Properties

 Label 16.1 Level 16 Weight 1 Dimension 0 Nonzero newspaces 0 Newform subspaces 0 Sturm bound 16

Defining parameters

 Level: $$N$$ = $$16 = 2^{4}$$ Weight: $$k$$ = $$1$$ Nonzero newspaces: $$0$$ Newform subspaces: $$0$$ Sturm bound: $$16$$

Dimensions

The following table gives the dimensions of various subspaces of $$M_{1}(\Gamma_1(16))$$.

Total New Old
Modular forms 7 2 5
Cusp forms 0 0 0
Eisenstein series 7 2 5

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