Properties

 Label 39.1.c Level 39 Weight 1 Character orbit c Rep. character $$\chi_{39}(14,\cdot)$$ Character field $$\Q$$ Dimension 0 Newforms 0 Sturm bound 4 Trace bound 0

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Defining parameters

 Level: $$N$$ = $$39 = 3 \cdot 13$$ Weight: $$k$$ = $$1$$ Character orbit: $$[\chi]$$ = 39.c (of order $$2$$ and degree $$1$$) Character conductor: $$\operatorname{cond}(\chi)$$ = $$3$$ Character field: $$\Q$$ Newforms: $$0$$ Sturm bound: $$4$$ Trace bound: $$0$$

Dimensions

The following table gives the dimensions of various subspaces of $$M_{1}(39, [\chi])$$.

Total New Old
Modular forms 2 0 2
Cusp forms 0 0 0
Eisenstein series 2 0 2

The following table gives the dimensions of subspaces with specified projective image type.

$$D_n$$ $$A_4$$ $$S_4$$ $$A_5$$
Dimension 0 0 0 0