Properties

Label 3724.1.cq
Level $3724$
Weight $1$
Character orbit 3724.cq
Rep. character $\chi_{3724}(99,\cdot)$
Character field $\Q(\zeta_{18})$
Dimension $0$
Newform subspaces $0$
Sturm bound $560$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 3724 = 2^{2} \cdot 7^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 3724.cq (of order \(18\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 76 \)
Character field: \(\Q(\zeta_{18})\)
Newform subspaces: \( 0 \)
Sturm bound: \(560\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(3724, [\chi])\).

Total New Old
Modular forms 96 60 36
Cusp forms 0 0 0
Eisenstein series 96 60 36

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