(1568\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(3822, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1632 | 372 | 1260 |
| Cusp forms | 1504 | 372 | 1132 |
| Eisenstein series | 128 | 0 | 128 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(3822, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(3822, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(3822, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(273, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(546, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1911, [\chi])\)\(^{\oplus 2}\)