Newform search results

Results (12 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2849.1.hb.a	$2849$	$1$	2849.hb	2849.gb	$180$	$48$	$1$	$1.422$	\(\Q(\zeta_{180})\)	$D_{180}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{180}^{39}-\zeta_{180}^{52})q^{2}+(-\zeta_{180}+\cdots)q^{4}+\cdots\)
2849.1.hb.b	$2849$	$1$	2849.hb	2849.gb	$180$	$48$	$1$	$1.422$	\(\Q(\zeta_{180})\)	$D_{180}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{180}^{34}-\zeta_{180}^{57})q^{2}+(-\zeta_{180}+\cdots)q^{4}+\cdots\)
3441.1.gy.a	$3441$	$1$	3441.gy	3441.fy	$180$	$48$	$1$	$1.717$	\(\Q(\zeta_{180})\)	$D_{180}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{180}^{4}q^{3}-\zeta_{180}^{7}q^{4}+(-\zeta_{180}^{41}+\cdots)q^{7}+\cdots\)
3441.1.hi.a	$3441$	$1$	3441.hi	3441.gi	$180$	$48$	$1$	$1.717$	\(\Q(\zeta_{180})\)	$D_{180}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{180}^{4}q^{3}-\zeta_{180}^{67}q^{4}+(\zeta_{180}^{21}+\zeta_{180}^{83}+\cdots)q^{7}+\cdots\)
3477.1.he.a	$3477$	$1$	3477.he	3477.ge	$180$	$48$	$1$	$1.735$	\(\Q(\zeta_{180})\)	$D_{180}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{180}^{88}q^{3}-\zeta_{180}^{11}q^{4}+(\zeta_{180}^{14}+\cdots)q^{7}+\cdots\)
3477.1.hi.a	$3477$	$1$	3477.hi	3477.gi	$180$	$48$	$1$	$1.735$	\(\Q(\zeta_{180})\)	$D_{180}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{180}^{46}q^{3}+\zeta_{180}^{47}q^{4}+(-\zeta_{180}^{28}+\cdots)q^{7}+\cdots\)
3620.1.ee.a	$3620$	$1$	3620.ee	3620.de	$180$	$48$	$1$	$1.807$	\(\Q(\zeta_{180})\)	$D_{180}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{180}^{56}q^{2}-\zeta_{180}^{22}q^{4}+\zeta_{180}^{25}q^{5}+\cdots\)
3620.1.eo.a	$3620$	$1$	3620.eo	3620.do	$180$	$48$	$1$	$1.807$	\(\Q(\zeta_{180})\)	$D_{180}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{180}q^{2}+\zeta_{180}^{2}q^{4}+\zeta_{180}^{7}q^{5}-\zeta_{180}^{3}q^{8}+\cdots\)
3700.1.ek.a	$3700$	$1$	3700.ek	3700.dk	$180$	$48$	$1$	$1.847$	\(\Q(\zeta_{180})\)	$D_{180}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{180}^{52}q^{2}-\zeta_{180}^{14}q^{4}+\zeta_{180}^{46}q^{5}+\cdots\)
3700.1.ep.a	$3700$	$1$	3700.ep	3700.dp	$180$	$48$	$1$	$1.847$	\(\Q(\zeta_{180})\)	$D_{180}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{180}^{89}q^{2}-\zeta_{180}^{88}q^{4}+\zeta_{180}^{57}q^{5}+\cdots\)
3801.1.gy.a	$3801$	$1$	3801.gy	3801.fy	$180$	$48$	$1$	$1.897$	\(\Q(\zeta_{180})\)	$D_{180}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-6\)	$1$		\(q-\zeta_{180}^{79}q^{3}+\zeta_{180}^{43}q^{4}+\zeta_{180}^{42}q^{7}+\cdots\)
3801.1.he.a	$3801$	$1$	3801.he	3801.ge	$180$	$48$	$1$	$1.897$	\(\Q(\zeta_{180})\)	$D_{180}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{180}^{71}q^{3}-\zeta_{180}^{17}q^{4}+\zeta_{180}^{27}q^{7}+\cdots\)