Defining parameters
| Level: | \( N \) | \(=\) | \( 14400 = 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 14400.ic (of order \(48\) and degree \(16\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 576 \) |
| Character field: | \(\Q(\zeta_{48})\) | ||
| Sturm bound: | \(5760\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(14400, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 46272 | 29280 | 16992 |
| Cusp forms | 45888 | 29088 | 16800 |
| Eisenstein series | 384 | 192 | 192 |
Decomposition of \(S_{2}^{\mathrm{new}}(14400, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(14400, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(14400, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(576, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2880, [\chi])\)\(^{\oplus 2}\)