Newform search results

Results (32 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1623.1.bl.a	$1623$	$1$	1623.bl	1623.al	$90$	$24$	$1$	$0.810$	\(\Q(\zeta_{45})\)	$D_{90}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{90}^{23}q^{3}+\zeta_{90}^{29}q^{4}+(\zeta_{90}^{19}+\cdots)q^{7}+\cdots\)
1672.1.dn.a	$1672$	$1$	1672.dn	1672.cn	$90$	$24$	$1$	$0.834$	\(\Q(\zeta_{45})\)	$D_{90}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(3\)	\(0\)	\(0\)	$1$		\(q-\zeta_{90}^{8}q^{2}+(\zeta_{90}^{6}-\zeta_{90}^{22})q^{3}+\zeta_{90}^{16}q^{4}+\cdots\)
1672.1.dn.b	$1672$	$1$	1672.dn	1672.cn	$90$	$24$	$1$	$0.834$	\(\Q(\zeta_{45})\)	$D_{90}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(3\)	\(0\)	\(0\)	$1$		\(q+\zeta_{90}^{8}q^{2}+(\zeta_{90}^{31}+\zeta_{90}^{42})q^{3}+\cdots\)
1739.1.o.b	$1739$	$1$	1739.o	1739.o	$18$	$24$	$4$	$0.868$	\(\Q(\zeta_{45})\)	$D_{90}$	\(\Q(\sqrt{-47}) \)	None		$4$	$0$	\(3\)	\(6\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{90}^{17}-\zeta_{90}^{33})q^{2}+(\zeta_{90}^{9}+\zeta_{90}^{31}+\cdots)q^{3}+\cdots\)
1767.1.eh.a	$1767$	$1$	1767.eh	1767.dh	$90$	$24$	$1$	$0.882$	\(\Q(\zeta_{45})\)	$D_{90}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{90}^{37}q^{3}-\zeta_{90}^{26}q^{4}+(-\zeta_{90}^{34}+\cdots)q^{7}+\cdots\)
1767.1.ew.a	$1767$	$1$	1767.ew	1767.dw	$90$	$24$	$1$	$0.882$	\(\Q(\zeta_{45})\)	$D_{90}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{90}^{4}q^{3}+\zeta_{90}^{17}q^{4}+(\zeta_{90}+\zeta_{90}^{23}+\cdots)q^{7}+\cdots\)
1991.1.ee.a	$1991$	$1$	1991.ee	1991.de	$90$	$24$	$1$	$0.994$	\(\Q(\zeta_{45})\)	$D_{90}$	\(\Q(\sqrt{-11}) \)	None		$4$	$0$	\(0\)	\(3\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{90}^{3}-\zeta_{90}^{25})q^{3}+\zeta_{90}^{23}q^{4}+\cdots\)
2139.1.bk.a	$2139$	$1$	2139.bk	2139.ak	$30$	$24$	$3$	$1.068$	\(\Q(\zeta_{45})\)	$D_{90}$	\(\Q(\sqrt{-23}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{90}^{28}-\zeta_{90}^{35})q^{2}-\zeta_{90}^{19}q^{3}+\cdots\)
2139.1.bk.b	$2139$	$1$	2139.bk	2139.ak	$30$	$24$	$3$	$1.068$	\(\Q(\zeta_{45})\)	$D_{90}$	\(\Q(\sqrt{-23}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{90}^{28}+\zeta_{90}^{35})q^{2}+\zeta_{90}^{23}q^{3}+\cdots\)
2172.1.cm.a	$2172$	$1$	2172.cm	543.ag	$90$	$24$	$1$	$1.084$	\(\Q(\zeta_{45})\)	$D_{90}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{90}^{32}q^{3}+(\zeta_{90}^{6}-\zeta_{90}^{24})q^{7}+\cdots\)
2376.1.dn.a	$2376$	$1$	2376.dn	2376.cn	$90$	$24$	$1$	$1.186$	\(\Q(\zeta_{45})\)	$D_{90}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{90}^{19}q^{2}+\zeta_{90}^{13}q^{3}+\zeta_{90}^{38}q^{4}+\cdots\)
2376.1.dn.b	$2376$	$1$	2376.dn	2376.cn	$90$	$24$	$1$	$1.186$	\(\Q(\zeta_{45})\)	$D_{90}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{90}^{19}q^{2}+\zeta_{90}^{31}q^{3}+\zeta_{90}^{38}q^{4}+\cdots\)
2439.1.cx.a	$2439$	$1$	2439.cx	271.n	$90$	$24$	$1$	$1.217$	\(\Q(\zeta_{45})\)	$D_{90}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(3\)	$1$		\(q-\zeta_{90}^{34}q^{4}+(-\zeta_{90}^{3}-\zeta_{90}^{19})q^{7}+\cdots\)
2715.1.dx.a	$2715$	$1$	2715.dx	2715.cx	$90$	$24$	$1$	$1.355$	\(\Q(\zeta_{45})\)	$D_{90}$	\(\Q(\sqrt{-15}) \)	None		$4$	$0$	\(-6\)	\(0\)	\(-3\)	\(0\)	$1$		\(q+(\zeta_{90}^{5}-\zeta_{90}^{9})q^{2}+\zeta_{90}^{32}q^{3}+(\zeta_{90}^{10}+\cdots)q^{4}+\cdots\)
2715.1.dx.b	$2715$	$1$	2715.dx	2715.cx	$90$	$24$	$1$	$1.355$	\(\Q(\zeta_{45})\)	$D_{90}$	\(\Q(\sqrt{-15}) \)	None		$4$	$0$	\(6\)	\(0\)	\(3\)	\(0\)	$1$		\(q+(-\zeta_{90}^{5}+\zeta_{90}^{9})q^{2}-\zeta_{90}^{32}q^{3}+\cdots\)
2849.1.gh.a	$2849$	$1$	2849.gh	2849.fh	$90$	$24$	$1$	$1.422$	\(\Q(\zeta_{45})\)	$D_{90}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(-3\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{90}^{2}-\zeta_{90}^{6})q^{2}+(\zeta_{90}^{4}-\zeta_{90}^{8}+\cdots)q^{4}+\cdots\)
2849.1.gh.b	$2849$	$1$	2849.gh	2849.fh	$90$	$24$	$1$	$1.422$	\(\Q(\zeta_{45})\)	$D_{90}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(-3\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{90}^{11}-\zeta_{90}^{42})q^{2}+(-\zeta_{90}^{8}+\cdots)q^{4}+\cdots\)
2852.1.bn.a	$2852$	$1$	2852.bn	2852.an	$30$	$24$	$3$	$1.423$	\(\Q(\zeta_{45})\)	$D_{90}$	\(\Q(\sqrt{-23}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{90}^{29}q^{2}+(-\zeta_{90}^{2}+\zeta_{90}^{19})q^{3}+\cdots\)
2852.1.bn.b	$2852$	$1$	2852.bn	2852.an	$30$	$24$	$3$	$1.423$	\(\Q(\zeta_{45})\)	$D_{90}$	\(\Q(\sqrt{-23}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{90}^{10}q^{2}+(\zeta_{90}^{22}+\zeta_{90}^{26})q^{3}+\cdots\)
2896.1.eb.a	$2896$	$1$	2896.eb	724.af	$90$	$24$	$1$	$1.445$	\(\Q(\zeta_{45})\)	$D_{90}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{90}^{26}+\zeta_{90}^{40})q^{5}-\zeta_{90}^{11}q^{9}+\cdots\)
3441.1.gq.a	$3441$	$1$	3441.gq	3441.fq	$90$	$24$	$1$	$1.717$	\(\Q(\zeta_{45})\)	$D_{90}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(6\)	$1$		\(q+\zeta_{90}^{8}q^{3}-\zeta_{90}^{14}q^{4}+(-\zeta_{90}^{36}+\cdots)q^{7}+\cdots\)
3441.1.gx.a	$3441$	$1$	3441.gx	3441.fx	$90$	$24$	$1$	$1.717$	\(\Q(\zeta_{45})\)	$D_{90}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-3\)	$1$		\(q+\zeta_{90}^{32}q^{3}+\zeta_{90}^{41}q^{4}+(\zeta_{90}^{33}+\cdots)q^{7}+\cdots\)
3477.1.gk.a	$3477$	$1$	3477.gk	3477.fk	$90$	$24$	$1$	$1.735$	\(\Q(\zeta_{45})\)	$D_{90}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{90}^{44}q^{3}-\zeta_{90}^{28}q^{4}+(\zeta_{90}^{5}-\zeta_{90}^{7}+\cdots)q^{7}+\cdots\)
3477.1.gw.a	$3477$	$1$	3477.gw	3477.fw	$90$	$24$	$1$	$1.735$	\(\Q(\zeta_{45})\)	$D_{90}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{90}^{43}q^{3}+\zeta_{90}^{41}q^{4}+(-\zeta_{90}^{20}+\cdots)q^{7}+\cdots\)
3620.1.ed.a	$3620$	$1$	3620.ed	3620.dd	$90$	$24$	$1$	$1.807$	\(\Q(\zeta_{45})\)	$D_{90}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{90}^{31}q^{2}-\zeta_{90}^{17}q^{4}+\zeta_{90}^{37}q^{5}+\cdots\)
3620.1.ed.b	$3620$	$1$	3620.ed	3620.dd	$90$	$24$	$1$	$1.807$	\(\Q(\zeta_{45})\)	$D_{90}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{90}^{31}q^{2}-\zeta_{90}^{17}q^{4}+\zeta_{90}^{5}q^{5}+\cdots\)
3620.1.ed.c	$3620$	$1$	3620.ed	3620.dd	$90$	$48$	$2$	$1.807$	\(\Q(\zeta_{180})\)	$D_{90}$	\(\Q(\sqrt{-5}) \)	None		$8$	$0$	\(0\)	\(0\)	\(-6\)	\(0\)	$1$		\(q+\zeta_{180}^{59}q^{2}+(-\zeta_{180}^{13}+\zeta_{180}^{25}+\cdots)q^{3}+\cdots\)
3700.1.dy.a	$3700$	$1$	3700.dy	3700.cy	$90$	$24$	$1$	$1.847$	\(\Q(\zeta_{45})\)	$D_{90}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(-3\)	\(0\)	$1$		\(q-\zeta_{90}^{2}q^{2}+\zeta_{90}^{4}q^{4}+\zeta_{90}^{21}q^{5}+\cdots\)
3700.1.dy.b	$3700$	$1$	3700.dy	3700.cy	$90$	$24$	$1$	$1.847$	\(\Q(\zeta_{45})\)	$D_{90}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{90}^{2}q^{2}+\zeta_{90}^{4}q^{4}+\zeta_{90}^{26}q^{5}+\cdots\)
3787.1.dp.a	$3787$	$1$	3787.dp	3787.cp	$90$	$24$	$1$	$1.890$	\(\Q(\zeta_{45})\)	$D_{90}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(6\)	\(0\)	\(0\)	\(3\)	$1$		\(q+(\zeta_{90}^{2}+\zeta_{90}^{9})q^{2}+(\zeta_{90}^{4}+\zeta_{90}^{11}+\cdots)q^{4}+\cdots\)
3801.1.gn.a	$3801$	$1$	3801.gn	3801.fn	$90$	$24$	$1$	$1.897$	\(\Q(\zeta_{45})\)	$D_{90}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(6\)	$1$		\(q-\zeta_{90}^{16}q^{3}+\zeta_{90}^{7}q^{4}+\zeta_{90}^{27}q^{7}+\cdots\)
3801.1.gx.a	$3801$	$1$	3801.gx	3801.fx	$90$	$24$	$1$	$1.897$	\(\Q(\zeta_{45})\)	$D_{90}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(3\)	$1$		\(q+\zeta_{90}^{17}q^{3}-\zeta_{90}^{44}q^{4}-\zeta_{90}^{21}q^{7}+\cdots\)