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Results (5 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
700.1.j.a	$700$	$1$	700.j	140.j	$4$	$4$	$2$	$0.349$	\(\Q(\zeta_{8})\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-5}) \)	\(\Q(\sqrt{35}) \)		$16$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{7}-\zeta_{8}q^{8}+\cdots\)
1820.1.u.a	$1820$	$1$	1820.u	1820.u	$4$	$4$	$2$	$0.908$	\(\Q(\zeta_{8})\)	$D_{4}$	None	\(\Q(\sqrt{35}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+\zeta_{8}^{3}q^{5}-\zeta_{8}q^{7}+\cdots\)
1820.1.u.b	$1820$	$1$	1820.u	1820.u	$4$	$4$	$2$	$0.908$	\(\Q(\zeta_{8})\)	$D_{4}$	None	\(\Q(\sqrt{35}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{5}-\zeta_{8}q^{7}+\cdots\)
3920.1.j.c	$3920$	$1$	3920.j	20.d	$2$	$2$	$2$	$1.956$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-35}) \)	\(\Q(\sqrt{35}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{5}-q^{9}+iq^{13}+iq^{17}-q^{25}+\cdots\)
3920.1.bt.f	$3920$	$1$	3920.bt	140.p	$6$	$4$	$2$	$1.956$	\(\Q(\zeta_{12})\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-35}) \)	\(\Q(\sqrt{35}) \)		$16$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{12}q^{5}-\zeta_{12}^{4}q^{9}-\zeta_{12}^{3}q^{13}+\cdots\)