Properties

 Label 4000.1.bk Level 4000 Weight 1 Character orbit bk Rep. character $$\chi_{4000}(457,\cdot)$$ Character field $$\Q(\zeta_{20})$$ Dimension 0 Newforms 0 Sturm bound 600 Trace bound 0

Related objects

Defining parameters

 Level: $$N$$ = $$4000 = 2^{5} \cdot 5^{3}$$ Weight: $$k$$ = $$1$$ Character orbit: $$[\chi]$$ = 4000.bk (of order $$20$$ and degree $$8$$) Character conductor: $$\operatorname{cond}(\chi)$$ = $$400$$ Character field: $$\Q(\zeta_{20})$$ Newforms: $$0$$ Sturm bound: $$600$$ Trace bound: $$0$$

Dimensions

The following table gives the dimensions of various subspaces of $$M_{1}(4000, [\chi])$$.

Total New Old
Modular forms 160 0 160
Cusp forms 0 0 0
Eisenstein series 160 0 160

The following table gives the dimensions of subspaces with specified projective image type.

$$D_n$$ $$A_4$$ $$S_4$$ $$A_5$$
Dimension 0 0 0 0