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Results (9 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1428.1.b.a	$1428$	$1$	1428.b	1428.b	$2$	$2$	$2$	$0.713$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-21}) \), \(\Q(\sqrt{-119}) \)	\(\Q(\sqrt{51}) \)		$8$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}-iq^{3}+q^{4}+iq^{5}+iq^{6}+iq^{7}+\cdots\)
1428.1.b.b	$1428$	$1$	1428.b	1428.b	$2$	$2$	$2$	$0.713$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-21}) \), \(\Q(\sqrt{-119}) \)	\(\Q(\sqrt{51}) \)		$8$	$0$	\(2\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{2}-iq^{3}+q^{4}-iq^{5}-iq^{6}+iq^{7}+\cdots\)
1428.1.bl.a	$1428$	$1$	1428.bl	1428.al	$6$	$4$	$2$	$0.713$	\(\Q(\zeta_{12})\)	$D_{6}$	None	\(\Q(\sqrt{51}) \)		$8$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{12}^{4}q^{2}+\zeta_{12}^{5}q^{3}-\zeta_{12}^{2}q^{4}+\cdots\)
1428.1.bl.b	$1428$	$1$	1428.bl	1428.al	$6$	$4$	$2$	$0.713$	\(\Q(\zeta_{12})\)	$D_{6}$	None	\(\Q(\sqrt{51}) \)		$8$	$0$	\(2\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{12}^{4}q^{2}+\zeta_{12}^{5}q^{3}-\zeta_{12}^{2}q^{4}+\cdots\)
2448.1.i.b	$2448$	$1$	2448.i	68.d	$2$	$2$	$2$	$1.222$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-51}) \)	\(\Q(\sqrt{51}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{5}+q^{13}-iq^{17}-3q^{25}+iq^{29}+\cdots\)
3060.1.f.a	$3060$	$1$	3060.f	340.d	$2$	$1$	$1$	$1.527$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-85}) \)	\(\Q(\sqrt{51}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(-1\)	\(0\)	$1$		\(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}+q^{16}+\cdots\)
3060.1.f.b	$3060$	$1$	3060.f	340.d	$2$	$1$	$1$	$1.527$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-85}) \)	\(\Q(\sqrt{51}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(1\)	\(0\)	$1$		\(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}+q^{16}+\cdots\)
3060.1.f.c	$3060$	$1$	3060.f	340.d	$2$	$1$	$1$	$1.527$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-85}) \)	\(\Q(\sqrt{51}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}+q^{16}+\cdots\)
3060.1.f.d	$3060$	$1$	3060.f	340.d	$2$	$1$	$1$	$1.527$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-85}) \)	\(\Q(\sqrt{51}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(1\)	\(0\)	$1$		\(q+q^{2}+q^{4}+q^{5}+q^{8}+q^{10}+q^{16}+\cdots\)