Defining parameters
| Level: | \( N \) | \(=\) | \( 4320 = 2^{5} \cdot 3^{3} \cdot 5 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4320.ed (of order \(18\) and degree \(6\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 216 \) |
| Character field: | \(\Q(\zeta_{18})\) | ||
| Sturm bound: | \(1728\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4320, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 5280 | 864 | 4416 |
| Cusp forms | 5088 | 864 | 4224 |
| Eisenstein series | 192 | 0 | 192 |
Decomposition of \(S_{2}^{\mathrm{new}}(4320, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4320, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4320, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(216, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(864, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1080, [\chi])\)\(^{\oplus 3}\)