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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1555.1.b.a	$1555$	$1$	1555.b	1555.b	$2$	$1$	$1$	$0.776$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-311}) \), \(\Q(\sqrt{-1555}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{4}-q^{5}+q^{9}+q^{16}-q^{20}+q^{25}+\cdots\)