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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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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
253.2.n.a	$253$	$2$	253.n	253.n	$110$	$880$	$22$	$2.020$		None		$4$	$0$	$-45$	$-29$	$-33$	$-55$		$\mathrm{SU}(2)[C_{110}]$
257.2.h.a	$257$	$2$	257.h	257.h	$128$	$1344$	$21$	$2.052$		None		$2$	$0$	$-64$	$-64$	$-64$	$-64$		$\mathrm{SU}(2)[C_{128}]$
263.2.c.a	$263$	$2$	263.c	263.c	$131$	$2730$	$21$	$2.100$		None		$2$	$0$	$-127$	$-129$	$-125$	$-125$		$\mathrm{SU}(2)[C_{131}]$
269.2.e.a	$269$	$2$	269.e	269.e	$134$	$1452$	$22$	$2.148$		None		$2$	$0$	$-67$	$-67$	$-67$	$-67$		$\mathrm{SU}(2)[C_{134}]$
271.2.o.a	$271$	$2$	271.o	271.o	$135$	$1584$	$22$	$2.164$		None		$2$	$0$	$-72$	$-90$	$-72$	$-72$		$\mathrm{SU}(2)[C_{135}]$
277.2.k.a	$277$	$2$	277.k	277.k	$138$	$1012$	$23$	$2.212$		None		$2$	$0$	$-46$	$-44$	$-40$	$-50$		$\mathrm{SU}(2)[C_{138}]$
281.2.o.a	$281$	$2$	281.o	281.o	$140$	$1104$	$23$	$2.244$		None		$2$	$0$	$-58$	$-56$	$-46$	$-60$		$\mathrm{SU}(2)[C_{140}]$
283.2.g.a	$283$	$2$	283.g	283.g	$141$	$2116$	$23$	$2.260$		None		$2$	$0$	$-88$	$-93$	$-97$	$-96$		$\mathrm{SU}(2)[C_{141}]$
287.2.be.a	$287$	$2$	287.be	287.ae	$120$	$832$	$26$	$2.292$		None		$4$	$0$	$-16$	$-48$	$-48$	$-32$		$\mathrm{SU}(2)[C_{120}]$
289.2.i.a	$289$	$2$	289.i	289.i	$136$	$1600$	$25$	$2.308$		None		$2$	$0$	$-64$	$-64$	$-68$	$-64$		$\mathrm{SU}(2)[C_{136}]$
293.2.e.a	$293$	$2$	293.e	293.e	$146$	$1728$	$24$	$2.340$		None		$2$	$0$	$-73$	$-73$	$-73$	$-73$		$\mathrm{SU}(2)[C_{146}]$
295.2.l.a	$295$	$2$	295.l	295.l	$116$	$1568$	$28$	$2.356$		None		$4$	$0$	$-58$	$-50$	$-54$	$-46$		$\mathrm{SU}(2)[C_{116}]$
299.2.x.a	$299$	$2$	299.x	299.x	$132$	$1040$	$26$	$2.388$		None		$4$	$0$	$-36$	$-18$	$-44$	$-44$		$\mathrm{SU}(2)[C_{132}]$
307.2.k.a	$307$	$2$	307.k	307.k	$153$	$2400$	$25$	$2.451$		None		$2$	$0$	$-102$	$-84$	$-96$	$-96$		$\mathrm{SU}(2)[C_{153}]$
309.2.o.b	$309$	$2$	309.o	309.o	$102$	$1024$	$32$	$2.467$		None		$4$	$0$	$0$	$-34$	$0$	$-66$		$\mathrm{SU}(2)[C_{102}]$
311.2.g.a	$311$	$2$	311.g	311.g	$155$	$3000$	$25$	$2.483$		None		$2$	$0$	$-121$	$-123$	$-115$	$-118$		$\mathrm{SU}(2)[C_{155}]$
313.2.o.a	$313$	$2$	313.o	313.o	$156$	$1248$	$26$	$2.499$		None		$2$	$0$	$-46$	$-48$	$-58$	$-44$		$\mathrm{SU}(2)[C_{156}]$
317.2.e.a	$317$	$2$	317.e	317.e	$158$	$2028$	$26$	$2.531$		None		$2$	$0$	$-79$	$-79$	$-79$	$-71$		$\mathrm{SU}(2)[C_{158}]$
319.2.x.a	$319$	$2$	319.x	319.x	$140$	$1344$	$28$	$2.547$		None		$4$	$0$	$-60$	$-36$	$-42$	$-50$		$\mathrm{SU}(2)[C_{140}]$
321.2.f.a	$321$	$2$	321.f	321.f	$106$	$1768$	$34$	$2.563$		None		$4$	$0$	$0$	$-49$	$0$	$-106$		$\mathrm{SU}(2)[C_{106}]$
323.2.bc.a	$323$	$2$	323.bc	323.ac	$144$	$1344$	$28$	$2.579$		None		$4$	$0$	$-48$	$-48$	$-48$	$-24$		$\mathrm{SU}(2)[C_{144}]$
327.2.w.b	$327$	$2$	327.w	327.w	$108$	$1224$	$34$	$2.611$		None		$4$	$0$	$0$	$-36$	$0$	$-72$		$\mathrm{SU}(2)[C_{108}]$
329.2.o.a	$329$	$2$	329.o	329.o	$138$	$1320$	$30$	$2.627$		None		$4$	$0$	$-21$	$-63$	$-69$	$-40$		$\mathrm{SU}(2)[C_{138}]$
331.2.o.a	$331$	$2$	331.o	331.o	$165$	$2160$	$27$	$2.643$		None		$2$	$0$	$-101$	$-70$	$-80$	$-83$		$\mathrm{SU}(2)[C_{165}]$
335.2.w.a	$335$	$2$	335.w	335.w	$132$	$1280$	$32$	$2.675$		None		$4$	$0$	$-38$	$-44$	$-44$	$-38$		$\mathrm{SU}(2)[C_{132}]$
337.2.s.a	$337$	$2$	337.s	337.s	$168$	$1344$	$28$	$2.691$		None		$2$	$0$	$-48$	$-48$	$-40$	$-52$		$\mathrm{SU}(2)[C_{168}]$
339.2.s.a	$339$	$2$	339.s	339.s	$112$	$1728$	$36$	$2.707$		None		$4$	$0$	$0$	$-48$	$0$	$-112$		$\mathrm{SU}(2)[C_{112}]$
343.2.k.a	$343$	$2$	343.k	343.k	$147$	$2688$	$32$	$2.739$		None		$2$	$0$	$-84$	$-84$	$-84$	$-84$		$\mathrm{SU}(2)[C_{147}]$
347.2.c.a	$347$	$2$	347.c	347.c	$173$	$4816$	$28$	$2.771$		None		$2$	$0$	$-168$	$-169$	$-167$	$-163$		$\mathrm{SU}(2)[C_{173}]$
349.2.k.a	$349$	$2$	349.k	349.k	$174$	$1624$	$29$	$2.787$		None		$2$	$0$	$-55$	$-58$	$-60$	$-58$		$\mathrm{SU}(2)[C_{174}]$
353.2.k.a	$353$	$2$	353.k	353.k	$176$	$2320$	$29$	$2.819$		None		$2$	$0$	$-80$	$-80$	$-80$	$-80$		$\mathrm{SU}(2)[C_{176}]$
355.2.w.a	$355$	$2$	355.w	355.w	$140$	$1632$	$34$	$2.835$		None		$4$	$0$	$-50$	$-60$	$-36$	$-46$		$\mathrm{SU}(2)[C_{140}]$
359.2.c.a	$359$	$2$	359.c	359.c	$179$	$5162$	$29$	$2.867$		None		$2$	$0$	$-175$	$-177$	$-175$	$-173$		$\mathrm{SU}(2)[C_{179}]$
361.2.k.a	$361$	$2$	361.k	361.k	$171$	$3348$	$31$	$2.883$		None		$2$	$0$	$-108$	$-111$	$-108$	$-111$		$\mathrm{SU}(2)[C_{171}]$
363.2.p.a	$363$	$2$	363.p	363.p	$110$	$1680$	$42$	$2.899$		None		$4$	$0$	$0$	$-28$	$0$	$-78$		$\mathrm{SU}(2)[C_{110}]$
367.2.g.a	$367$	$2$	367.g	367.g	$183$	$3600$	$30$	$2.931$		None		$2$	$0$	$-121$	$-118$	$-112$	$-128$		$\mathrm{SU}(2)[C_{183}]$
369.2.bf.a	$369$	$2$	369.bf	369.af	$120$	$1280$	$40$	$2.946$		None		$4$	$0$	$-48$	$-36$	$-48$	$-16$		$\mathrm{SU}(2)[C_{120}]$
371.2.w.a	$371$	$2$	371.w	371.w	$156$	$1632$	$34$	$2.962$		None		$4$	$0$	$-26$	$-72$	$-72$	$-52$		$\mathrm{SU}(2)[C_{156}]$
373.2.k.a	$373$	$2$	373.k	373.k	$186$	$1860$	$31$	$2.978$		None		$2$	$0$	$-56$	$-62$	$-59$	$-58$		$\mathrm{SU}(2)[C_{186}]$
379.2.o.a	$379$	$2$	379.o	379.o	$189$	$3348$	$31$	$3.026$		None		$2$	$0$	$-108$	$-90$	$-117$	$-108$		$\mathrm{SU}(2)[C_{189}]$
381.2.x.b	$381$	$2$	381.x	381.x	$126$	$1440$	$40$	$3.042$		None		$4$	$0$	$0$	$-36$	$0$	$-78$		$\mathrm{SU}(2)[C_{126}]$
383.2.c.a	$383$	$2$	383.c	383.c	$191$	$5890$	$31$	$3.058$		None		$2$	$0$	$-189$	$-187$	$-185$	$-189$		$\mathrm{SU}(2)[C_{191}]$
389.2.e.a	$389$	$2$	389.e	389.e	$194$	$3072$	$32$	$3.106$		None		$2$	$0$	$-97$	$-97$	$-95$	$-103$		$\mathrm{SU}(2)[C_{194}]$
391.2.s.a	$391$	$2$	391.s	391.s	$176$	$2720$	$34$	$3.122$		None		$4$	$0$	$-72$	$-72$	$-88$	$-88$		$\mathrm{SU}(2)[C_{176}]$
393.2.p.a	$393$	$2$	393.p	393.p	$130$	$2016$	$42$	$3.138$		None		$4$	$0$	$0$	$-51$	$0$	$-94$		$\mathrm{SU}(2)[C_{130}]$
395.2.w.a	$395$	$2$	395.w	395.w	$156$	$1824$	$38$	$3.154$		None		$4$	$0$	$-50$	$-46$	$-50$	$-58$		$\mathrm{SU}(2)[C_{156}]$
397.2.q.a	$397$	$2$	397.q	397.q	$198$	$1980$	$33$	$3.170$		None		$2$	$0$	$-66$	$-57$	$-51$	$-57$		$\mathrm{SU}(2)[C_{198}]$
401.2.n.a	$401$	$2$	401.n	401.n	$200$	$2640$	$33$	$3.202$		None		$2$	$0$	$-80$	$-80$	$-60$	$-80$		$\mathrm{SU}(2)[C_{200}]$
405.2.x.a	$405$	$2$	405.x	405.x	$108$	$1872$	$52$	$3.234$		None		$4$	$0$	$-36$	$-36$	$-36$	$-36$		$\mathrm{SU}(2)[C_{108}]$
407.2.bj.a	$407$	$2$	407.bj	407.aj	$180$	$1728$	$36$	$3.250$		None		$4$	$0$	$-60$	$-36$	$-36$	$-60$		$\mathrm{SU}(2)[C_{180}]$

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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.