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Results (4 matches)

 

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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1687.1.b.a	$1687$	$1$	1687.b	1687.b	$2$	$1$	$1$	$0.842$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1687}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(0\)	\(-1\)	$1$		\(q-q^{2}-q^{7}+q^{8}+q^{9}-2q^{13}+q^{14}+\cdots\)
1687.1.b.b	$1687$	$1$	1687.b	1687.b	$2$	$1$	$1$	$0.842$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1687}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(0\)	\(1\)	$1$		\(q-q^{2}+q^{7}+q^{8}+q^{9}+2q^{13}-q^{14}+\cdots\)
1687.1.b.c	$1687$	$1$	1687.b	1687.b	$2$	$3$	$3$	$0.842$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-1687}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-3\)	$1$		\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{7}+(-1-\beta _{1}+\cdots)q^{8}+\cdots\)
1687.1.b.d	$1687$	$1$	1687.b	1687.b	$2$	$3$	$3$	$0.842$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-1687}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(3\)	$1$		\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{7}+(-1-\beta _{1}+\cdots)q^{8}+\cdots\)