Newform search results

Results (24 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
791.1.bf.a	$791$	$1$	791.bf	791.af	$56$	$24$	$1$	$0.395$	\(\Q(\zeta_{56})\)	$D_{56}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)	$1$		\(q+(-\zeta_{56}^{21}+\zeta_{56}^{27})q^{2}+(-\zeta_{56}^{14}+\cdots)q^{4}+\cdots\)
904.1.bi.a	$904$	$1$	904.bi	904.ai	$56$	$24$	$1$	$0.451$	\(\Q(\zeta_{56})\)	$D_{56}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{56}^{22}q^{2}+(\zeta_{56}^{2}-\zeta_{56}^{25})q^{3}+\cdots\)
1011.1.bf.a	$1011$	$1$	1011.bf	1011.af	$56$	$24$	$1$	$0.505$	\(\Q(\zeta_{56})\)	$D_{56}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(4\)	$1$		\(q-\zeta_{56}^{15}q^{3}+\zeta_{56}^{8}q^{4}+(\zeta_{56}^{6}-\zeta_{56}^{16}+\cdots)q^{7}+\cdots\)
1243.1.z.a	$1243$	$1$	1243.z	1243.z	$56$	$24$	$1$	$0.620$	\(\Q(\zeta_{56})\)	$D_{56}$	\(\Q(\sqrt{-11}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{56}^{2}-\zeta_{56}^{23})q^{3}+\zeta_{56}^{20}q^{4}+\cdots\)
1695.1.cl.a	$1695$	$1$	1695.cl	1695.bl	$56$	$48$	$2$	$0.846$	\(\Q(\zeta_{112})\)	$D_{56}$	\(\Q(\sqrt{-15}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{112}^{7}+\zeta_{112}^{33})q^{2}-\zeta_{112}^{39}q^{3}+\cdots\)
1796.1.s.a	$1796$	$1$	1796.s	1796.s	$56$	$24$	$1$	$0.896$	\(\Q(\zeta_{56})\)	$D_{56}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{56}q^{2}+\zeta_{56}^{2}q^{4}+(\zeta_{56}-\zeta_{56}^{11}+\cdots)q^{5}+\cdots\)
1808.1.ck.a	$1808$	$1$	1808.ck	452.r	$56$	$24$	$1$	$0.902$	\(\Q(\zeta_{56})\)	$D_{56}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{56}^{25}+\zeta_{56}^{26})q^{5}+\zeta_{56}^{5}q^{9}+\cdots\)
1972.1.cj.a	$1972$	$1$	1972.cj	1972.bj	$56$	$24$	$1$	$0.984$	\(\Q(\zeta_{56})\)	$D_{56}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{56}^{19}q^{2}-\zeta_{56}^{10}q^{4}+(\zeta_{56}^{6}+\zeta_{56}^{25}+\cdots)q^{5}+\cdots\)
1972.1.cj.b	$1972$	$1$	1972.cj	1972.bj	$56$	$24$	$1$	$0.984$	\(\Q(\zeta_{56})\)	$D_{56}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{56}^{19}q^{2}-\zeta_{56}^{10}q^{4}+(-\zeta_{56}^{13}+\cdots)q^{5}+\cdots\)
2019.1.bg.a	$2019$	$1$	2019.bg	2019.ag	$56$	$24$	$1$	$1.008$	\(\Q(\zeta_{56})\)	$D_{56}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{56}^{6}q^{3}-\zeta_{56}^{14}q^{4}+(-\zeta_{56}^{13}+\cdots)q^{7}+\cdots\)
2260.1.ce.a	$2260$	$1$	2260.ce	2260.be	$56$	$24$	$1$	$1.128$	\(\Q(\zeta_{56})\)	$D_{56}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-4\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{56}^{12}q^{2}+\zeta_{56}^{24}q^{4}-\zeta_{56}^{2}q^{5}+\cdots\)
2260.1.ce.b	$2260$	$1$	2260.ce	2260.be	$56$	$24$	$1$	$1.128$	\(\Q(\zeta_{56})\)	$D_{56}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(4\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{56}^{12}q^{2}+\zeta_{56}^{24}q^{4}+\zeta_{56}^{17}q^{5}+\cdots\)
2272.1.p.b	$2272$	$1$	2272.p	2272.p	$8$	$24$	$6$	$1.134$	\(\Q(\zeta_{56})\)	$D_{56}$	\(\Q(\sqrt{-71}) \)	None		$4$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)	$1$		\(q+\zeta_{56}^{11}q^{2}+(-\zeta_{56}^{2}+\zeta_{56}^{5})q^{3}+\cdots\)
2359.1.cv.a	$2359$	$1$	2359.cv	2359.bv	$56$	$24$	$1$	$1.177$	\(\Q(\zeta_{56})\)	$D_{56}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{56}-\zeta_{56}^{11})q^{2}+(\zeta_{56}^{2}-\zeta_{56}^{12}+\cdots)q^{4}+\cdots\)
2567.1.m.b	$2567$	$1$	2567.m	2567.m	$8$	$24$	$6$	$1.281$	\(\Q(\zeta_{56})\)	$D_{56}$	\(\Q(\sqrt{-151}) \)	None		$4$	$0$	\(4\)	\(0\)	\(-4\)	\(0\)	$1$		\(q+(\zeta_{56}^{4}-\zeta_{56}^{10})q^{2}+(\zeta_{56}^{8}-\zeta_{56}^{14}+\cdots)q^{4}+\cdots\)
2692.1.bg.a	$2692$	$1$	2692.bg	2692.ag	$56$	$24$	$1$	$1.343$	\(\Q(\zeta_{56})\)	$D_{56}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)	$1$		\(q+\zeta_{56}^{21}q^{2}-\zeta_{56}^{14}q^{4}+(-\zeta_{56}^{12}+\cdots)q^{5}+\cdots\)
2696.1.ck.a	$2696$	$1$	2696.ck	2696.bk	$56$	$24$	$1$	$1.345$	\(\Q(\zeta_{56})\)	$D_{56}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(4\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{56}^{12}q^{2}+(\zeta_{56}^{13}-\zeta_{56}^{21})q^{3}+\cdots\)
3027.1.bl.a	$3027$	$1$	3027.bl	3027.al	$56$	$24$	$1$	$1.511$	\(\Q(\zeta_{56})\)	$D_{56}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{56}^{9}q^{3}+\zeta_{56}^{18}q^{4}+(-\zeta_{56}^{15}+\cdots)q^{7}+\cdots\)
3143.1.bh.a	$3143$	$1$	3143.bh	3143.ah	$56$	$24$	$1$	$1.569$	\(\Q(\zeta_{56})\)	$D_{56}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(4\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{56}^{12}-\zeta_{56}^{26})q^{2}+\zeta_{56}^{10}q^{4}+\cdots\)
3219.1.bt.a	$3219$	$1$	3219.bt	3219.at	$14$	$48$	$8$	$1.606$	\(\Q(\zeta_{112})\)	$D_{56}$	\(\Q(\sqrt{-111}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{112}^{25}-\zeta_{112}^{55})q^{2}+\zeta_{112}^{4}q^{3}+\cdots\)
3503.1.bs.a	$3503$	$1$	3503.bs	3503.as	$56$	$24$	$1$	$1.748$	\(\Q(\zeta_{56})\)	$D_{56}$	\(\Q(\sqrt{-31}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{56}^{15}+\zeta_{56}^{25})q^{2}+(-\zeta_{56}^{2}+\cdots)q^{4}+\cdots\)
3592.1.bm.a	$3592$	$1$	3592.bm	3592.am	$56$	$24$	$1$	$1.793$	\(\Q(\zeta_{56})\)	$D_{56}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{56}^{13}q^{2}+(-\zeta_{56}^{6}-\zeta_{56}^{21})q^{3}+\cdots\)
3616.1.dv.a	$3616$	$1$	3616.dv	904.ai	$56$	$24$	$1$	$1.805$	\(\Q(\zeta_{56})\)	$D_{56}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{56}^{15}+\zeta_{56}^{18})q^{3}+(-\zeta_{56}^{2}+\cdots)q^{9}+\cdots\)
3791.1.l.b	$3791$	$1$	3791.l	3791.l	$8$	$24$	$6$	$1.892$	\(\Q(\zeta_{56})\)	$D_{56}$	\(\Q(\sqrt{-223}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)	$1$		\(q+(\zeta_{56}^{17}+\zeta_{56}^{25})q^{2}+(-\zeta_{56}^{6}-\zeta_{56}^{14}+\cdots)q^{4}+\cdots\)