Defining parameters
Level: | \( N \) | \(=\) | \( 256 = 2^{8} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 256.m (of order \(64\) and degree \(32\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 256 \) |
Character field: | \(\Q(\zeta_{64})\) | ||
Sturm bound: | \(128\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(256, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 3104 | 3104 | 0 |
Cusp forms | 3040 | 3040 | 0 |
Eisenstein series | 64 | 64 | 0 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(256, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.