Properties

 Label 8027.2.i Level 8027 Weight 2 Character orbit i Rep. character $$\chi_{8027}(576,\cdot)$$ Character field $$\Q(\zeta_{6})$$ Dimension 1280 Sturm bound 1400

Related objects

Defining parameters

 Level: $$N$$ = $$8027 = 23 \cdot 349$$ Weight: $$k$$ = $$2$$ Character orbit: $$[\chi]$$ = 8027.i (of order $$6$$ and degree $$2$$) Character conductor: $$\operatorname{cond}(\chi)$$ = $$349$$ Character field: $$\Q(\zeta_{6})$$ Sturm bound: $$1400$$

Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(8027, [\chi])$$.

Total New Old
Modular forms 1404 1280 124
Cusp forms 1396 1280 116
Eisenstein series 8 0 8

Decomposition of $$S_{2}^{\mathrm{new}}(8027, [\chi])$$ into irreducible Hecke orbits

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

Decomposition of $$S_{2}^{\mathrm{old}}(8027, [\chi])$$ into lower level spaces

$$S_{2}^{\mathrm{old}}(8027, [\chi]) \cong$$ $$S_{2}^{\mathrm{new}}(349, [\chi])$$$$^{\oplus 2}$$