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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
19.3.b.a	$19$	$3$	19.b	19.b	$2$	$1$	$1$	$0.518$	\(\Q\)	\(\Q(\sqrt{-19}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(-9\)	\(-5\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+4q^{4}-9q^{5}-5q^{7}+9q^{9}+3q^{11}+\cdots\)