Properties

Label 869.1.bb
Level $869$
Weight $1$
Character orbit 869.bb
Rep. character $\chi_{869}(14,\cdot)$
Character field $\Q(\zeta_{130})$
Dimension $0$
Newform subspaces $0$
Sturm bound $80$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 869 = 11 \cdot 79 \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 869.bb (of order \(130\) and degree \(48\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 869 \)
Character field: \(\Q(\zeta_{130})\)
Newform subspaces: \( 0 \)
Sturm bound: \(80\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(869, [\chi])\).

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