Properties

 Label 9450.2.gl Level 9450 Weight 2 Character orbit gl Rep. character $$\chi_{9450}(169,\cdot)$$ Character field $$\Q(\zeta_{90})$$ Dimension 12960 Sturm bound 4320

Related objects

Defining parameters

 Level: $$N$$ = $$9450 = 2 \cdot 3^{3} \cdot 5^{2} \cdot 7$$ Weight: $$k$$ = $$2$$ Character orbit: $$[\chi]$$ = 9450.gl (of order $$90$$ and degree $$24$$) Character conductor: $$\operatorname{cond}(\chi)$$ = $$675$$ Character field: $$\Q(\zeta_{90})$$ Sturm bound: $$4320$$

Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(9450, [\chi])$$.

Total New Old
Modular forms 52032 12960 39072
Cusp forms 51648 12960 38688
Eisenstein series 384 0 384

Decomposition of $$S_{2}^{\mathrm{new}}(9450, [\chi])$$ into newform subspaces

The newforms in this space have not yet been added to the LMFDB.

Decomposition of $$S_{2}^{\mathrm{old}}(9450, [\chi])$$ into lower level spaces

$$S_{2}^{\mathrm{old}}(9450, [\chi]) \cong$$ $$S_{2}^{\mathrm{new}}(675, [\chi])$$$$^{\oplus 4}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(1350, [\chi])$$$$^{\oplus 2}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(4725, [\chi])$$$$^{\oplus 2}$$