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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1640.1.j.a	$1640$	$1$	1640.j	1640.j	$2$	$1$	$1$	$0.818$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-10}) \), \(\Q(\sqrt{-410}) \)	\(\Q(\sqrt{41}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(-1\)	\(0\)	$1$		\(q-q^{2}+q^{4}-q^{5}-q^{8}-q^{9}+q^{10}+\cdots\)
1640.1.j.b	$1640$	$1$	1640.j	1640.j	$2$	$1$	$1$	$0.818$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-10}) \), \(\Q(\sqrt{-410}) \)	\(\Q(\sqrt{41}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(1\)	\(0\)	$1$		\(q+q^{2}+q^{4}+q^{5}+q^{8}-q^{9}+q^{10}+\cdots\)
1640.1.j.c	$1640$	$1$	1640.j	1640.j	$2$	$2$	$2$	$0.818$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-410}) \)	None	✓	$4$	$0$	\(-2\)	\(0\)	\(2\)	\(0\)	$1$		\(q-q^{2}-\beta q^{3}+q^{4}+q^{5}+\beta q^{6}-q^{8}+\cdots\)
1640.1.j.d	$1640$	$1$	1640.j	1640.j	$2$	$2$	$2$	$0.818$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-410}) \)	None	✓	$4$	$0$	\(2\)	\(0\)	\(-2\)	\(0\)	$1$		\(q+q^{2}-\beta q^{3}+q^{4}-q^{5}-\beta q^{6}+q^{8}+\cdots\)