Defining parameters
| Level: | \( N \) | \(=\) | \( 2442 = 2 \cdot 3 \cdot 11 \cdot 37 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 2442.cb (of order \(36\) and degree \(12\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 407 \) |
| Character field: | \(\Q(\zeta_{36})\) | ||
| Sturm bound: | \(912\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2442, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 5568 | 912 | 4656 |
| Cusp forms | 5376 | 912 | 4464 |
| Eisenstein series | 192 | 0 | 192 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(2442, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(2442, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(2442, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(407, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(814, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1221, [\chi])\)\(^{\oplus 2}\)