Properties

 Label 4033.2.u Level 4033 Weight 2 Character orbit u Rep. character $$\chi_{4033}(2008,\cdot)$$ Character field $$\Q(\zeta_{6})$$ Dimension 692 Sturm bound 696

Related objects

Defining parameters

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

Dimensions

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

Total New Old
Modular forms 700 700 0
Cusp forms 692 692 0
Eisenstein series 8 8 0

Decomposition of $$S_{2}^{\mathrm{new}}(4033, [\chi])$$ into newform subspaces

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

Hecke Characteristic Polynomials

There are no characteristic polynomials of Hecke operators in the database