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