# Properties

 Label 200.1.x Level 200 Weight 1 Character orbit x Rep. character $$\chi_{200}(13,\cdot)$$ Character field $$\Q(\zeta_{20})$$ Dimension 0 Newform subspaces 0 Sturm bound 30 Trace bound 0

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## Defining parameters

 Level: $$N$$ = $$200 = 2^{3} \cdot 5^{2}$$ Weight: $$k$$ = $$1$$ Character orbit: $$[\chi]$$ = 200.x (of order $$20$$ and degree $$8$$) Character conductor: $$\operatorname{cond}(\chi)$$ = $$200$$ Character field: $$\Q(\zeta_{20})$$ Newform subspaces: $$0$$ Sturm bound: $$30$$ Trace bound: $$0$$

## Dimensions

The following table gives the dimensions of various subspaces of $$M_{1}(200, [\chi])$$.

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