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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2545.1.i.a	$2545$	$1$	2545.i	2545.i	$4$	$2$	$1$	$1.270$	\(\Q(\sqrt{-1}) \)	$D_{4}$	None	\(\Q(\sqrt{509}) \)		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{4}+iq^{5}+iq^{9}-q^{11}-q^{16}+\cdots\)