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Level	Weight	Analytic conductor	Analytic rank	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Is maximal/largest

Coefficient field	Self-twists	CM/RM discriminant	Inner twist count	Is self-dual

Coefficient ring index	Coefficient ring gens.	Is twist minimal	Projective image

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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					A-L signs		Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
162.4.a.b	$162$	$4$	162.a	1.a	$1$	$1$	$1$	$9.558$	\(\Q\)	None	✓	✓			162.4.a.b	$1$	$0$	\(-2\)	\(0\)	\(21\)	\(8\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+21q^{5}+8q^{7}-8q^{8}+\cdots\)
162.4.a.f	$162$	$4$	162.a	1.a	$1$	$2$	$2$	$9.558$	\(\Q(\sqrt{105}) \)	None	✓		✓		18.4.c.b	$1$	$0$	\(-4\)	\(0\)	\(-9\)	\(19\)		$+$	$+$	$+$	$3$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+(-5-\beta )q^{5}+(9-\beta )q^{7}+\cdots\)

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