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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	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
32.6.a.a	$32$	$6$	32.a	1.a	$1$	$1$	$1$	$5.132$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-8\)	\(14\)	\(-208\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-8q^{3}+14q^{5}-208q^{7}-179q^{9}+\cdots\)
32.6.a.b	$32$	$6$	32.a	1.a	$1$	$1$	$1$	$5.132$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(-82\)	\(0\)		$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-82q^{5}-3^{5}q^{9}-1194q^{13}+2242q^{17}+\cdots\)

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