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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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	2011
8044.2.a.a	$8044$	$2$	8044.a	1.a	$1$	$80$	$80$	$64.232$		None	✓	$1$	$1$	\(0\)	\(-13\)	\(-2\)	\(-12\)		$-$	$-$	$+$		$\mathrm{SU}(2)$
8044.2.a.b	$8044$	$2$	8044.a	1.a	$1$	$87$	$87$	$64.232$		None	✓	$1$	$0$	\(0\)	\(13\)	\(-2\)	\(8\)		$-$	$+$	$-$		$\mathrm{SU}(2)$