# Properties

 Label 6047.2 Level 6047 Weight 2 Dimension 1.52057e+06 Nonzero newspaces 2 Sturm bound 6.09437e+06

## Defining parameters

 Level: $$N$$ = $$6047$$ Weight: $$k$$ = $$2$$ Nonzero newspaces: $$2$$ Sturm bound: $$6094368$$

## Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(\Gamma_1(6047))$$.

Total New Old
Modular forms 1526615 1526615 0
Cusp forms 1520570 1520570 0
Eisenstein series 6045 6045 0

## Decomposition of $$S_{2}^{\mathrm{new}}(\Gamma_1(6047))$$

We only show spaces with even parity, since no modular forms exist when this condition is not satisfied. Within each space $$S_k^{\mathrm{new}}(N, \chi)$$ we list the newforms together with their dimension.

Label $$\chi$$ Newforms Dimension $$\chi$$ degree
6047.2.a $$\chi_{6047}(1, \cdot)$$ 6047.2.a.a 217 1
6047.2.a.b 287
6047.2.c $$\chi_{6047}(2, \cdot)$$ n/a 1520066 3022

"n/a" means that newforms for that character have not been added to the database yet

## Hecke Characteristic Polynomials

There are no characteristic polynomials of Hecke operators in the database