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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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
11.11.b.a	$11$	$11$	11.b	11.b	$2$	$1$	$1$	$6.989$	\(\Q\)	\(\Q(\sqrt{-11}) \)	✓	$2$	$0$	\(0\)	\(475\)	\(-3001\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+475q^{3}+2^{10}q^{4}-3001q^{5}+166576q^{9}+\cdots\)