Properties

Label 3600.1.dh
Level $3600$
Weight $1$
Character orbit 3600.dh
Rep. character $\chi_{3600}(493,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $0$
Newform subspaces $0$
Sturm bound $720$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 3600 = 2^{4} \cdot 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 3600.dh (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 720 \)
Character field: \(\Q(\zeta_{12})\)
Newform subspaces: \( 0 \)
Sturm bound: \(720\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(3600, [\chi])\).

Total New Old
Modular forms 48 16 32
Cusp forms 0 0 0
Eisenstein series 48 16 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