Defining parameters
Level: | \( N \) | \(=\) | \( 1856 = 2^{6} \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1856.bp (of order \(16\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1856 \) |
Character field: | \(\Q(\zeta_{16})\) | ||
Sturm bound: | \(480\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1856, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1936 | 1936 | 0 |
Cusp forms | 1904 | 1904 | 0 |
Eisenstein series | 32 | 32 | 0 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(1856, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.