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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2356.1.c.a	$2356$	$1$	2356.c	2356.c	$2$	$1$	$1$	$1.176$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-31}) \), \(\Q(\sqrt{-589}) \)	\(\Q(\sqrt{19}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-q^{2}+q^{4}-2q^{5}-q^{8}+q^{9}+2q^{10}+\cdots\)
2356.1.c.b	$2356$	$1$	2356.c	2356.c	$2$	$1$	$1$	$1.176$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-31}) \), \(\Q(\sqrt{-589}) \)	\(\Q(\sqrt{19}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(-2\)	\(0\)	$1$		\(q+q^{2}+q^{4}-2q^{5}+q^{8}+q^{9}-2q^{10}+\cdots\)
2356.1.c.c	$2356$	$1$	2356.c	2356.c	$2$	$2$	$2$	$1.176$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-589}) \)	None	✓	$4$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{4}-q^{8}+q^{9}-\beta q^{11}-\beta q^{13}+\cdots\)
2356.1.c.f	$2356$	$1$	2356.c	2356.c	$2$	$2$	$2$	$1.176$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-589}) \)	None	✓	$4$	$0$	\(2\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{2}+q^{4}+q^{8}+q^{9}-\beta q^{11}+\beta q^{13}+\cdots\)