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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
9.12.a.a	$9$	$12$	9.a	1.a	$1$	$1$	$1$	$6.915$	\(\Q\)	None	✓	$1$	$1$	\(-78\)	\(0\)	\(5370\)	\(-27760\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-78q^{2}+4036q^{4}+5370q^{5}-27760q^{7}+\cdots\)
9.12.a.b	$9$	$12$	9.a	1.a	$1$	$1$	$1$	$6.915$	\(\Q\)	None	✓	$1$	$1$	\(24\)	\(0\)	\(-4830\)	\(-16744\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+24q^{2}-1472q^{4}-4830q^{5}-16744q^{7}+\cdots\)

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