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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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3
3.12.a.a	$3$	$12$	3.a	1.a	$1$	$1$	$1$	$2.305$	\(\Q\)	None	✓	$1$	$0$	\(78\)	\(-243\)	\(-5370\)	\(-27760\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+78q^{2}-3^{5}q^{3}+4036q^{4}-5370q^{5}+\cdots\)