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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
162.8.a.e	$162$	$8$	162.a	1.a	$1$	$3$	$3$	$50.606$	3.3.69765.1	None	✓				18.8.c.a	$1$	$1$	\(-24\)	\(0\)	\(54\)	\(-210\)		$+$	$-$	$-$	$2\cdot 3^{4}$	$\mathrm{SU}(2)$	\(q-8q^{2}+2^{6}q^{4}+(18+2\beta _{1}-3\beta _{2})q^{5}+\cdots\)
162.8.a.g	$162$	$8$	162.a	1.a	$1$	$4$	$4$	$50.606$	4.4.43103376.1	None	✓	✓	✓		162.8.a.g	$1$	$1$	\(-32\)	\(0\)	\(-528\)	\(560\)		$+$	$-$	$-$	$2^{4}\cdot 3^{8}$	$\mathrm{SU}(2)$	\(q-8q^{2}+2^{6}q^{4}+(-132+\beta _{1})q^{5}+\cdots\)

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