# Properties

 Label 19.1 Level 19 Weight 1 Dimension 0 Nonzero newspaces 0 Newform subspaces 0 Sturm bound 30

## Defining parameters

 Level: $$N$$ = $$19$$ Weight: $$k$$ = $$1$$ Nonzero newspaces: $$0$$ Newform subspaces: $$0$$ Sturm bound: $$30$$

## Dimensions

The following table gives the dimensions of various subspaces of $$M_{1}(\Gamma_1(19))$$.

Total New Old
Modular forms 9 9 0
Cusp forms 0 0 0
Eisenstein series 9 9 0

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

## Hecke characteristic polynomials

There are no characteristic polynomials of Hecke operators in the database