Properties

Label 20.1.a
Level 20
Weight 1
Character orbit a
Rep. character \(\chi_{20}(1,\cdot)\)
Character field \(\Q\)
Dimension 0
Newform subspaces 0
Sturm bound 3
Trace bound 0

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Defining parameters

Level: \( N \) \(=\) \( 20 = 2^{2} \cdot 5 \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 20.a (trivial)
Character field: \(\Q\)
Newform subspaces: \( 0 \)
Sturm bound: \(3\)
Trace bound: \(0\)

Dimensions

There are no modular forms of weight 1 and character 20.a since the weight is odd while the character is even.

Hecke characteristic polynomials

There are no characteristic polynomials of Hecke operators in the database