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Results (7 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
504.1.l.b	$504$	$1$	504.l	56.h	$2$	$2$	$2$	$0.252$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-6}) \)	\(\Q(\sqrt{42}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$1$		\(q-iq^{2}-q^{4}+q^{7}+iq^{8}-iq^{11}+\cdots\)
1344.1.e.b	$1344$	$1$	1344.e	168.e	$2$	$2$	$2$	$0.671$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-14}) \)	\(\Q(\sqrt{42}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{3}-iq^{7}-q^{9}-q^{13}-iq^{19}+\cdots\)
1344.1.e.c	$1344$	$1$	1344.e	168.e	$2$	$2$	$2$	$0.671$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-14}) \)	\(\Q(\sqrt{42}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+iq^{3}-iq^{7}-q^{9}+q^{13}+iq^{19}+\cdots\)
2016.1.l.b	$2016$	$1$	2016.l	56.h	$2$	$2$	$2$	$1.006$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-6}) \)	\(\Q(\sqrt{42}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)	$2$		\(q-q^{7}-iq^{11}-q^{25}-iq^{29}+q^{49}+\cdots\)
3192.1.m.f	$3192$	$1$	3192.m	3192.m	$2$	$2$	$2$	$1.593$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-38}) \), \(\Q(\sqrt{-399}) \)	\(\Q(\sqrt{42}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$1$		\(q-iq^{2}-iq^{3}-q^{4}-q^{6}+q^{7}+iq^{8}+\cdots\)
3192.1.m.g	$3192$	$1$	3192.m	3192.m	$2$	$2$	$2$	$1.593$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-38}) \), \(\Q(\sqrt{-399}) \)	\(\Q(\sqrt{42}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$1$		\(q+iq^{2}-iq^{3}-q^{4}+q^{6}+q^{7}-iq^{8}+\cdots\)
3528.1.bw.b	$3528$	$1$	3528.bw	56.j	$6$	$4$	$2$	$1.761$	\(\Q(\zeta_{12})\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-6}) \)	\(\Q(\sqrt{42}) \)		$16$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{4}q^{4}+\zeta_{12}^{3}q^{8}+\cdots\)