Properties

Label 15.2.b
Level 15
Weight 2
Character orbit b
Rep. character \(\chi_{15}(4,\cdot)\)
Character field \(\Q\)
Dimension 0
Newforms 0
Sturm bound 4
Trace bound 0

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Defining parameters

Level: \( N \) = \( 15 = 3 \cdot 5 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 15.b (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 5 \)
Character field: \(\Q\)
Newforms: \( 0 \)
Sturm bound: \(4\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(15, [\chi])\).

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