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Level	Weight	Analytic conductor	$Nk^2$	Dim.

Bad $p$	Char.	Primitive character	Character order	Coefficient field

Self-twists	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank

Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
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Results (1-50 of 121 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Coefficient ring index	Sato-Tate	$q$-expansion
9.53.d.a	$9$	$53$	9.d	9.d	$6$	$102$	$51$	$154.129$		None		$2$	$0$	$-3$	$290514727437$	$-13\!\cdots\!12$	$-16\!\cdots\!28$		$\mathrm{SU}(2)[C_{6}]$
9.54.c.a	$9$	$54$	9.c	9.c	$3$	$104$	$52$	$160.113$		None		$2$	$0$	$67108863$	$-14\!\cdots\!52$	$23\!\cdots\!78$	$-75\!\cdots\!32$		$\mathrm{SU}(2)[C_{3}]$
9.55.d.a	$9$	$55$	9.d	9.d	$6$	$106$	$53$	$166.211$		None		$2$	$0$	$-3$	$-57\!\cdots\!16$	$12\!\cdots\!81$	$18\!\cdots\!19$		$\mathrm{SU}(2)[C_{6}]$
9.56.c.a	$9$	$56$	9.c	9.c	$3$	$108$	$54$	$172.423$		None		$2$	$0$	$-134217729$	$14\!\cdots\!64$	$-24\!\cdots\!80$	$34\!\cdots\!96$		$\mathrm{SU}(2)[C_{3}]$
9.57.d.a	$9$	$57$	9.d	9.d	$6$	$110$	$55$	$178.750$		None		$2$	$0$	$-3$	$10\!\cdots\!87$	$22\!\cdots\!38$	$-16\!\cdots\!38$		$\mathrm{SU}(2)[C_{6}]$
9.58.c.a	$9$	$58$	9.c	9.c	$3$	$112$	$56$	$185.190$		None		$2$	$0$	$268435455$	$-37\!\cdots\!63$	$98\!\cdots\!53$	$-73\!\cdots\!43$		$\mathrm{SU}(2)[C_{3}]$
9.59.d.a	$9$	$59$	9.d	9.d	$6$	$114$	$57$	$191.744$		None		$2$	$0$	$-3$	$44\!\cdots\!31$	$-32\!\cdots\!44$	$12\!\cdots\!00$		$\mathrm{SU}(2)[C_{6}]$
9.60.c.a	$9$	$60$	9.c	9.c	$3$	$116$	$58$	$198.412$		None		$2$	$0$	$-536870913$	$-15\!\cdots\!52$	$-16\!\cdots\!30$	$-72\!\cdots\!08$		$\mathrm{SU}(2)[C_{3}]$
9.61.d.a	$9$	$61$	9.d	9.d	$6$	$118$	$59$	$205.194$		None		$2$	$0$	$-3$	$17\!\cdots\!98$	$-22\!\cdots\!87$	$-79\!\cdots\!01$		$\mathrm{SU}(2)[C_{6}]$
9.62.c.a	$9$	$62$	9.c	9.c	$3$	$120$	$60$	$212.091$		None		$2$	$0$	$1073741823$	$36\!\cdots\!48$	$10\!\cdots\!28$	$12\!\cdots\!48$		$\mathrm{SU}(2)[C_{3}]$
9.63.d.a	$9$	$63$	9.d	9.d	$6$	$122$	$61$	$219.101$		None		$2$	$0$	$-3$	$-43\!\cdots\!99$	$84\!\cdots\!06$	$42\!\cdots\!50$		$\mathrm{SU}(2)[C_{6}]$
9.64.c.a	$9$	$64$	9.c	9.c	$3$	$124$	$62$	$226.225$		None		$2$	$0$	$-2147483649$	$-95\!\cdots\!55$	$-13\!\cdots\!55$	$-13\!\cdots\!95$		$\mathrm{SU}(2)[C_{3}]$
9.65.d.a	$9$	$65$	9.d	9.d	$6$	$126$	$63$	$233.463$		None		$2$	$0$	$-3$	$14\!\cdots\!89$	$-26\!\cdots\!12$	$-16\!\cdots\!64$		$\mathrm{SU}(2)[C_{6}]$
9.66.c.a	$9$	$66$	9.c	9.c	$3$	$128$	$64$	$240.815$		None		$2$	$0$	$4294967295$	$37\!\cdots\!60$	$71\!\cdots\!78$	$11\!\cdots\!20$		$\mathrm{SU}(2)[C_{3}]$
9.67.d.a	$9$	$67$	9.d	9.d	$6$	$130$	$65$	$248.281$		None		$2$	$0$	$-3$	$68\!\cdots\!04$	$-20\!\cdots\!19$	$53\!\cdots\!19$		$\mathrm{SU}(2)[C_{6}]$
9.68.c.a	$9$	$68$	9.c	9.c	$3$	$132$	$66$	$255.861$		None		$2$	$0$	$-8589934593$	$21\!\cdots\!48$	$-14\!\cdots\!80$	$-77\!\cdots\!68$		$\mathrm{SU}(2)[C_{3}]$
9.69.d.a	$9$	$69$	9.d	9.d	$6$	$134$	$67$	$263.555$		None		$2$	$0$	$-3$	$-18\!\cdots\!81$	$27\!\cdots\!38$	$73\!\cdots\!26$		$\mathrm{SU}(2)[C_{6}]$
7.79.d.a	$7$	$79$	7.d	7.d	$6$	$102$	$51$	$269.706$		None		$2$	$0$	$36398604964$	$-3$	$-23\!\cdots\!15$	$-22\!\cdots\!66$		$\mathrm{SU}(2)[C_{6}]$
9.70.c.a	$9$	$70$	9.c	9.c	$3$	$136$	$68$	$271.363$		None		$2$	$0$	$17179869183$	$48\!\cdots\!01$	$46\!\cdots\!53$	$46\!\cdots\!41$		$\mathrm{SU}(2)[C_{3}]$
7.80.c.a	$7$	$80$	7.c	7.c	$3$	$104$	$52$	$276.666$		None		$2$	$0$	$565842391206$	$-40\!\cdots\!68$	$-26\!\cdots\!92$	$-17\!\cdots\!08$		$\mathrm{SU}(2)[C_{3}]$
9.71.d.a	$9$	$71$	9.d	9.d	$6$	$138$	$69$	$279.286$		None		$2$	$0$	$-3$	$57\!\cdots\!07$	$49\!\cdots\!56$	$-98\!\cdots\!32$		$\mathrm{SU}(2)[C_{6}]$
7.81.d.a	$7$	$81$	7.d	7.d	$6$	$104$	$52$	$283.714$		None		$2$	$0$	$493045181276$	$-12\!\cdots\!04$	$90\!\cdots\!80$	$26\!\cdots\!20$		$\mathrm{SU}(2)[C_{6}]$
9.72.c.a	$9$	$72$	9.c	9.c	$3$	$140$	$70$	$287.322$		None		$2$	$0$	$-34359738369$	$-39\!\cdots\!36$	$-72\!\cdots\!30$	$-22\!\cdots\!64$		$\mathrm{SU}(2)[C_{3}]$
7.82.c.a	$7$	$82$	7.c	7.c	$3$	$106$	$53$	$290.851$		None		$2$	$0$	$-638639601138$	$24\!\cdots\!01$	$10\!\cdots\!93$	$49\!\cdots\!64$		$\mathrm{SU}(2)[C_{3}]$
9.73.d.a	$9$	$73$	9.d	9.d	$6$	$142$	$71$	$295.472$		None		$2$	$0$	$-3$	$-36\!\cdots\!02$	$-11\!\cdots\!87$	$91\!\cdots\!79$		$\mathrm{SU}(2)[C_{6}]$
7.83.d.a	$7$	$83$	7.d	7.d	$6$	$108$	$54$	$298.076$		None		$2$	$0$	$-16\!\cdots\!92$	$-36\!\cdots\!06$	$-21\!\cdots\!50$	$40\!\cdots\!08$		$\mathrm{SU}(2)[C_{6}]$
9.74.c.a	$9$	$74$	9.c	9.c	$3$	$144$	$72$	$303.736$		None		$2$	$0$	$68719476735$	$-20\!\cdots\!20$	$48\!\cdots\!28$	$68\!\cdots\!60$		$\mathrm{SU}(2)[C_{3}]$
7.84.c.a	$7$	$84$	7.c	7.c	$3$	$108$	$54$	$305.390$		None		$2$	$0$	$-347450761418$	$-36\!\cdots\!04$	$-44\!\cdots\!22$	$-17\!\cdots\!84$		$\mathrm{SU}(2)[C_{3}]$
9.75.d.a	$9$	$75$	9.d	9.d	$6$	$146$	$73$	$312.114$		None		$2$	$0$	$-3$	$-23\!\cdots\!63$	$-11\!\cdots\!94$	$-71\!\cdots\!22$		$\mathrm{SU}(2)[C_{6}]$
7.85.d.a	$7$	$85$	7.d	7.d	$6$	$110$	$55$	$312.793$		None		$2$	$0$	$29\!\cdots\!64$	$-3$	$-29\!\cdots\!55$	$-35\!\cdots\!42$		$\mathrm{SU}(2)[C_{6}]$
7.86.c.a	$7$	$86$	7.c	7.c	$3$	$112$	$56$	$320.285$		None		$2$	$0$	$35\!\cdots\!98$	$10\!\cdots\!08$	$23\!\cdots\!88$	$45\!\cdots\!32$		$\mathrm{SU}(2)[C_{3}]$
9.76.c.a	$9$	$76$	9.c	9.c	$3$	$148$	$74$	$320.606$		None		$2$	$0$	$-137438953473$	$78\!\cdots\!37$	$-12\!\cdots\!55$	$23\!\cdots\!93$		$\mathrm{SU}(2)[C_{3}]$
7.87.d.a	$7$	$87$	7.d	7.d	$6$	$112$	$56$	$327.865$		None		$2$	$0$	$-22\!\cdots\!32$	$32\!\cdots\!24$	$81\!\cdots\!40$	$68\!\cdots\!88$		$\mathrm{SU}(2)[C_{6}]$
9.77.d.a	$9$	$77$	9.d	9.d	$6$	$150$	$75$	$329.212$		None		$2$	$0$	$-3$	$53\!\cdots\!57$	$40\!\cdots\!88$	$47\!\cdots\!52$		$\mathrm{SU}(2)[C_{6}]$
7.88.c.a	$7$	$88$	7.c	7.c	$3$	$114$	$57$	$335.534$		None		$2$	$0$	$-94\!\cdots\!30$	$-65\!\cdots\!55$	$-14\!\cdots\!27$	$-38\!\cdots\!40$		$\mathrm{SU}(2)[C_{3}]$
9.78.c.a	$9$	$78$	9.c	9.c	$3$	$152$	$76$	$337.931$		None		$2$	$0$	$274877906943$	$-27\!\cdots\!72$	$23\!\cdots\!78$	$-63\!\cdots\!12$		$\mathrm{SU}(2)[C_{3}]$
5.105.c.a	$5$	$105$	5.c	5.c	$4$	$102$	$51$	$342.476$		None		$2$	$0$	$-2$	$63\!\cdots\!88$	$-39\!\cdots\!60$	$-84\!\cdots\!52$		$\mathrm{SU}(2)[C_{4}]$
7.89.d.a	$7$	$89$	7.d	7.d	$6$	$116$	$58$	$343.291$		None		$2$	$0$	$-49\!\cdots\!68$	$98\!\cdots\!78$	$-65\!\cdots\!90$	$-11\!\cdots\!84$		$\mathrm{SU}(2)[C_{6}]$
9.79.d.a	$9$	$79$	9.d	9.d	$6$	$154$	$77$	$346.765$		None		$2$	$0$	$-3$	$37\!\cdots\!64$	$23\!\cdots\!81$	$-26\!\cdots\!61$		$\mathrm{SU}(2)[C_{6}]$
7.90.c.a	$7$	$90$	7.c	7.c	$3$	$116$	$58$	$351.137$		None		$2$	$0$	$13\!\cdots\!90$	$98\!\cdots\!80$	$93\!\cdots\!58$	$-31\!\cdots\!00$		$\mathrm{SU}(2)[C_{3}]$
9.80.c.a	$9$	$80$	9.c	9.c	$3$	$156$	$78$	$355.713$		None		$2$	$0$	$-549755813889$	$21\!\cdots\!84$	$-35\!\cdots\!80$	$71\!\cdots\!36$		$\mathrm{SU}(2)[C_{3}]$
5.107.c.a	$5$	$107$	5.c	5.c	$4$	$104$	$52$	$355.775$		None		$2$	$0$	$90\!\cdots\!90$	$-85\!\cdots\!20$	$-39\!\cdots\!20$	$-73\!\cdots\!00$		$\mathrm{SU}(2)[C_{4}]$
7.91.d.a	$7$	$91$	7.d	7.d	$6$	$118$	$59$	$359.072$		None		$2$	$0$	$23\!\cdots\!24$	$-3$	$38\!\cdots\!05$	$23\!\cdots\!74$		$\mathrm{SU}(2)[C_{6}]$
9.81.d.a	$9$	$81$	9.d	9.d	$6$	$158$	$79$	$364.775$		None		$2$	$0$	$-3$	$-92\!\cdots\!73$	$-12\!\cdots\!62$	$11\!\cdots\!82$		$\mathrm{SU}(2)[C_{6}]$
7.92.c.a	$7$	$92$	7.c	7.c	$3$	$120$	$60$	$367.095$		None		$2$	$0$	$-38\!\cdots\!58$	$-29\!\cdots\!44$	$-59\!\cdots\!32$	$28\!\cdots\!76$		$\mathrm{SU}(2)[C_{3}]$
5.109.c.a	$5$	$109$	5.c	5.c	$4$	$106$	$53$	$369.326$		None		$2$	$0$	$-2$	$-14\!\cdots\!22$	$-46\!\cdots\!30$	$90\!\cdots\!98$		$\mathrm{SU}(2)[C_{4}]$
9.82.c.a	$9$	$82$	9.c	9.c	$3$	$160$	$80$	$373.951$		None		$2$	$0$	$10\!\cdots\!75$	$15\!\cdots\!57$	$30\!\cdots\!53$	$-61\!\cdots\!43$		$\mathrm{SU}(2)[C_{3}]$
7.93.d.a	$7$	$93$	7.d	7.d	$6$	$120$	$60$	$375.207$		None		$2$	$0$	$-51\!\cdots\!08$	$-88\!\cdots\!32$	$-18\!\cdots\!00$	$-14\!\cdots\!84$		$\mathrm{SU}(2)[C_{6}]$
5.111.c.a	$5$	$111$	5.c	5.c	$4$	$108$	$54$	$383.131$		None		$2$	$0$	$-36\!\cdots\!70$	$15\!\cdots\!60$	$26\!\cdots\!60$	$-39\!\cdots\!00$		$\mathrm{SU}(2)[C_{4}]$
9.83.d.a	$9$	$83$	9.d	9.d	$6$	$162$	$81$	$383.241$		None		$2$	$0$	$-3$	$-25\!\cdots\!29$	$-46\!\cdots\!44$	$-20\!\cdots\!40$		$\mathrm{SU}(2)[C_{6}]$

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.