# Properties

 Label 3024.2.gz Level 3024 Weight 2 Character orbit gz Rep. character $$\chi_{3024}(139,\cdot)$$ Character field $$\Q(\zeta_{36})$$ Dimension 6864 Sturm bound 1152

# Related objects

## Defining parameters

 Level: $$N$$ = $$3024 = 2^{4} \cdot 3^{3} \cdot 7$$ Weight: $$k$$ = $$2$$ Character orbit: $$[\chi]$$ = 3024.gz (of order $$36$$ and degree $$12$$) Character conductor: $$\operatorname{cond}(\chi)$$ = $$3024$$ Character field: $$\Q(\zeta_{36})$$ Sturm bound: $$1152$$

## Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(3024, [\chi])$$.

Total New Old
Modular forms 6960 6960 0
Cusp forms 6864 6864 0
Eisenstein series 96 96 0

## Trace form

 $$6864q - 24q^{2} - 24q^{4} - 24q^{7} - 12q^{8} + O(q^{10})$$ $$6864q - 24q^{2} - 24q^{4} - 24q^{7} - 12q^{8} - 24q^{11} - 12q^{14} - 24q^{16} - 24q^{18} - 12q^{21} - 24q^{22} - 48q^{23} - 24q^{28} - 24q^{29} - 24q^{30} - 24q^{32} - 6q^{35} - 24q^{36} - 12q^{37} - 48q^{39} - 72q^{42} - 24q^{43} - 12q^{44} - 12q^{46} - 24q^{49} - 24q^{50} - 60q^{51} - 48q^{53} + 30q^{56} - 24q^{58} + 36q^{60} - 12q^{64} - 48q^{65} - 24q^{67} - 54q^{70} - 24q^{71} - 204q^{72} + 60q^{74} - 12q^{77} - 24q^{78} - 48q^{81} - 60q^{84} - 84q^{85} - 84q^{86} - 24q^{88} - 6q^{91} - 24q^{92} - 24q^{93} - 6q^{98} - 24q^{99} + O(q^{100})$$

## Decomposition of $$S_{2}^{\mathrm{new}}(3024, [\chi])$$ into newform subspaces

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

## Hecke Characteristic Polynomials

There are no characteristic polynomials of Hecke operators in the database