Properties

 Label 4033.2.cs Level 4033 Weight 2 Character orbit cs Rep. character $$\chi_{4033}(136,\cdot)$$ Character field $$\Q(\zeta_{18})$$ Dimension 2088 Sturm bound 696

Related objects

Defining parameters

 Level: $$N$$ = $$4033 = 37 \cdot 109$$ Weight: $$k$$ = $$2$$ Character orbit: $$[\chi]$$ = 4033.cs (of order $$18$$ and degree $$6$$) Character conductor: $$\operatorname{cond}(\chi)$$ = $$4033$$ Character field: $$\Q(\zeta_{18})$$ Sturm bound: $$696$$

Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(4033, [\chi])$$.

Total New Old
Modular forms 2112 2112 0
Cusp forms 2088 2088 0
Eisenstein series 24 24 0

Decomposition of $$S_{2}^{\mathrm{new}}(4033, [\chi])$$ into irreducible Hecke orbits

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