Properties

Label 1375.1.cs
Level $1375$
Weight $1$
Character orbit 1375.cs
Rep. character $\chi_{1375}(37,\cdot)$
Character field $\Q(\zeta_{100})$
Dimension $0$
Newform subspaces $0$
Sturm bound $150$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 1375 = 5^{3} \cdot 11 \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 1375.cs (of order \(100\) and degree \(40\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1375 \)
Character field: \(\Q(\zeta_{100})\)
Newform subspaces: \( 0 \)
Sturm bound: \(150\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(1375, [\chi])\).

Total New Old
Modular forms 80 80 0
Cusp forms 0 0 0
Eisenstein series 80 80 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