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Results (3 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1024.1.f.a	$1024$	$1$	1024.f	16.f	$4$	$2$	$1$	$0.511$	\(\Q(\sqrt{-1}) \)	$D_{4}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q+(-1-i)q^{3}+iq^{9}+(1-i)q^{11}+\cdots\)
1024.1.f.b	$1024$	$1$	1024.f	16.f	$4$	$2$	$1$	$0.511$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-2}) \)	\(\Q(\sqrt{2}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{9}+q^{17}-iq^{25}+iq^{41}-q^{49}+\cdots\)
1024.1.f.c	$1024$	$1$	1024.f	16.f	$4$	$2$	$1$	$0.511$	\(\Q(\sqrt{-1}) \)	$D_{4}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(2\)	\(0\)	\(0\)	$1$		\(q+(1+i)q^{3}+iq^{9}+(-1+i)q^{11}+\cdots\)