Properties

 Label 6048.2.ip Level 6048 Weight 2 Character orbit ip Rep. character $$\chi_{6048}(439,\cdot)$$ Character field $$\Q(\zeta_{36})$$ Dimension 0 Newform subspaces 0 Sturm bound 2304 Trace bound 0

Related objects

Defining parameters

 Level: $$N$$ = $$6048 = 2^{5} \cdot 3^{3} \cdot 7$$ Weight: $$k$$ = $$2$$ Character orbit: $$[\chi]$$ = 6048.ip (of order $$36$$ and degree $$12$$) Character conductor: $$\operatorname{cond}(\chi)$$ = $$3024$$ Character field: $$\Q(\zeta_{36})$$ Newform subspaces: $$0$$ Sturm bound: $$2304$$ Trace bound: $$0$$

Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(6048, [\chi])$$.

Total New Old
Modular forms 13920 0 13920
Cusp forms 13728 0 13728
Eisenstein series 192 0 192

Decomposition of $$S_{2}^{\mathrm{old}}(6048, [\chi])$$ into lower level spaces

$$S_{2}^{\mathrm{old}}(6048, [\chi]) \cong$$ $$S_{2}^{\mathrm{new}}(3024, [\chi])$$$$^{\oplus 2}$$

Hecke Characteristic Polynomials

There are no characteristic polynomials of Hecke operators in the database