# Properties

 Label 6023.2 Level 6023 Weight 2 Dimension 1.49356e+06 Nonzero newspaces 18 Sturm bound 6.02928e+06

## Defining parameters

 Level: $$N$$ = $$6023 = 19 \cdot 317$$ Weight: $$k$$ = $$2$$ Nonzero newspaces: $$18$$ Sturm bound: $$6029280$$

## Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(\Gamma_1(6023))$$.

Total New Old
Modular forms 1513008 1504271 8737
Cusp forms 1501633 1493559 8074
Eisenstein series 11375 10712 663

## Decomposition of $$S_{2}^{\mathrm{new}}(\Gamma_1(6023))$$

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
6023.2.a $$\chi_{6023}(1, \cdot)$$ 6023.2.a.a 98 1
6023.2.a.b 99
6023.2.a.c 138
6023.2.a.d 140
6023.2.b $$\chi_{6023}(1901, \cdot)$$ n/a 476 1
6023.2.e $$\chi_{6023}(3488, \cdot)$$ n/a 1056 2
6023.2.f $$\chi_{6023}(4958, \cdot)$$ n/a 1056 2
6023.2.j $$\chi_{6023}(1584, \cdot)$$ n/a 1056 2
6023.2.k $$\chi_{6023}(1586, \cdot)$$ n/a 3156 6
6023.2.m $$\chi_{6023}(1471, \cdot)$$ n/a 2112 4
6023.2.o $$\chi_{6023}(633, \cdot)$$ n/a 3168 6
6023.2.r $$\chi_{6023}(203, \cdot)$$ n/a 6336 12
6023.2.s $$\chi_{6023}(438, \cdot)$$ n/a 37284 78
6023.2.v $$\chi_{6023}(39, \cdot)$$ n/a 37128 78
6023.2.w $$\chi_{6023}(11, \cdot)$$ n/a 82368 156
6023.2.y $$\chi_{6023}(18, \cdot)$$ n/a 82368 156
6023.2.z $$\chi_{6023}(7, \cdot)$$ n/a 82368 156
6023.2.bc $$\chi_{6023}(16, \cdot)$$ n/a 247104 468
6023.2.bd $$\chi_{6023}(8, \cdot)$$ n/a 164736 312
6023.2.bg $$\chi_{6023}(4, \cdot)$$ n/a 247104 468
6023.2.bi $$\chi_{6023}(2, \cdot)$$ n/a 494208 936

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

## Decomposition of $$S_{2}^{\mathrm{old}}(\Gamma_1(6023))$$ into lower level spaces

$$S_{2}^{\mathrm{old}}(\Gamma_1(6023)) \cong$$ $$S_{2}^{\mathrm{new}}(\Gamma_1(19))$$$$^{\oplus 2}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(317))$$$$^{\oplus 2}$$