Newform search results

Results (22 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1057.1.ch.a	$1057$	$1$	1057.ch	1057.bh	$150$	$40$	$1$	$0.528$	\(\Q(\zeta_{75})\)	$D_{75}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{150}^{31}-\zeta_{150}^{39})q^{2}+(-\zeta_{150}^{3}+\cdots)q^{4}+\cdots\)
1812.1.bq.a	$1812$	$1$	1812.bq	453.v	$150$	$40$	$1$	$0.904$	\(\Q(\zeta_{75})\)	$D_{75}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{150}^{24}q^{3}+(\zeta_{150}^{32}+\zeta_{150}^{54})q^{7}+\cdots\)
2265.1.cp.a	$2265$	$1$	2265.cp	2265.bp	$150$	$40$	$1$	$1.130$	\(\Q(\zeta_{75})\)	$D_{75}$	\(\Q(\sqrt{-15}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{150}^{27}+\zeta_{150}^{53})q^{2}+\zeta_{150}^{57}q^{3}+\cdots\)
2265.1.cp.b	$2265$	$1$	2265.cp	2265.bp	$150$	$40$	$1$	$1.130$	\(\Q(\zeta_{75})\)	$D_{75}$	\(\Q(\sqrt{-15}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{150}^{27}-\zeta_{150}^{53})q^{2}-\zeta_{150}^{57}q^{3}+\cdots\)
2323.1.u.b	$2323$	$1$	2323.u	2323.u	$50$	$40$	$2$	$1.159$	\(\Q(\zeta_{75})\)	$D_{75}$	\(\Q(\sqrt{-23}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$5$		\(q+(\zeta_{150}^{16}-\zeta_{150}^{53})q^{2}+(\zeta_{150}^{2}+\zeta_{150}^{34}+\cdots)q^{3}+\cdots\)
2404.1.bp.a	$2404$	$1$	2404.bp	2404.ap	$150$	$40$	$1$	$1.200$	\(\Q(\zeta_{75})\)	$D_{75}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{150}^{33}q^{2}+\zeta_{150}^{66}q^{4}+(\zeta_{150}^{54}+\cdots)q^{5}+\cdots\)
2449.1.bg.a	$2449$	$1$	2449.bg	2449.ag	$30$	$40$	$5$	$1.222$	\(\Q(\zeta_{75})\)	$D_{75}$	\(\Q(\sqrt{-79}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{150}^{7}+\zeta_{150}^{8})q^{2}+(\zeta_{150}^{14}-\zeta_{150}^{15}+\cdots)q^{4}+\cdots\)
2629.1.g.b	$2629$	$1$	2629.g	2629.g	$10$	$40$	$10$	$1.312$	\(\Q(\zeta_{75})\)	$D_{75}$	\(\Q(\sqrt{-239}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{150}^{4}-\zeta_{150}^{11})q^{2}+(-\zeta_{150}^{21}+\zeta_{150}^{24}+\cdots)q^{3}+\cdots\)
2867.1.w.a	$2867$	$1$	2867.w	2867.w	$30$	$40$	$5$	$1.431$	\(\Q(\zeta_{75})\)	$D_{75}$	\(\Q(\sqrt{-47}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{150}^{7}-\zeta_{150}^{13})q^{2}+(-\zeta_{150}^{59}+\cdots)q^{3}+\cdots\)
3131.1.dn.b	$3131$	$1$	3131.dn	3131.cn	$50$	$40$	$2$	$1.563$	\(\Q(\zeta_{75})\)	$D_{75}$	\(\Q(\sqrt{-31}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{150}^{16}-\zeta_{150}^{17})q^{2}+(\zeta_{150}^{32}-\zeta_{150}^{33}+\cdots)q^{4}+\cdots\)
3171.1.dy.a	$3171$	$1$	3171.dy	3171.cy	$150$	$40$	$1$	$1.583$	\(\Q(\zeta_{75})\)	$D_{75}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{150}^{68}q^{3}+\zeta_{150}^{70}q^{4}+\zeta_{150}^{24}q^{7}+\cdots\)
3171.1.ep.a	$3171$	$1$	3171.ep	3171.dp	$150$	$40$	$1$	$1.583$	\(\Q(\zeta_{75})\)	$D_{75}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{150}^{47}q^{3}+\zeta_{150}^{30}q^{4}-\zeta_{150}^{37}q^{7}+\cdots\)
3353.1.f.c	$3353$	$1$	3353.f	3353.f	$6$	$40$	$20$	$1.673$	\(\Q(\zeta_{75})\)	$D_{75}$	\(\Q(\sqrt{-479}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{150}^{54}-\zeta_{150}^{71})q^{2}+(-\zeta_{150}^{49}+\cdots)q^{3}+\cdots\)
3473.1.x.b	$3473$	$1$	3473.x	3473.x	$50$	$40$	$2$	$1.733$	\(\Q(\zeta_{75})\)	$D_{75}$	\(\Q(\sqrt{-23}) \)	None		$4$	$0$	\(0\)	\(5\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{150}-\zeta_{150}^{59})q^{2}+(-\zeta_{150}^{23}+\cdots)q^{3}+\cdots\)
3473.1.bj.a	$3473$	$1$	3473.bj	3473.aj	$150$	$40$	$1$	$1.733$	\(\Q(\zeta_{75})\)	$D_{75}$	\(\Q(\sqrt{-23}) \)	None		$4$	$0$	\(0\)	\(-10\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{150}^{7}-\zeta_{150}^{73})q^{2}+(\zeta_{150}^{54}+\zeta_{150}^{60}+\cdots)q^{3}+\cdots\)
3473.1.bj.b	$3473$	$1$	3473.bj	3473.aj	$150$	$40$	$1$	$1.733$	\(\Q(\zeta_{75})\)	$D_{75}$	\(\Q(\sqrt{-23}) \)	None		$4$	$0$	\(0\)	\(5\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{150}^{32}+\zeta_{150}^{48})q^{2}+(\zeta_{150}^{4}-\zeta_{150}^{35}+\cdots)q^{3}+\cdots\)
3473.1.bj.c	$3473$	$1$	3473.bj	3473.aj	$150$	$40$	$1$	$1.733$	\(\Q(\zeta_{75})\)	$D_{75}$	\(\Q(\sqrt{-23}) \)	None		$4$	$0$	\(0\)	\(5\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{150}^{23}-\zeta_{150}^{57})q^{2}+(\zeta_{150}^{10}+\cdots)q^{3}+\cdots\)
3624.1.dk.a	$3624$	$1$	3624.dk	3624.ck	$150$	$40$	$1$	$1.809$	\(\Q(\zeta_{75})\)	$D_{75}$	\(\Q(\sqrt{-6}) \)	None		$4$	$0$	\(-5\)	\(0\)	\(10\)	\(0\)	$1$		\(q-\zeta_{150}^{20}q^{2}-\zeta_{150}^{6}q^{3}+\zeta_{150}^{40}q^{4}+\cdots\)
3624.1.dk.b	$3624$	$1$	3624.dk	3624.ck	$150$	$40$	$1$	$1.809$	\(\Q(\zeta_{75})\)	$D_{75}$	\(\Q(\sqrt{-6}) \)	None		$4$	$0$	\(5\)	\(0\)	\(-10\)	\(0\)	$1$		\(q+\zeta_{150}^{20}q^{2}+\zeta_{150}^{6}q^{3}+\zeta_{150}^{40}q^{4}+\cdots\)
3689.1.ea.a	$3689$	$1$	3689.ea	3689.da	$30$	$40$	$5$	$1.841$	\(\Q(\zeta_{75})\)	$D_{75}$	\(\Q(\sqrt{-119}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(5\)	$1$		\(q+(-\zeta_{150}^{11}-\zeta_{150}^{49})q^{2}+(\zeta_{150}^{44}+\cdots)q^{3}+\cdots\)
3689.1.ea.b	$3689$	$1$	3689.ea	3689.da	$30$	$40$	$5$	$1.841$	\(\Q(\zeta_{75})\)	$D_{75}$	\(\Q(\sqrt{-119}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-5\)	$1$		\(q+(-\zeta_{150}^{11}-\zeta_{150}^{49})q^{2}+(-\zeta_{150}^{44}+\cdots)q^{3}+\cdots\)
3875.1.dc.b	$3875$	$1$	3875.dc	3875.cc	$50$	$40$	$2$	$1.934$	\(\Q(\zeta_{75})\)	$D_{75}$	\(\Q(\sqrt{-31}) \)	None		$4$	$0$	\(5\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{150}^{38}-\zeta_{150}^{55})q^{2}+(-\zeta_{150}+\zeta_{150}^{18}+\cdots)q^{4}+\cdots\)