Properties

 Label 6043.2 Level 6043 Weight 2 Dimension 1.51856e+06 Nonzero newspaces 8 Sturm bound 6.08631e+06

Defining parameters

 Level: $$N$$ = $$6043$$ Weight: $$k$$ = $$2$$ Nonzero newspaces: $$8$$ Sturm bound: $$6086308$$

Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(\Gamma_1(6043))$$.

Total New Old
Modular forms 1524598 1524598 0
Cusp forms 1518557 1518557 0
Eisenstein series 6041 6041 0

Decomposition of $$S_{2}^{\mathrm{new}}(\Gamma_1(6043))$$

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
6043.2.a $$\chi_{6043}(1, \cdot)$$ 6043.2.a.a 1 1
6043.2.a.b 243
6043.2.a.c 259
6043.2.c $$\chi_{6043}(1715, \cdot)$$ n/a 1006 2
6043.2.e $$\chi_{6043}(694, \cdot)$$ n/a 9036 18
6043.2.g $$\chi_{6043}(64, \cdot)$$ n/a 26104 52
6043.2.h $$\chi_{6043}(91, \cdot)$$ n/a 18108 36
6043.2.k $$\chi_{6043}(4, \cdot)$$ n/a 52312 104
6043.2.m $$\chi_{6043}(9, \cdot)$$ n/a 469872 936
6043.2.o $$\chi_{6043}(6, \cdot)$$ n/a 941616 1872

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