Defining parameters
| Level: | \( N \) | \(=\) | \( 1449 = 3^{2} \cdot 7 \cdot 23 \) |
| Weight: | \( k \) | \(=\) | \( 4 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1449.bz (of order \(33\) and degree \(20\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 161 \) |
| Character field: | \(\Q(\zeta_{33})\) | ||
| Sturm bound: | \(768\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(1449, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 11680 | 4840 | 6840 |
| Cusp forms | 11360 | 4760 | 6600 |
| Eisenstein series | 320 | 80 | 240 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(1449, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{4}^{\mathrm{old}}(1449, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(1449, [\chi]) \simeq \) \(S_{4}^{\mathrm{new}}(161, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(483, [\chi])\)\(^{\oplus 2}\)