Properties

 Label 6018.2.bi Level 6018 Weight 2 Character orbit bi Rep. character $$\chi_{6018}(19,\cdot)$$ Character field $$\Q(\zeta_{232})$$ Dimension 20160 Sturm bound 2160

Related objects

Defining parameters

 Level: $$N$$ = $$6018 = 2 \cdot 3 \cdot 17 \cdot 59$$ Weight: $$k$$ = $$2$$ Character orbit: $$[\chi]$$ = 6018.bi (of order $$232$$ and degree $$112$$) Character conductor: $$\operatorname{cond}(\chi)$$ = $$1003$$ Character field: $$\Q(\zeta_{232})$$ Sturm bound: $$2160$$

Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(6018, [\chi])$$.

Total New Old
Modular forms 121856 20160 101696
Cusp forms 120064 20160 99904
Eisenstein series 1792 0 1792

Decomposition of $$S_{2}^{\mathrm{new}}(6018, [\chi])$$ into irreducible Hecke orbits

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

Decomposition of $$S_{2}^{\mathrm{old}}(6018, [\chi])$$ into lower level spaces

$$S_{2}^{\mathrm{old}}(6018, [\chi]) \cong$$ $$S_{2}^{\mathrm{new}}(1003, [\chi])$$$$^{\oplus 4}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(2006, [\chi])$$$$^{\oplus 2}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(3009, [\chi])$$$$^{\oplus 2}$$