Properties

 Label 4730.2.ci Level 4730 Weight 2 Character orbit ci Rep. character $$\chi_{4730}(529,\cdot)$$ Character field $$\Q(\zeta_{42})$$ Dimension 2640 Sturm bound 1584

Related objects

Defining parameters

 Level: $$N$$ = $$4730 = 2 \cdot 5 \cdot 11 \cdot 43$$ Weight: $$k$$ = $$2$$ Character orbit: $$[\chi]$$ = 4730.ci (of order $$42$$ and degree $$12$$) Character conductor: $$\operatorname{cond}(\chi)$$ = $$215$$ Character field: $$\Q(\zeta_{42})$$ Sturm bound: $$1584$$

Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(4730, [\chi])$$.

Total New Old
Modular forms 9600 2640 6960
Cusp forms 9408 2640 6768
Eisenstein series 192 0 192

Decomposition of $$S_{2}^{\mathrm{new}}(4730, [\chi])$$ into newform subspaces

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

Decomposition of $$S_{2}^{\mathrm{old}}(4730, [\chi])$$ into lower level spaces

$$S_{2}^{\mathrm{old}}(4730, [\chi]) \cong$$ $$S_{2}^{\mathrm{new}}(215, [\chi])$$$$^{\oplus 4}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(430, [\chi])$$$$^{\oplus 2}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(2365, [\chi])$$$$^{\oplus 2}$$