Properties

Label 9.3.b
Level 9
Weight 3
Character orbit b
Rep. character \(\chi_{9}(8,\cdot)\)
Character field \(\Q\)
Dimension 0
Newform subspaces 0
Sturm bound 3
Trace bound 0

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Defining parameters

Level: \( N \) = \( 9 = 3^{2} \)
Weight: \( k \) = \( 3 \)
Character orbit: \([\chi]\) = 9.b (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 3 \)
Character field: \(\Q\)
Newform subspaces: \( 0 \)
Sturm bound: \(3\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{3}(9, [\chi])\).

Total New Old
Modular forms 4 0 4
Cusp forms 0 0 0
Eisenstein series 4 0 4

Hecke Characteristic Polynomials

There are no characteristic polynomials of Hecke operators in the database