Properties

 Label 6027.2.dt Level 6027 Weight 2 Character orbit dt Rep. character $$\chi_{6027}(19,\cdot)$$ Character field $$\Q(\zeta_{120})$$ Dimension 8960 Sturm bound 1568

Related objects

Defining parameters

 Level: $$N$$ = $$6027 = 3 \cdot 7^{2} \cdot 41$$ Weight: $$k$$ = $$2$$ Character orbit: $$[\chi]$$ = 6027.dt (of order $$120$$ and degree $$32$$) Character conductor: $$\operatorname{cond}(\chi)$$ = $$287$$ Character field: $$\Q(\zeta_{120})$$ Sturm bound: $$1568$$

Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(6027, [\chi])$$.

Total New Old
Modular forms 25600 8960 16640
Cusp forms 24576 8960 15616
Eisenstein series 1024 0 1024

Decomposition of $$S_{2}^{\mathrm{new}}(6027, [\chi])$$ into irreducible Hecke orbits

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

Decomposition of $$S_{2}^{\mathrm{old}}(6027, [\chi])$$ into lower level spaces

$$S_{2}^{\mathrm{old}}(6027, [\chi]) \cong$$ $$S_{2}^{\mathrm{new}}(287, [\chi])$$$$^{\oplus 4}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(861, [\chi])$$$$^{\oplus 2}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(2009, [\chi])$$$$^{\oplus 2}$$