Newform search results

Results (8 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
600.1.q.a	$600$	$1$	600.q	120.q	$4$	$4$	$2$	$0.299$	\(\Q(\zeta_{8})\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-15}) \)	\(\Q(\sqrt{30}) \)		$16$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{8}^{3}q^{2}-\zeta_{8}q^{3}-\zeta_{8}^{2}q^{4}+q^{6}+\cdots\)
1920.1.i.e	$1920$	$1$	1920.i	120.i	$2$	$2$	$2$	$0.958$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-6}) \)	\(\Q(\sqrt{30}) \)		$8$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-iq^{3}-q^{5}-iq^{7}-q^{9}+iq^{15}+\cdots\)
1920.1.i.f	$1920$	$1$	1920.i	120.i	$2$	$2$	$2$	$0.958$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-6}) \)	\(\Q(\sqrt{30}) \)		$8$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q-iq^{3}+q^{5}+iq^{7}-q^{9}-iq^{15}+\cdots\)
2280.1.t.e	$2280$	$1$	2280.t	2280.t	$2$	$2$	$2$	$1.138$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-95}) \), \(\Q(\sqrt{-114}) \)	\(\Q(\sqrt{30}) \)		$8$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-iq^{2}-iq^{3}-q^{4}-q^{5}-q^{6}+iq^{8}+\cdots\)
2280.1.t.h	$2280$	$1$	2280.t	2280.t	$2$	$2$	$2$	$1.138$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-95}) \), \(\Q(\sqrt{-114}) \)	\(\Q(\sqrt{30}) \)		$8$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q-iq^{2}-iq^{3}-q^{4}+q^{5}-q^{6}+iq^{8}+\cdots\)
2400.1.u.a	$2400$	$1$	2400.u	120.q	$4$	$4$	$2$	$1.198$	\(\Q(\zeta_{8})\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-15}) \)	\(\Q(\sqrt{30}) \)		$16$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{8}q^{3}+\zeta_{8}^{2}q^{9}+\zeta_{8}^{3}q^{17}+\zeta_{8}^{2}q^{19}+\cdots\)
3840.1.c.e	$3840$	$1$	3840.c	15.d	$2$	$2$	$2$	$1.916$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-6}) \)	\(\Q(\sqrt{30}) \)		$8$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-q^{3}-iq^{5}+iq^{7}+q^{9}+iq^{15}+\cdots\)
3840.1.c.h	$3840$	$1$	3840.c	15.d	$2$	$2$	$2$	$1.916$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-6}) \)	\(\Q(\sqrt{30}) \)		$8$	$0$	\(0\)	\(2\)	\(0\)	\(0\)	$1$		\(q+q^{3}-iq^{5}-iq^{7}+q^{9}-iq^{15}+\cdots\)