Newform search results

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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2359.1.dj.a	$2359$	$1$	2359.dj	2359.cj	$168$	$48$	$1$	$1.177$	\(\Q(\zeta_{168})\)	$D_{168}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{168}^{23}+\zeta_{168}^{57})q^{2}+(-\zeta_{168}^{30}+\cdots)q^{4}+\cdots\)
2692.1.bp.a	$2692$	$1$	2692.bp	2692.ap	$168$	$48$	$1$	$1.343$	\(\Q(\zeta_{168})\)	$D_{168}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(-8\)	\(0\)	$1$		\(q+\zeta_{168}^{49}q^{2}-\zeta_{168}^{14}q^{4}+(-\zeta_{168}^{43}+\cdots)q^{5}+\cdots\)
2696.1.cu.a	$2696$	$1$	2696.cu	2696.bu	$168$	$48$	$1$	$1.345$	\(\Q(\zeta_{168})\)	$D_{168}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(-4\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{168}^{8}q^{2}+(-\zeta_{168}^{35}-\zeta_{168}^{39})q^{3}+\cdots\)
3027.1.by.a	$3027$	$1$	3027.by	3027.ay	$168$	$48$	$1$	$1.511$	\(\Q(\zeta_{168})\)	$D_{168}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{168}^{75}q^{3}-\zeta_{168}^{10}q^{4}+(\zeta_{168}^{13}+\cdots)q^{7}+\cdots\)
3503.1.bs.b	$3503$	$1$	3503.bs	3503.as	$56$	$48$	$2$	$1.748$	\(\Q(\zeta_{168})\)	$D_{168}$	\(\Q(\sqrt{-31}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{168}^{17}-\zeta_{168}^{19})q^{2}+(\zeta_{168}^{34}+\cdots)q^{4}+\cdots\)