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

• Label: 184.2.p
• Level: $184$
• Weight: $2$
• Character orbit: 184.p
• Rep. character: $\chi_{184}(13,\cdot)$
• Character field: $\Q(\zeta_{22})$
• Dimension: $220$
• Newform subspaces: $1$
• Sturm bound: $48$
• Trace bound: $0$

Defining parameters

Level:	\( N \)	\(=\)	\( 184 = 2^{3} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	184.p (of order \(22\) and degree \(10\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 184 \)
Character field:			\(\Q(\zeta_{22})\)
Newform subspaces:			\( 1 \)
Sturm bound:			\(48\)
Trace bound:			\(0\)

Dimensions

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

	Total	New	Old
Modular forms	260	260	0
Cusp forms	220	220	0
Eisenstein series	40	40	0

Trace form

220 * q - 11 * q^2 - 11 * q^4 - 14 * q^6 - 22 * q^7 - 14 * q^8 - 9 * q^10 - 12 * q^12 - 3 * q^14 - 22 * q^15 + 5 * q^16 - 18 * q^17 - 4 * q^18 - 27 * q^20 - 42 * q^22 - 16 * q^23 - 22 * q^24 - 4 * q^25 - 16 * q^26 - 17 * q^28 - 37 * q^30 - 34 * q^31 - 11 * q^32 - 30 * q^33 - 23 * q^34 + 37 * q^36 - 78 * q^38 - 18 * q^39 + 99 * q^40 - 18 * q^41 - 77 * q^42 + 48 * q^44 - 99 * q^46 - 40 * q^47 + 116 * q^48 - 28 * q^49 - 60 * q^50 + 98 * q^52 - 114 * q^54 - 38 * q^55 + 66 * q^56 - 30 * q^57 - 51 * q^58 - 45 * q^60 + 18 * q^62 + 18 * q^63 - 14 * q^64 - 38 * q^65 - 12 * q^66 + 10 * q^68 - 38 * q^70 - 26 * q^71 + 55 * q^72 - 18 * q^73 + 10 * q^74 + 72 * q^76 + 42 * q^78 - 22 * q^79 + 66 * q^80 - 52 * q^81 + 64 * q^82 + 125 * q^84 + 121 * q^86 - 42 * q^87 + 17 * q^88 - 2 * q^89 + 204 * q^90 + 88 * q^92 + 105 * q^94 - 78 * q^95 + 157 * q^96 - 18 * q^97 + 109 * q^98

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	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
184.2.p.a	$184$	$2$	184.p	184.p	$22$	$220$	$22$	$1.469$		None		✓	✓	✓	184.2.p.a	$4$	$0$	\(-11\)	\(0\)	\(0\)	\(-22\)		$\mathrm{SU}(2)[C_{22}]$