Defining parameters
Level: | \( N \) | \(=\) | \( 1856 = 2^{6} \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1856.ch (of order \(56\) and degree \(24\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 928 \) |
Character field: | \(\Q(\zeta_{56})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(480\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1856, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 5856 | 0 | 5856 |
Cusp forms | 5664 | 0 | 5664 |
Eisenstein series | 192 | 0 | 192 |
Decomposition of \(S_{2}^{\mathrm{old}}(1856, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(1856, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(928, [\chi])\)\(^{\oplus 2}\)