Properties

 Label 1800.1.dm Level 1800 Weight 1 Character orbit dm Rep. character $$\chi_{1800}(83,\cdot)$$ Character field $$\Q(\zeta_{60})$$ Dimension 0 Newforms 0 Sturm bound 360 Trace bound 0

Related objects

Defining parameters

 Level: $$N$$ = $$1800 = 2^{3} \cdot 3^{2} \cdot 5^{2}$$ Weight: $$k$$ = $$1$$ Character orbit: $$[\chi]$$ = 1800.dm (of order $$60$$ and degree $$16$$) Character conductor: $$\operatorname{cond}(\chi)$$ = $$1800$$ Character field: $$\Q(\zeta_{60})$$ Newforms: $$0$$ Sturm bound: $$360$$ Trace bound: $$0$$

Dimensions

The following table gives the dimensions of various subspaces of $$M_{1}(1800, [\chi])$$.

Total New Old
Modular forms 64 64 0
Cusp forms 0 0 0
Eisenstein series 64 64 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