# Properties

 Label 4027.2 Level 4027 Weight 2 Dimension 673685 Nonzero newspaces 8 Sturm bound 2.70279e+06

## Defining parameters

 Level: $$N$$ = $$4027$$ Weight: $$k$$ = $$2$$ Nonzero newspaces: $$8$$ Sturm bound: $$2702788$$

## Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(\Gamma_1(4027))$$.

Total New Old
Modular forms 677710 677710 0
Cusp forms 673685 673685 0
Eisenstein series 4025 4025 0

## Decomposition of $$S_{2}^{\mathrm{new}}(\Gamma_1(4027))$$

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
4027.2.a $$\chi_{4027}(1, \cdot)$$ 4027.2.a.a 2 1
4027.2.a.b 159
4027.2.a.c 174
4027.2.c $$\chi_{4027}(1820, \cdot)$$ n/a 670 2
4027.2.e $$\chi_{4027}(14, \cdot)$$ n/a 3340 10
4027.2.g $$\chi_{4027}(130, \cdot)$$ n/a 6700 20
4027.2.h $$\chi_{4027}(13, \cdot)$$ n/a 20040 60
4027.2.k $$\chi_{4027}(41, \cdot)$$ n/a 40200 120
4027.2.m $$\chi_{4027}(4, \cdot)$$ n/a 200400 600
4027.2.o $$\chi_{4027}(6, \cdot)$$ n/a 402000 1200

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