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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	3	67
4824.2.a.s	$4824$	$2$	4824.a	1.a	$1$	$5$	$5$	$38.520$	5.5.8212256.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{5}+\beta _{4}q^{7}-2q^{11}+(-\beta _{2}-\beta _{3}+\cdots)q^{13}+\cdots\)
4824.2.a.t	$4824$	$2$	4824.a	1.a	$1$	$5$	$5$	$38.520$	5.5.648101.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(7\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1}+\beta _{2}+\beta _{3})q^{5}+(2-\beta _{3}+\cdots)q^{7}+\cdots\)