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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
644.1.h.a	$644$	$1$	644.h	644.h	$2$	$1$	$1$	$0.321$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-161}) \)	\(\Q(\sqrt{23}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+q^{2}+q^{4}-q^{7}+q^{8}-q^{9}+2q^{11}+\cdots\)
644.1.h.b	$644$	$1$	644.h	644.h	$2$	$1$	$1$	$0.321$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-161}) \)	\(\Q(\sqrt{23}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(0\)	\(1\)	$1$		\(q+q^{2}+q^{4}+q^{7}+q^{8}-q^{9}-2q^{11}+\cdots\)
2116.1.c.a	$2116$	$1$	2116.c	4.b	$2$	$1$	$1$	$1.056$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-23}) \)	\(\Q(\sqrt{23}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{4}-q^{8}+q^{9}+2q^{13}+q^{16}+\cdots\)
2116.1.g.c	$2116$	$1$	2116.g	92.g	$22$	$10$	$1$	$1.056$	\(\Q(\zeta_{22})\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-23}) \)	\(\Q(\sqrt{23}) \)		$40$	$0$	\(1\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{22}^{5}q^{2}+\zeta_{22}^{10}q^{4}-\zeta_{22}^{4}q^{8}+\cdots\)