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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
868.1.c.a	$868$	$1$	868.c	868.c	$2$	$1$	$1$	$0.433$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-31}) \), \(\Q(\sqrt{-217}) \)	\(\Q(\sqrt{7}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(-1\)	$1$		\(q-q^{2}+q^{4}-q^{7}-q^{8}+q^{9}+q^{14}+\cdots\)
868.1.c.b	$868$	$1$	868.c	868.c	$2$	$1$	$1$	$0.433$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-31}) \), \(\Q(\sqrt{-217}) \)	\(\Q(\sqrt{7}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(1\)	$1$		\(q-q^{2}+q^{4}+q^{7}-q^{8}+q^{9}-q^{14}+\cdots\)
3472.1.e.a	$3472$	$1$	3472.e	868.c	$2$	$2$	$2$	$1.733$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-217}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)	$1$		\(q-q^{7}+q^{9}-\beta q^{11}-\beta q^{13}+\beta q^{17}+\cdots\)
3472.1.e.b	$3472$	$1$	3472.e	868.c	$2$	$2$	$2$	$1.733$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-217}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$1$		\(q+q^{7}+q^{9}-\beta q^{11}+\beta q^{13}-\beta q^{17}+\cdots\)