Properties

Label 9680.2.ft
Level $9680$
Weight $2$
Character orbit 9680.ft
Rep. character $\chi_{9680}(47,\cdot)$
Character field $\Q(\zeta_{220})$
Dimension $31680$
Sturm bound $3168$

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Defining parameters

Level: \( N \) \(=\) \( 9680 = 2^{4} \cdot 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 9680.ft (of order \(220\) and degree \(80\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2420 \)
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 31680 96000
Cusp forms 125760 31680 94080
Eisenstein series 1920 0 1920

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

\( S_{2}^{\mathrm{old}}(9680, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2420, [\chi])\)\(^{\oplus 3}\)