Properties

 Label 400.1.bf Level 400 Weight 1 Character orbit bf Rep. character $$\chi_{400}(19,\cdot)$$ Character field $$\Q(\zeta_{20})$$ Dimension 0 Newform subspaces 0 Sturm bound 60 Trace bound 0

Related objects

Defining parameters

 Level: $$N$$ = $$400 = 2^{4} \cdot 5^{2}$$ Weight: $$k$$ = $$1$$ Character orbit: $$[\chi]$$ = 400.bf (of order $$20$$ and degree $$8$$) Character conductor: $$\operatorname{cond}(\chi)$$ = $$400$$ Character field: $$\Q(\zeta_{20})$$ Newform subspaces: $$0$$ Sturm bound: $$60$$ Trace bound: $$0$$

Dimensions

The following table gives the dimensions of various subspaces of $$M_{1}(400, [\chi])$$.

Total New Old
Modular forms 16 16 0
Cusp forms 0 0 0
Eisenstein series 16 16 0

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