# Properties

 Label 18.2.a Level 18 Weight 2 Character orbit a Rep. character $$\chi_{18}(1,\cdot)$$ Character field $$\Q$$ Dimension 0 Newform subspaces 0 Sturm bound 6 Trace bound 0

# Related objects

## Defining parameters

 Level: $$N$$ = $$18 = 2 \cdot 3^{2}$$ Weight: $$k$$ = $$2$$ Character orbit: $$[\chi]$$ = 18.a (trivial) Character field: $$\Q$$ Newform subspaces: $$0$$ Sturm bound: $$6$$ Trace bound: $$0$$

## Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(\Gamma_0(18))$$.

Total New Old
Modular forms 7 0 7
Cusp forms 0 0 0
Eisenstein series 7 0 7

## Hecke Characteristic Polynomials

There are no characteristic polynomials of Hecke operators in the database