Defining parameters
| Level: | \( N \) | \(=\) | \( 4056 = 2^{3} \cdot 3 \cdot 13^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4056.dh (of order \(78\) and degree \(24\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1352 \) |
| Character field: | \(\Q(\zeta_{78})\) | ||
| Sturm bound: | \(1456\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4056, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 17568 | 8736 | 8832 |
| Cusp forms | 17376 | 8736 | 8640 |
| Eisenstein series | 192 | 0 | 192 |
Decomposition of \(S_{2}^{\mathrm{new}}(4056, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4056, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4056, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1352, [\chi])\)\(^{\oplus 2}\)