Defining parameters
| Level: | \( N \) | \(=\) | \( 45486 = 2 \cdot 3^{2} \cdot 7 \cdot 19^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 45486.ji (of order \(114\) and degree \(36\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 22743 \) |
| Character field: | \(\Q(\zeta_{114})\) | ||
| Sturm bound: | \(18240\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(45486, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 328608 | 109440 | 219168 |
| Cusp forms | 328032 | 109440 | 218592 |
| Eisenstein series | 576 | 0 | 576 |
Decomposition of \(S_{2}^{\mathrm{new}}(45486, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(45486, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(45486, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(22743, [\chi])\)\(^{\oplus 2}\)