Defining parameters
Level: | \( N \) | \(=\) | \( 464 = 2^{4} \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 464.j (of order \(4\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 464 \) |
Character field: | \(\Q(i)\) | ||
Sturm bound: | \(240\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(464, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 364 | 364 | 0 |
Cusp forms | 356 | 356 | 0 |
Eisenstein series | 8 | 8 | 0 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(464, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.