Properties

Label 3025.1.cu
Level $3025$
Weight $1$
Character orbit 3025.cu
Rep. character $\chi_{3025}(47,\cdot)$
Character field $\Q(\zeta_{220})$
Dimension $0$
Newform subspaces $0$
Sturm bound $330$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 3025 = 5^{2} \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 3025.cu (of order \(220\) and degree \(80\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3025 \)
Character field: \(\Q(\zeta_{220})\)
Newform subspaces: \( 0 \)
Sturm bound: \(330\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(3025, [\chi])\).

Total New Old
Modular forms 160 160 0
Cusp forms 0 0 0
Eisenstein series 160 160 0

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