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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3787.1.et.a	$3787$	$1$	3787.et	3787.dt	$270$	$72$	$1$	$1.890$	\(\Q(\zeta_{135})\)	$D_{270}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(18\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{270}^{108}-\zeta_{270}^{109})q^{2}+(-\zeta_{270}^{81}+\cdots)q^{4}+\cdots\)