Defining parameters
| Level: | \( N \) | \(=\) | \( 4864 = 2^{8} \cdot 19 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4864.bw (of order \(36\) and degree \(12\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 304 \) |
| Character field: | \(\Q(\zeta_{36})\) | ||
| Sturm bound: | \(1280\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4864, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 7968 | 1920 | 6048 |
| Cusp forms | 7392 | 1920 | 5472 |
| Eisenstein series | 576 | 0 | 576 |
Decomposition of \(S_{2}^{\mathrm{new}}(4864, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4864, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4864, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(304, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(608, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1216, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2432, [\chi])\)\(^{\oplus 2}\)