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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
16.12.a.b	$16$	$12$	16.a	1.a	$1$	$1$	$1$	$12.293$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(36\)	\(-3490\)	\(55464\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+6^{2}q^{3}-3490q^{5}+55464q^{7}-175851q^{9}+\cdots\)
16.12.a.d	$16$	$12$	16.a	1.a	$1$	$2$	$2$	$12.293$	\(\Q(\sqrt{109}) \)	None	✓	$1$	$0$	\(0\)	\(-56\)	\(7868\)	\(-91056\)		$+$	$+$	$2^{7}$	$\mathrm{SU}(2)$	\(q+(-28-\beta )q^{3}+(3934-12\beta )q^{5}+\cdots\)

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