Properties

Label 309.1.b
Level $309$
Weight $1$
Character orbit 309.b
Rep. character $\chi_{309}(104,\cdot)$
Character field $\Q$
Dimension $0$
Newform subspaces $0$
Sturm bound $34$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 309 = 3 \cdot 103 \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 309.b (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3 \)
Character field: \(\Q\)
Newform subspaces: \( 0 \)
Sturm bound: \(34\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(309, [\chi])\).

Total New Old
Modular forms 2 0 2
Cusp forms 0 0 0
Eisenstein series 2 0 2

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