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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
167.2.c.a	$167$	$2$	167.c	167.c	$83$	$1066$	$13$	$1.334$		None		$2$	$0$	$-81$	$-81$	$-79$	$-81$		$\mathrm{SU}(2)[C_{83}]$
179.2.c.a	$179$	$2$	179.c	179.c	$89$	$1232$	$14$	$1.429$		None		$2$	$0$	$-84$	$-83$	$-85$	$-81$		$\mathrm{SU}(2)[C_{89}]$
191.2.g.a	$191$	$2$	191.g	191.g	$95$	$1080$	$15$	$1.525$		None		$2$	$0$	$-75$	$-75$	$-52$	$-15$		$\mathrm{SU}(2)[C_{95}]$
223.2.g.a	$223$	$2$	223.g	223.g	$111$	$1296$	$18$	$1.781$		None		$2$	$0$	$-70$	$-73$	$-77$	$-72$		$\mathrm{SU}(2)[C_{111}]$
227.2.c.a	$227$	$2$	227.c	227.c	$113$	$2016$	$18$	$1.813$		None		$2$	$0$	$-110$	$-109$	$-109$	$-107$		$\mathrm{SU}(2)[C_{113}]$
233.2.g.a	$233$	$2$	233.g	233.g	$116$	$1064$	$19$	$1.861$		None		$2$	$0$	$-60$	$-58$	$-60$	$-58$		$\mathrm{SU}(2)[C_{116}]$
239.2.g.a	$239$	$2$	239.g	239.g	$119$	$1824$	$19$	$1.908$		None		$2$	$0$	$-92$	$-97$	$-99$	$-94$		$\mathrm{SU}(2)[C_{119}]$
243.2.i.a	$243$	$2$	243.i	243.i	$81$	$1404$	$26$	$1.940$		None		$2$	$0$	$-54$	$-54$	$-54$	$-54$		$\mathrm{SU}(2)[C_{81}]$
249.2.f.a	$249$	$2$	249.f	249.f	$82$	$1040$	$26$	$1.988$		None		$4$	$0$	$0$	$-41$	$0$	$-82$		$\mathrm{SU}(2)[C_{82}]$
251.2.g.a	$251$	$2$	251.g	251.g	$125$	$2000$	$20$	$2.004$		None		$2$	$0$	$-100$	$-100$	$-100$	$-50$		$\mathrm{SU}(2)[C_{125}]$
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		$2$	$0$	$-127$	$-129$	$-125$	$-125$		$\mathrm{SU}(2)[C_{131}]$
267.2.p.a	$267$	$2$	267.p	267.p	$88$	$1120$	$28$	$2.132$		None		$4$	$0$	$0$	$-36$	$0$	$-80$		$\mathrm{SU}(2)[C_{88}]$
269.2.d.a	$269$	$2$	269.d	269.d	$67$	$1386$	$21$	$2.148$		None		$2$	$0$	$-64$	$-63$	$-57$	$-61$		$\mathrm{SU}(2)[C_{67}]$
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.e.a	$283$	$2$	283.e	283.e	$47$	$1012$	$22$	$2.260$		None		$2$	$0$	$-44$	$-41$	$-41$	$-37$		$\mathrm{SU}(2)[C_{47}]$
283.2.g.a	$283$	$2$	283.g	283.g	$141$	$2116$	$23$	$2.260$		None		$2$	$0$	$-88$	$-93$	$-97$	$-96$		$\mathrm{SU}(2)[C_{141}]$
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.d.a	$293$	$2$	293.d	293.d	$73$	$1656$	$23$	$2.340$		None		$2$	$0$	$-70$	$-71$	$-67$	$-67$		$\mathrm{SU}(2)[C_{73}]$
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		$4$	$0$	$-36$	$-18$	$-44$	$-44$		$\mathrm{SU}(2)[C_{132}]$
303.2.q.a	$303$	$2$	303.q	303.q	$100$	$1280$	$32$	$2.419$		None		$4$	$0$	$0$	$-40$	$0$	$-80$		$\mathrm{SU}(2)[C_{100}]$
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.d.a	$317$	$2$	317.d	317.d	$79$	$1950$	$25$	$2.531$		None		$2$	$0$	$-74$	$-75$	$-71$	$-71$		$\mathrm{SU}(2)[C_{79}]$
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.m.a	$329$	$2$	329.m	329.m	$69$	$1320$	$30$	$2.627$		None		$4$	$0$	$-21$	$-21$	$-23$	$-44$		$\mathrm{SU}(2)[C_{69}]$
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.l.a	$331$	$2$	331.l	331.l	$55$	$1040$	$26$	$2.643$		None		$2$	$0$	$-22$	$-42$	$-43$	$-34$		$\mathrm{SU}(2)[C_{55}]$
331.2.o.a	$331$	$2$	331.o	331.o	$165$	$2160$	$27$	$2.643$		None		$2$	$0$	$-101$	$-70$	$-80$	$-83$		$\mathrm{SU}(2)[C_{165}]$
332.2.h.a	$332$	$2$	332.h	332.h	$82$	$1600$	$40$	$2.651$		None		$4$	$0$	$-41$	$0$	$-82$	$0$		$\mathrm{SU}(2)[C_{82}]$
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.i.a	$343$	$2$	343.i	343.i	$49$	$1302$	$31$	$2.739$		None		$2$	$0$	$-42$	$-42$	$-42$	$-42$		$\mathrm{SU}(2)[C_{49}]$
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.i.a	$349$	$2$	349.i	349.i	$87$	$1568$	$28$	$2.787$		None		$2$	$0$	$-58$	$-58$	$-62$	$-60$		$\mathrm{SU}(2)[C_{87}]$
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.j.a	$353$	$2$	353.j	353.j	$88$	$1120$	$28$	$2.819$		None		$2$	$0$	$-44$	$-44$	$-40$	$-40$		$\mathrm{SU}(2)[C_{88}]$

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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.