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Level	Weight	Analytic conductor	Analytic rank	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Is maximal/largest

Coefficient field	Self-twists	CM/RM discriminant	Inner twist count	Is self-dual

Coefficient ring index	Coefficient ring gens.	Is twist minimal	Projective image

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	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	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
36.8.a.a	$36$	$8$	36.a	1.a	$1$	$1$	$1$	$11.246$	\(\Q\)	None	✓				12.8.a.b	$1$	$0$	\(0\)	\(0\)	\(-270\)	\(1112\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-270q^{5}+1112q^{7}+5724q^{11}+\cdots\)
36.8.a.c	$36$	$8$	36.a	1.a	$1$	$1$	$1$	$11.246$	\(\Q\)	None	✓				12.8.a.a	$1$	$0$	\(0\)	\(0\)	\(378\)	\(-832\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+378q^{5}-832q^{7}+2484q^{11}+14870q^{13}+\cdots\)

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