Properties

Label 9680.2.df
Level $9680$
Weight $2$
Character orbit 9680.df
Rep. character $\chi_{9680}(441,\cdot)$
Character field $\Q(\zeta_{22})$
Dimension $0$
Newform subspaces $0$
Sturm bound $3168$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 9680 = 2^{4} \cdot 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 9680.df (of order \(22\) and degree \(10\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 968 \)
Character field: \(\Q(\zeta_{22})\)
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 15920 0 15920
Cusp forms 15760 0 15760
Eisenstein series 160 0 160

Decomposition of \(S_{2}^{\mathrm{old}}(9680, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(9680, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(968, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4840, [\chi])\)\(^{\oplus 2}\)