# Properties

 Label 4019.2 Level 4019 Weight 2 Dimension 671007 Nonzero newspaces 6 Sturm bound 2.69206e+06

# Learn more about

## Defining parameters

 Level: $$N$$ = $$4019$$ Weight: $$k$$ = $$2$$ Nonzero newspaces: $$6$$ Sturm bound: $$2692060$$

## Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(\Gamma_1(4019))$$.

Total New Old
Modular forms 675024 675024 0
Cusp forms 671007 671007 0
Eisenstein series 4017 4017 0

## Decomposition of $$S_{2}^{\mathrm{new}}(\Gamma_1(4019))$$

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
4019.2.a $$\chi_{4019}(1, \cdot)$$ 4019.2.a.a 149 1
4019.2.a.b 186
4019.2.c $$\chi_{4019}(273, \cdot)$$ n/a 2004 6
4019.2.e $$\chi_{4019}(48, \cdot)$$ n/a 13360 40
4019.2.f $$\chi_{4019}(3, \cdot)$$ n/a 14028 42
4019.2.i $$\chi_{4019}(20, \cdot)$$ n/a 80160 240
4019.2.k $$\chi_{4019}(4, \cdot)$$ n/a 561120 1680

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