Properties

Label 16.2.b
Level $16$
Weight $2$
Character orbit 16.b
Rep. character $\chi_{16}(9,\cdot)$
Character field $\Q$
Dimension $0$
Newform subspaces $0$
Sturm bound $4$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 16 = 2^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 16.b (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 8 \)
Character field: \(\Q\)
Newform subspaces: \( 0 \)
Sturm bound: \(4\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(16, [\chi])\).

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