Properties

Label 720.6.ci
Level $720$
Weight $6$
Character orbit 720.ci
Rep. character $\chi_{720}(7,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $0$
Newform subspaces $0$
Sturm bound $864$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 720 = 2^{4} \cdot 3^{2} \cdot 5 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 720.ci (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 360 \)
Character field: \(\Q(\zeta_{12})\)
Newform subspaces: \( 0 \)
Sturm bound: \(864\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{6}(720, [\chi])\).

Total New Old
Modular forms 2912 0 2912
Cusp forms 2848 0 2848
Eisenstein series 64 0 64

Decomposition of \(S_{6}^{\mathrm{old}}(720, [\chi])\) into lower level spaces

\( S_{6}^{\mathrm{old}}(720, [\chi]) \cong \) \(S_{6}^{\mathrm{new}}(360, [\chi])\)\(^{\oplus 2}\)