Defining parameters
Level: | \( N \) | \(=\) | \( 9680 = 2^{4} \cdot 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 9680.eg (of order \(44\) and degree \(20\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4840 \) |
Character field: | \(\Q(\zeta_{44})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(3168\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9680, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 31840 | 0 | 31840 |
Cusp forms | 31520 | 0 | 31520 |
Eisenstein series | 320 | 0 | 320 |
Decomposition of \(S_{2}^{\mathrm{old}}(9680, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9680, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(4840, [\chi])\)\(^{\oplus 2}\)