Defining parameters
Level: | \( N \) | \(=\) | \( 1024 = 2^{10} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 1024.q (of order \(256\) and degree \(128\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1024 \) |
Character field: | \(\Q(\zeta_{256})\) | ||
Sturm bound: | \(512\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(1024, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 49280 | 49280 | 0 |
Cusp forms | 49024 | 49024 | 0 |
Eisenstein series | 256 | 256 | 0 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(1024, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.