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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2708.1.p.a	$2708$	$1$	2708.p	2708.p	$338$	$156$	$1$	$1.351$	\(\Q(\zeta_{338})\)	$D_{169}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{338}^{129}q^{2}-\zeta_{338}^{89}q^{4}+(\zeta_{338}^{8}-\zeta_{338}^{141}+\cdots)q^{5}+\cdots\)