Defining parameters
Level: | \( N \) | \(=\) | \( 784 = 2^{4} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 784.bu (of order \(84\) and degree \(24\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 784 \) |
Character field: | \(\Q(\zeta_{84})\) | ||
Sturm bound: | \(448\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(784, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 8112 | 8112 | 0 |
Cusp forms | 8016 | 8016 | 0 |
Eisenstein series | 96 | 96 | 0 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(784, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.