Properties

Label 360.1.bq
Level 360
Weight 1
Character orbit bq
Rep. character \(\chi_{360}(23,\cdot)\)
Character field \(\Q(\zeta_{12})\)
Dimension 0
Newform subspaces 0
Sturm bound 72
Trace bound 0

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Defining parameters

Level: \( N \) \(=\) \( 360 = 2^{3} \cdot 3^{2} \cdot 5 \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 360.bq (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 180 \)
Character field: \(\Q(\zeta_{12})\)
Newform subspaces: \( 0 \)
Sturm bound: \(72\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(360, [\chi])\).

Total New Old
Modular forms 32 0 32
Cusp forms 0 0 0
Eisenstein series 32 0 32

The following table gives the dimensions of subspaces with specified projective image type.

\(D_n\) \(A_4\) \(S_4\) \(A_5\)
Dimension 0 0 0 0

Hecke characteristic polynomials

There are no characteristic polynomials of Hecke operators in the database