Properties

 Label 4032.2.gj Level 4032 Weight 2 Character orbit gj Rep. character $$\chi_{4032}(391,\cdot)$$ Character field $$\Q(\zeta_{24})$$ Dimension 0 Newform subspaces 0 Sturm bound 1536 Trace bound 0

Related objects

Defining parameters

 Level: $$N$$ $$=$$ $$4032 = 2^{6} \cdot 3^{2} \cdot 7$$ Weight: $$k$$ $$=$$ $$2$$ Character orbit: $$[\chi]$$ $$=$$ 4032.gj (of order $$24$$ and degree $$8$$) Character conductor: $$\operatorname{cond}(\chi)$$ $$=$$ $$2016$$ Character field: $$\Q(\zeta_{24})$$ Newform subspaces: $$0$$ Sturm bound: $$1536$$ Trace bound: $$0$$

Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(4032, [\chi])$$.

Total New Old
Modular forms 6208 0 6208
Cusp forms 6080 0 6080
Eisenstein series 128 0 128

Decomposition of $$S_{2}^{\mathrm{old}}(4032, [\chi])$$ into lower level spaces

$$S_{2}^{\mathrm{old}}(4032, [\chi]) \cong$$ $$S_{2}^{\mathrm{new}}(2016, [\chi])$$$$^{\oplus 2}$$

Hecke characteristic polynomials

There are no characteristic polynomials of Hecke operators in the database