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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2817.1.cl.a	$2817$	$1$	2817.cl	313.n	$104$	$48$	$1$	$1.406$	\(\Q(\zeta_{104})\)	$D_{104}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{104}^{2}q^{4}+(-\zeta_{104}^{7}+\zeta_{104}^{18})q^{7}+\cdots\)
3247.1.i.b	$3247$	$1$	3247.i	3247.i	$8$	$48$	$12$	$1.620$	\(\Q(\zeta_{104})\)	$D_{104}$	\(\Q(\sqrt{-191}) \)	None		$4$	$0$	\(0\)	\(-4\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{104}^{27}+\zeta_{104}^{51})q^{2}+(-\zeta_{104}^{4}+\zeta_{104}^{9}+\cdots)q^{3}+\cdots\)
3604.1.cg.a	$3604$	$1$	3604.cg	3604.bg	$104$	$48$	$1$	$1.799$	\(\Q(\zeta_{104})\)	$D_{104}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{104}^{37}q^{2}-\zeta_{104}^{22}q^{4}+(\zeta_{104}^{14}+\cdots)q^{5}+\cdots\)
3604.1.cg.b	$3604$	$1$	3604.cg	3604.bg	$104$	$48$	$1$	$1.799$	\(\Q(\zeta_{104})\)	$D_{104}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{104}^{37}q^{2}-\zeta_{104}^{22}q^{4}+(-\zeta_{104}^{6}+\cdots)q^{5}+\cdots\)
3747.1.bj.a	$3747$	$1$	3747.bj	3747.aj	$104$	$48$	$1$	$1.870$	\(\Q(\zeta_{104})\)	$D_{104}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{104}^{47}q^{3}+\zeta_{104}^{8}q^{4}+(\zeta_{104}^{30}-\zeta_{104}^{31}+\cdots)q^{7}+\cdots\)