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Results (displaying both matches)

 

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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		8039
8039.2.a.a	$8039$	$2$	8039.a	1.a	$1$	$279$	$279$	$64.192$		None	✓	$1$	$1$	\(-13\)	\(-12\)	\(-20\)	\(-57\)		$+$	$+$		$\mathrm{SU}(2)$
8039.2.a.b	$8039$	$2$	8039.a	1.a	$1$	$391$	$391$	$64.192$		None	✓	$1$	$0$	\(14\)	\(12\)	\(22\)	\(63\)		$-$	$-$		$\mathrm{SU}(2)$