# Properties

 Label 336.2.i Level 336 Weight 2 Character orbit i Rep. character $$\chi_{336}(41,\cdot)$$ Character field $$\Q$$ Dimension 0 Newforms 0 Sturm bound 128 Trace bound 0

# Related objects

## Defining parameters

 Level: $$N$$ = $$336 = 2^{4} \cdot 3 \cdot 7$$ Weight: $$k$$ = $$2$$ Character orbit: $$[\chi]$$ = 336.i (of order $$2$$ and degree $$1$$) Character conductor: $$\operatorname{cond}(\chi)$$ = $$168$$ Character field: $$\Q$$ Newforms: $$0$$ Sturm bound: $$128$$ Trace bound: $$0$$

## Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(336, [\chi])$$.

Total New Old
Modular forms 72 0 72
Cusp forms 56 0 56
Eisenstein series 16 0 16

## Decomposition of $$S_{2}^{\mathrm{old}}(336, [\chi])$$ into lower level spaces

$$S_{2}^{\mathrm{old}}(336, [\chi]) \cong$$ $$S_{2}^{\mathrm{new}}(168, [\chi])$$$$^{\oplus 2}$$