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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
165.6.a.e	$165$	$6$	165.a	1.a	$1$	$3$	$3$	$26.463$	3.3.307532.1	None	✓	✓	✓	✓	165.6.a.e	$1$	$0$	\(7\)	\(-27\)	\(-75\)	\(92\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(2+\beta _{1})q^{2}-9q^{3}+(24+2\beta _{1}+\beta _{2})q^{4}+\cdots\)

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