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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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		6037
6037.2.a.a	$6037$	$2$	6037.a	1.a	$1$	$243$	$243$	$48.206$		None	✓	$1$	$1$	\(-47\)	\(-31\)	\(-40\)	\(-42\)		$+$	$+$		$\mathrm{SU}(2)$
6037.2.a.b	$6037$	$2$	6037.a	1.a	$1$	$259$	$259$	$48.206$		None	✓	$1$	$0$	\(47\)	\(29\)	\(38\)	\(42\)		$-$	$-$		$\mathrm{SU}(2)$