Properties

Label 15.9.a
Level 15
Weight 9
Character orbit a
Rep. character \(\chi_{15}(1,\cdot)\)
Character field \(\Q\)
Dimension 0
Newforms 0
Sturm bound 18
Trace bound 0

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Defining parameters

Level: \( N \) = \( 15 = 3 \cdot 5 \)
Weight: \( k \) = \( 9 \)
Character orbit: \([\chi]\) = 15.a (trivial)
Character field: \(\Q\)
Newforms: \( 0 \)
Sturm bound: \(18\)
Trace bound: \(0\)

Dimensions

There are no modular forms of weight 9 and character 15.a since the weight is odd while the character is even.