Properties

Label 32.6.e
Level 32
Weight 6
Character orbit e
Rep. character \(\chi_{32}(9,\cdot)\)
Character field \(\Q(\zeta_{4})\)
Dimension 0
Newform subspaces 0
Sturm bound 24
Trace bound 0

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Defining parameters

Level: \( N \) \(=\) \( 32 = 2^{5} \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 32.e (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 16 \)
Character field: \(\Q(i)\)
Newform subspaces: \( 0 \)
Sturm bound: \(24\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{6}(32, [\chi])\).

Total New Old
Modular forms 44 0 44
Cusp forms 36 0 36
Eisenstein series 8 0 8

Decomposition of \(S_{6}^{\mathrm{old}}(32, [\chi])\) into lower level spaces

\( S_{6}^{\mathrm{old}}(32, [\chi]) \cong \) \(S_{6}^{\mathrm{new}}(16, [\chi])\)\(^{\oplus 2}\)

Hecke characteristic polynomials

There are no characteristic polynomials of Hecke operators in the database