Properties

 Label 6017.2.ba Level 6017 Weight 2 Character orbit ba Rep. character $$\chi_{6017}(199,\cdot)$$ Character field $$\Q(\zeta_{39})$$ Dimension 10944 Sturm bound 1096

Related objects

Defining parameters

 Level: $$N$$ $$=$$ $$6017 = 11 \cdot 547$$ Weight: $$k$$ $$=$$ $$2$$ Character orbit: $$[\chi]$$ $$=$$ 6017.ba (of order $$39$$ and degree $$24$$) Character conductor: $$\operatorname{cond}(\chi)$$ $$=$$ $$547$$ Character field: $$\Q(\zeta_{39})$$ Sturm bound: $$1096$$

Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(6017, [\chi])$$.

Total New Old
Modular forms 13200 10944 2256
Cusp forms 13104 10944 2160
Eisenstein series 96 0 96

Decomposition of $$S_{2}^{\mathrm{new}}(6017, [\chi])$$ into newform subspaces

The newforms in this space have not yet been added to the LMFDB.

Decomposition of $$S_{2}^{\mathrm{old}}(6017, [\chi])$$ into lower level spaces

$$S_{2}^{\mathrm{old}}(6017, [\chi]) \cong$$ $$S_{2}^{\mathrm{new}}(547, [\chi])$$$$^{\oplus 2}$$

Hecke characteristic polynomials

There are no characteristic polynomials of Hecke operators in the database