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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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Results (3 matches)

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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	19	47	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
8037.2.a.p	$8037$	$2$	8037.a	1.a	$1$	$23$	$23$	$64.176$		None	✓	$1$	$1$	\(-5\)	\(0\)	\(-12\)	\(-2\)		$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
8037.2.a.q	$8037$	$2$	8037.a	1.a	$1$	$23$	$23$	$64.176$		None	✓	$1$	$0$	\(-2\)	\(0\)	\(-9\)	\(5\)		$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
8037.2.a.r	$8037$	$2$	8037.a	1.a	$1$	$23$	$23$	$64.176$		None	✓	$1$	$0$	\(-1\)	\(0\)	\(-1\)	\(15\)		$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$

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