Defining parameters
| Level: | \( N \) | \(=\) | \( 4368 = 2^{4} \cdot 3 \cdot 7 \cdot 13 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4368.gb (of order \(6\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 273 \) |
| Character field: | \(\Q(\zeta_{6})\) | ||
| Sturm bound: | \(1792\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4368, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1840 | 456 | 1384 |
| Cusp forms | 1744 | 440 | 1304 |
| Eisenstein series | 96 | 16 | 80 |
Decomposition of \(S_{2}^{\mathrm{new}}(4368, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4368, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4368, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(273, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(546, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1092, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2184, [\chi])\)\(^{\oplus 2}\)