Defining parameters
Level: | \( N \) | \(=\) | \( 2057 = 11^{2} \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 2057.bh (of order \(176\) and degree \(80\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2057 \) |
Character field: | \(\Q(\zeta_{176})\) | ||
Sturm bound: | \(792\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(2057, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 47680 | 47680 | 0 |
Cusp forms | 47360 | 47360 | 0 |
Eisenstein series | 320 | 320 | 0 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(2057, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.