Properties

 Label 3600.1.ej Level 3600 Weight 1 Character orbit ej Rep. character $$\chi_{3600}(73,\cdot)$$ Character field $$\Q(\zeta_{20})$$ Dimension 0 Newforms 0 Sturm bound 720 Trace bound 0

Related objects

Defining parameters

 Level: $$N$$ = $$3600 = 2^{4} \cdot 3^{2} \cdot 5^{2}$$ Weight: $$k$$ = $$1$$ Character orbit: $$[\chi]$$ = 3600.ej (of order $$20$$ and degree $$8$$) Character conductor: $$\operatorname{cond}(\chi)$$ = $$200$$ Character field: $$\Q(\zeta_{20})$$ Newforms: $$0$$ Sturm bound: $$720$$ Trace bound: $$0$$

Dimensions

The following table gives the dimensions of various subspaces of $$M_{1}(3600, [\chi])$$.

Total New Old
Modular forms 160 0 160
Cusp forms 32 0 32
Eisenstein series 128 0 128

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

Decomposition of $$S_{1}^{\mathrm{old}}(3600, [\chi])$$ into lower level spaces

$$S_{1}^{\mathrm{old}}(3600, [\chi]) \cong$$ $$S_{1}^{\mathrm{new}}(1800, [\chi])$$$$^{\oplus 2}$$