Properties

Label 20.9.a
Level 20
Weight 9
Character orbit a
Rep. character \(\chi_{20}(1,\cdot)\)
Character field \(\Q\)
Dimension 0
Newforms 0
Sturm bound 27
Trace bound 0

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Defining parameters

Level: \( N \) = \( 20 = 2^{2} \cdot 5 \)
Weight: \( k \) = \( 9 \)
Character orbit: \([\chi]\) = 20.a (trivial)
Character field: \(\Q\)
Newforms: \( 0 \)
Sturm bound: \(27\)
Trace bound: \(0\)

Dimensions

There are no modular forms of weight 9 and character 20.a since the weight is odd while the character is even.