Properties

 Label 225.1.i Level 225 Weight 1 Character orbit i Rep. character $$\chi_{225}(74,\cdot)$$ Character field $$\Q(\zeta_{6})$$ Dimension 0 Newform subspaces 0 Sturm bound 30 Trace bound 0

Related objects

Defining parameters

 Level: $$N$$ $$=$$ $$225 = 3^{2} \cdot 5^{2}$$ Weight: $$k$$ $$=$$ $$1$$ Character orbit: $$[\chi]$$ $$=$$ 225.i (of order $$6$$ and degree $$2$$) Character conductor: $$\operatorname{cond}(\chi)$$ $$=$$ $$45$$ Character field: $$\Q(\zeta_{6})$$ Newform subspaces: $$0$$ Sturm bound: $$30$$ Trace bound: $$0$$

Dimensions

The following table gives the dimensions of various subspaces of $$M_{1}(225, [\chi])$$.

Total New Old
Modular forms 12 4 8
Cusp forms 0 0 0
Eisenstein series 12 4 8

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

Hecke characteristic polynomials

There are no characteristic polynomials of Hecke operators in the database