Properties

 Label 800.1.m Level 800 Weight 1 Character orbit m Rep. character $$\chi_{800}(593,\cdot)$$ Character field $$\Q(\zeta_{4})$$ Dimension 0 Newforms 0 Sturm bound 120 Trace bound 0

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Defining parameters

 Level: $$N$$ = $$800 = 2^{5} \cdot 5^{2}$$ Weight: $$k$$ = $$1$$ Character orbit: $$[\chi]$$ = 800.m (of order $$4$$ and degree $$2$$) Character conductor: $$\operatorname{cond}(\chi)$$ = $$40$$ Character field: $$\Q(i)$$ Newforms: $$0$$ Sturm bound: $$120$$ Trace bound: $$0$$

Dimensions

The following table gives the dimensions of various subspaces of $$M_{1}(800, [\chi])$$.

Total New Old
Modular forms 48 4 44
Cusp forms 0 0 0
Eisenstein series 48 4 44

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