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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
3.16.a.a	$3$	$16$	3.a	1.a	$1$	$1$	$1$	$4.281$	\(\Q\)	None	✓	$1$	$0$	\(-234\)	\(-2187\)	\(280710\)	\(-1373344\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-234q^{2}-3^{7}q^{3}+21988q^{4}+280710q^{5}+\cdots\)
3.16.a.b	$3$	$16$	3.a	1.a	$1$	$1$	$1$	$4.281$	\(\Q\)	None	✓	$1$	$1$	\(-72\)	\(2187\)	\(-221490\)	\(-2149000\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-72q^{2}+3^{7}q^{3}-27584q^{4}-221490q^{5}+\cdots\)

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