Defining parameters
| Level: | \( N \) | \(=\) | \( 6400 = 2^{8} \cdot 5^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6400.cy (of order \(64\) and degree \(32\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1280 \) |
| Character field: | \(\Q(\zeta_{64})\) | ||
| Sturm bound: | \(1920\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6400, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 30912 | 18496 | 12416 |
| Cusp forms | 30528 | 18368 | 12160 |
| Eisenstein series | 384 | 128 | 256 |
Decomposition of \(S_{2}^{\mathrm{new}}(6400, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6400, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6400, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1280, [\chi])\)\(^{\oplus 2}\)