Defining parameters
Level: | \( N \) | \(=\) | \( 288 = 2^{5} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 288.bf (of order \(24\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 288 \) |
Character field: | \(\Q(\zeta_{24})\) | ||
Sturm bound: | \(384\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{8}(288, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 2704 | 2704 | 0 |
Cusp forms | 2672 | 2672 | 0 |
Eisenstein series | 32 | 32 | 0 |
Trace form
Decomposition of \(S_{8}^{\mathrm{new}}(288, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.