Properties

Label 4032.2.fk
Level $4032$
Weight $2$
Character orbit 4032.fk
Rep. character $\chi_{4032}(23,\cdot)$
Character field $\Q(\zeta_{24})$
Dimension $0$
Newform subspaces $0$
Sturm bound $1536$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 4032 = 2^{6} \cdot 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4032.fk (of order \(24\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2016 \)
Character field: \(\Q(\zeta_{24})\)
Newform subspaces: \( 0 \)
Sturm bound: \(1536\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4032, [\chi])\).

Total New Old
Modular forms 6208 0 6208
Cusp forms 6080 0 6080
Eisenstein series 128 0 128

Decomposition of \(S_{2}^{\mathrm{old}}(4032, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4032, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2016, [\chi])\)\(^{\oplus 2}\)