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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1051.1.b.a	$1051$	$1$	1051.b	1051.b	$2$	$2$	$2$	$0.525$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-1051}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{4}+(-1+\beta )q^{5}+q^{9}-\beta q^{11}+\cdots\)