Space of modular forms of level 184, weight 2, and Character 184.h

• 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: $1$

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

\( 22 q - 4 q^{3} - 8 q^{4} + q^{6} - 3 q^{8} + 14 q^{9} + O(q^{10}) \)

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

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
184.2.h.a	$184$	$2$	184.h	184.h	$2$	$4$	$4$	$1.469$	\(\Q(i, \sqrt{14})\)	None		$4$	$0$	\(4\)	\(-8\)	\(0\)	\(0\)	$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+(1-\beta _{1})q^{2}-2q^{3}-2\beta _{1}q^{4}+\beta _{3}q^{5}+\cdots\)
184.2.h.b	$184$	$2$	184.h	184.h	$2$	$6$	$6$	$1.469$	6.0.8869743.1	\(\Q(\sqrt{-23}) \)		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{1}q^{2}+(\beta _{2}-\beta _{5})q^{3}+\beta _{2}q^{4}+(-1+\cdots)q^{6}+\cdots\)
184.2.h.c	$184$	$2$	184.h	184.h	$2$	$12$	$12$	$1.469$	12.0.\(\cdots\).2	None		$4$	$0$	\(-4\)	\(4\)	\(0\)	\(0\)	$2^{6}\cdot 23$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{2}q^{2}+(1-\beta _{2}-\beta _{7})q^{3}+(-1+\beta _{2}+\cdots)q^{4}+\cdots\)