# Properties

 Label 184.2.h Level $184$ Weight $2$ Character orbit 184.h Rep. character $\chi_{184}(91,\cdot)$ Character field $\Q$ Dimension $22$ Newform subspaces $3$ Sturm bound $48$ Trace bound $1$

# Related objects

## Defining parameters

 Level: $$N$$ $$=$$ $$184 = 2^{3} \cdot 23$$ Weight: $$k$$ $$=$$ $$2$$ Character orbit: $$[\chi]$$ $$=$$ 184.h (of order $$2$$ and degree $$1$$) Character conductor: $$\operatorname{cond}(\chi)$$ $$=$$ $$184$$ Character field: $$\Q$$ Newform subspaces: $$3$$ Sturm bound: $$48$$ Trace bound: $$1$$ Distinguishing $$T_p$$: $$3$$

## Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(184, [\chi])$$.

Total New Old
Modular forms 26 26 0
Cusp forms 22 22 0
Eisenstein series 4 4 0

## Trace form

 $$22q - 4q^{3} - 8q^{4} + q^{6} - 3q^{8} + 14q^{9} + O(q^{10})$$ $$22q - 4q^{3} - 8q^{4} + q^{6} - 3q^{8} + 14q^{9} - 5q^{12} - 16q^{16} - 5q^{18} - 4q^{24} + 10q^{25} - q^{26} - 4q^{27} - 24q^{35} - 25q^{36} - 4q^{41} + 32q^{46} + q^{48} + 6q^{49} + 52q^{50} - 3q^{52} - 25q^{54} + q^{58} - 16q^{59} + 45q^{62} - 29q^{64} - 12q^{70} - 21q^{72} - 4q^{73} - 36q^{75} + q^{78} - 26q^{81} + 41q^{82} + 52q^{92} - q^{94} + 97q^{96} - 44q^{98} + O(q^{100})$$

## Decomposition of $$S_{2}^{\mathrm{new}}(184, [\chi])$$ into newform subspaces

Label Dim. $$A$$ Field CM Traces $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
184.2.h.a $$4$$ $$1.469$$ $$\Q(i, \sqrt{14})$$ None $$4$$ $$-8$$ $$0$$ $$0$$ $$q+(1-\beta _{1})q^{2}-2q^{3}-2\beta _{1}q^{4}+\beta _{3}q^{5}+\cdots$$
184.2.h.b $$6$$ $$1.469$$ 6.0.8869743.1 $$\Q(\sqrt{-23})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(\beta _{2}-\beta _{5})q^{3}+\beta _{2}q^{4}+(-1+\cdots)q^{6}+\cdots$$
184.2.h.c $$12$$ $$1.469$$ 12.0.$$\cdots$$.2 None $$-4$$ $$4$$ $$0$$ $$0$$ $$q-\beta _{2}q^{2}+(1-\beta _{2}-\beta _{7})q^{3}+(-1+\beta _{2}+\cdots)q^{4}+\cdots$$