Defining parameters
| Level: | \( N \) | \(=\) | \( 45738 = 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 45738.ck (of order \(18\) and degree \(6\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 189 \) |
| Character field: | \(\Q(\zeta_{18})\) | ||
| Sturm bound: | \(19008\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(45738, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 57312 | 15696 | 41616 |
| Cusp forms | 56736 | 15696 | 41040 |
| Eisenstein series | 576 | 0 | 576 |
Decomposition of \(S_{2}^{\mathrm{new}}(45738, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(45738, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(45738, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(189, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(378, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2079, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4158, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(22869, [\chi])\)\(^{\oplus 2}\)