Properties

Label 864.2.z
Level 864
Weight 2
Character orbit z
Rep. character \(\chi_{864}(71,\cdot)\)
Character field \(\Q(\zeta_{12})\)
Dimension 0
Newform subspaces 0
Sturm bound 288
Trace bound 0

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Defining parameters

Level: \( N \) = \( 864 = 2^{5} \cdot 3^{3} \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 864.z (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 144 \)
Character field: \(\Q(\zeta_{12})\)
Newform subspaces: \( 0 \)
Sturm bound: \(288\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(864, [\chi])\).

Total New Old
Modular forms 624 0 624
Cusp forms 528 0 528
Eisenstein series 96 0 96

Decomposition of \(S_{2}^{\mathrm{old}}(864, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(864, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(144, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(432, [\chi])\)\(^{\oplus 2}\)

Hecke Characteristic Polynomials

There are no characteristic polynomials of Hecke operators in the database