Properties

 Label 8041.2.dy Level 8041 Weight 2 Character orbit dy Rep. character $$\chi_{8041}(214,\cdot)$$ Character field $$\Q(\zeta_{80})$$ Dimension 25216 Sturm bound 1584

Related objects

Defining parameters

 Level: $$N$$ = $$8041 = 11 \cdot 17 \cdot 43$$ Weight: $$k$$ = $$2$$ Character orbit: $$[\chi]$$ = 8041.dy (of order $$80$$ and degree $$32$$) Character conductor: $$\operatorname{cond}(\chi)$$ = $$8041$$ Character field: $$\Q(\zeta_{80})$$ Sturm bound: $$1584$$

Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(8041, [\chi])$$.

Total New Old
Modular forms 25472 25472 0
Cusp forms 25216 25216 0
Eisenstein series 256 256 0

Decomposition of $$S_{2}^{\mathrm{new}}(8041, [\chi])$$ into irreducible Hecke orbits

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