Newform search results

Results (17 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
916.1.t.a	$916$	$1$	916.t	916.t	$114$	$36$	$1$	$0.457$	\(\Q(\zeta_{57})\)	$D_{57}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-2\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+\zeta_{114}^{24}q^{2}+\zeta_{114}^{48}q^{4}+(-\zeta_{114}^{13}+\cdots)q^{5}+\cdots\)
1083.1.r.a	$1083$	$1$	1083.r	1083.r	$114$	$36$	$1$	$0.540$	\(\Q(\zeta_{57})\)	$D_{57}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(1\)	\(0\)	\(2\)	$1$		\(q-\zeta_{114}^{13}q^{3}-\zeta_{114}^{17}q^{4}+(\zeta_{114}^{10}+\cdots)q^{7}+\cdots\)
1828.1.x.a	$1828$	$1$	1828.x	1828.x	$114$	$36$	$1$	$0.912$	\(\Q(\zeta_{57})\)	$D_{57}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-2\)	\(0\)	\(-17\)	\(0\)	$1$		\(q+\zeta_{114}^{24}q^{2}+\zeta_{114}^{48}q^{4}+(-\zeta_{114}^{19}+\cdots)q^{5}+\cdots\)
2177.1.g.b	$2177$	$1$	2177.g	2177.g	$6$	$36$	$18$	$1.086$	\(\Q(\zeta_{57})\)	$D_{57}$	\(\Q(\sqrt{-311}) \)	None		$4$	$0$	\(-1\)	\(-1\)	\(2\)	\(1\)	$1$		\(q+(-\zeta_{114}^{9}+\zeta_{114}^{10})q^{2}+(\zeta_{114}^{44}-\zeta_{114}^{51}+\cdots)q^{3}+\cdots\)
2519.1.bi.a	$2519$	$1$	2519.bi	2519.ai	$114$	$36$	$1$	$1.257$	\(\Q(\zeta_{57})\)	$D_{57}$	\(\Q(\sqrt{-11}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(2\)	\(0\)	$1$		\(q+(-\zeta_{114}^{23}-\zeta_{114}^{33})q^{3}-\zeta_{114}^{21}q^{4}+\cdots\)
2591.1.b.c	$2591$	$1$	2591.b	2591.b	$2$	$18$	$18$	$1.293$	\(\Q(\zeta_{57})^+\)	$D_{57}$	\(\Q(\sqrt{-2591}) \)	None	✓	$2$	$0$	\(1\)	\(-2\)	\(1\)	\(0\)	$1$		\(q+\beta _{7}q^{2}+\beta _{9}q^{3}+(1-\beta _{5}+\beta _{14})q^{4}+\cdots\)
2748.1.bo.a	$2748$	$1$	2748.bo	687.u	$114$	$36$	$1$	$1.371$	\(\Q(\zeta_{57})\)	$D_{57}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(1\)	\(0\)	\(-1\)	$1$		\(q-\zeta_{114}^{17}q^{3}+(-\zeta_{114}^{33}-\zeta_{114}^{53}+\cdots)q^{7}+\cdots\)
2799.1.g.c	$2799$	$1$	2799.g	2799.g	$6$	$36$	$18$	$1.397$	\(\Q(\zeta_{57})\)	$D_{57}$	\(\Q(\sqrt{-311}) \)	None		$4$	$0$	\(2\)	\(-2\)	\(-1\)	\(2\)	$1$		\(q+(-\zeta_{114}^{43}+\zeta_{114}^{52})q^{2}-\zeta_{114}^{3}q^{3}+\cdots\)
2879.1.b.c	$2879$	$1$	2879.b	2879.b	$2$	$18$	$18$	$1.437$	\(\Q(\zeta_{57})^+\)	$D_{57}$	\(\Q(\sqrt{-2879}) \)	None	✓	$2$	$0$	\(1\)	\(1\)	\(1\)	\(0\)	$1$		\(q+\beta _{7}q^{2}+\beta _{13}q^{3}+(1-\beta _{5}+\beta _{14}+\cdots)q^{4}+\cdots\)
2888.1.bm.a	$2888$	$1$	2888.bm	2888.am	$114$	$36$	$1$	$1.441$	\(\Q(\zeta_{57})\)	$D_{57}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(1\)	\(-20\)	\(0\)	\(0\)	$1$		\(q-\zeta_{114}^{25}q^{2}+(-\zeta_{114}^{15}+\zeta_{114}^{38}+\cdots)q^{3}+\cdots\)
3199.1.bz.a	$3199$	$1$	3199.bz	3199.az	$114$	$36$	$1$	$1.597$	\(\Q(\zeta_{57})\)	$D_{57}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(-4\)	\(0\)	\(0\)	\(1\)	$1$		\(q+(-\zeta_{114}^{9}+\zeta_{114}^{24})q^{2}+(\zeta_{114}^{18}-\zeta_{114}^{33}+\cdots)q^{4}+\cdots\)
3231.1.f.c	$3231$	$1$	3231.f	3231.f	$6$	$36$	$18$	$1.612$	\(\Q(\zeta_{57})\)	$D_{57}$	\(\Q(\sqrt{-359}) \)	None		$4$	$0$	\(-1\)	\(1\)	\(-1\)	\(0\)	$1$		\(q+(\zeta_{114}^{30}+\zeta_{114}^{46})q^{2}-\zeta_{114}^{17}q^{3}+\cdots\)
3407.1.b.d	$3407$	$1$	3407.b	3407.b	$2$	$18$	$18$	$1.700$	\(\Q(\zeta_{57})^+\)	$D_{57}$	\(\Q(\sqrt{-3407}) \)	None	✓	$2$	$0$	\(-2\)	\(1\)	\(0\)	\(1\)	$1$		\(q-\beta _{11}q^{2}+\beta _{7}q^{3}+(1+\beta _{3})q^{4}+(-\beta _{1}+\cdots)q^{6}+\cdots\)
3435.1.cj.a	$3435$	$1$	3435.cj	3435.bj	$114$	$36$	$1$	$1.714$	\(\Q(\zeta_{57})\)	$D_{57}$	\(\Q(\sqrt{-15}) \)	None		$4$	$0$	\(-4\)	\(1\)	\(1\)	\(0\)	$1$		\(q+(-\zeta_{114}^{39}+\zeta_{114}^{54})q^{2}+\zeta_{114}^{10}q^{3}+\cdots\)
3435.1.cj.b	$3435$	$1$	3435.cj	3435.bj	$114$	$36$	$1$	$1.714$	\(\Q(\zeta_{57})\)	$D_{57}$	\(\Q(\sqrt{-15}) \)	None		$4$	$0$	\(4\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q+(\zeta_{114}^{39}-\zeta_{114}^{54})q^{2}-\zeta_{114}^{10}q^{3}+\cdots\)
3656.1.by.a	$3656$	$1$	3656.by	3656.ay	$114$	$36$	$1$	$1.825$	\(\Q(\zeta_{57})\)	$D_{57}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(-2\)	\(2\)	\(0\)	\(0\)	$1$		\(q+\zeta_{114}^{18}q^{2}+(-\zeta_{114}^{17}-\zeta_{114}^{41}+\cdots)q^{3}+\cdots\)
3997.1.ce.a	$3997$	$1$	3997.ce	3997.be	$114$	$36$	$1$	$1.995$	\(\Q(\zeta_{57})\)	$D_{57}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(0\)	\(-2\)	$1$		\(q+(\zeta_{114}^{24}-\zeta_{114}^{47})q^{2}+(\zeta_{114}^{14}-\zeta_{114}^{37}+\cdots)q^{4}+\cdots\)