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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
712.1.c.a	$712$	$1$	712.c	712.c	$2$	$1$	$1$	$0.355$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-178}) \)	\(\Q(\sqrt{89}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{2}+q^{4}+q^{8}+q^{9}-2q^{11}+q^{16}+\cdots\)
712.1.c.b	$712$	$1$	712.c	712.c	$2$	$2$	$2$	$0.355$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-178}) \)	None	✓	$4$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{4}-\beta q^{7}-q^{8}+q^{9}+\beta q^{13}+\cdots\)
2848.1.c.a	$2848$	$1$	2848.c	712.c	$2$	$1$	$1$	$1.421$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-178}) \)	\(\Q(\sqrt{89}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{9}+2q^{11}-2q^{17}+q^{25}-q^{49}+\cdots\)
2848.1.c.b	$2848$	$1$	2848.c	712.c	$2$	$2$	$2$	$1.421$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-178}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta q^{7}+q^{9}-\beta q^{13}+\beta q^{23}+q^{25}+\cdots\)