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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces					A-L signs			Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	19	47
8037.2.a.a	$8037$	$2$	8037.a	1.a	$1$	$1$	$1$	$64.176$	\(\Q\)	None	✓				2679.2.a.d	$1$	$1$	\(-2\)	\(0\)	\(3\)	\(1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}+3q^{5}+q^{7}-6q^{10}+\cdots\)
8037.2.a.b	$8037$	$2$	8037.a	1.a	$1$	$1$	$1$	$64.176$	\(\Q\)	None	✓				2679.2.a.c	$1$	$2$	\(0\)	\(0\)	\(-1\)	\(-3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}-q^{5}-3q^{7}-3q^{11}-2q^{13}+\cdots\)
8037.2.a.c	$8037$	$2$	8037.a	1.a	$1$	$1$	$1$	$64.176$	\(\Q\)	None	✓				2679.2.a.b	$1$	$1$	\(2\)	\(0\)	\(1\)	\(1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}+q^{5}+q^{7}+2q^{10}+\cdots\)
8037.2.a.d	$8037$	$2$	8037.a	1.a	$1$	$1$	$1$	$64.176$	\(\Q\)	None	✓				2679.2.a.a	$1$	$0$	\(2\)	\(0\)	\(3\)	\(1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}+3q^{5}+q^{7}+6q^{10}+\cdots\)

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