Defining parameters
Level: | \( N \) | \(=\) | \( 1288 = 2^{3} \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1288.cg (of order \(66\) and degree \(20\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 644 \) |
Character field: | \(\Q(\zeta_{66})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(384\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1288, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 4000 | 0 | 4000 |
Cusp forms | 3680 | 0 | 3680 |
Eisenstein series | 320 | 0 | 320 |
Decomposition of \(S_{2}^{\mathrm{old}}(1288, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(1288, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(644, [\chi])\)\(^{\oplus 2}\)