Defining parameters
Level: | \( N \) | \(=\) | \( 9680 = 2^{4} \cdot 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 9680.fv (of order \(220\) and degree \(80\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 605 \) |
Character field: | \(\Q(\zeta_{220})\) | ||
Sturm bound: | \(3168\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9680, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 127680 | 31840 | 95840 |
Cusp forms | 125760 | 31520 | 94240 |
Eisenstein series | 1920 | 320 | 1600 |
Decomposition of \(S_{2}^{\mathrm{new}}(9680, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(9680, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9680, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(605, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1210, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2420, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4840, [\chi])\)\(^{\oplus 2}\)