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Level	Weight	Analytic conductor	\(Nk^2\)	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Coefficient field

Self-twists	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank

Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	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	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	7	23	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
966.4.a.b	$966$	$4$	966.a	1.a	$1$	$1$	$1$	$56.996$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(-3\)	\(-9\)	\(7\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}-9q^{5}-6q^{6}+\cdots\)
966.4.a.f	$966$	$4$	966.a	1.a	$1$	$3$	$3$	$56.996$	3.3.12197.1	None	✓	$1$	$0$	\(6\)	\(-9\)	\(9\)	\(21\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}+(4-3\beta _{1})q^{5}+\cdots\)

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