Properties

 Label 1224.1.be Level $1224$ Weight $1$ Character orbit 1224.be Rep. character $\chi_{1224}(103,\cdot)$ Character field $\Q(\zeta_{6})$ Dimension $0$ Newform subspaces $0$ Sturm bound $216$ Trace bound $0$

Related objects

Defining parameters

 Level: $$N$$ $$=$$ $$1224 = 2^{3} \cdot 3^{2} \cdot 17$$ Weight: $$k$$ $$=$$ $$1$$ Character orbit: $$[\chi]$$ $$=$$ 1224.be (of order $$6$$ and degree $$2$$) Character conductor: $$\operatorname{cond}(\chi)$$ $$=$$ $$36$$ Character field: $$\Q(\zeta_{6})$$ Newform subspaces: $$0$$ Sturm bound: $$216$$ Trace bound: $$0$$

Dimensions

The following table gives the dimensions of various subspaces of $$M_{1}(1224, [\chi])$$.

Total New Old
Modular forms 16 0 16
Cusp forms 0 0 0
Eisenstein series 16 0 16

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