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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
116.2.l.b	$116$	$2$	116.l	116.l	$28$	$144$	$12$	$0.926$		None		$4$	$0$	$-12$	$0$	$-28$	$0$		$\mathrm{SU}(2)[C_{28}]$
123.2.o.a	$123$	$2$	123.o	123.o	$40$	$192$	$12$	$0.982$		None		$4$	$0$	$0$	$-12$	$0$	$-32$		$\mathrm{SU}(2)[C_{40}]$
124.2.p.a	$124$	$2$	124.p	124.p	$30$	$112$	$14$	$0.990$		None		$4$	$0$	$-6$	$0$	$-8$	$0$		$\mathrm{SU}(2)[C_{30}]$
125.2.g.a	$125$	$2$	125.g	125.g	$25$	$220$	$11$	$0.998$		None		$2$	$0$	$-20$	$-20$	$-15$	$-15$		$\mathrm{SU}(2)[C_{25}]$
125.2.h.a	$125$	$2$	125.h	125.h	$50$	$240$	$12$	$0.998$		None		$2$	$0$	$-20$	$-20$	$-25$	$-25$		$\mathrm{SU}(2)[C_{50}]$
128.2.k.a	$128$	$2$	128.k	128.k	$32$	$240$	$15$	$1.022$		None		$2$	$0$	$-16$	$-16$	$-16$	$-16$		$\mathrm{SU}(2)[C_{32}]$
129.2.n.b	$129$	$2$	129.n	129.n	$42$	$144$	$12$	$1.030$		None		$4$	$0$	$0$	$-14$	$0$	$-42$		$\mathrm{SU}(2)[C_{42}]$
135.2.q.a	$135$	$2$	135.q	135.q	$36$	$192$	$16$	$1.078$		None		$4$	$0$	$-12$	$-12$	$-12$	$-12$		$\mathrm{SU}(2)[C_{36}]$
137.2.g.a	$137$	$2$	137.g	137.g	$68$	$352$	$11$	$1.094$		None		$2$	$0$	$-34$	$-28$	$-30$	$-34$		$\mathrm{SU}(2)[C_{68}]$
139.2.g.a	$139$	$2$	139.g	139.g	$69$	$484$	$11$	$1.110$		None		$2$	$0$	$-46$	$-48$	$-44$	$-45$		$\mathrm{SU}(2)[C_{69}]$
141.2.g.a	$141$	$2$	141.g	141.g	$46$	$308$	$14$	$1.126$		None		$4$	$0$	$0$	$-19$	$0$	$-42$		$\mathrm{SU}(2)[C_{46}]$
143.2.u.a	$143$	$2$	143.u	143.u	$30$	$96$	$12$	$1.142$		None		$4$	$0$	$-9$	$-3$	$0$	$-9$		$\mathrm{SU}(2)[C_{30}]$
143.2.w.a	$143$	$2$	143.w	143.w	$60$	$192$	$12$	$1.142$		None		$4$	$0$	$-20$	$-6$	$-12$	$-20$		$\mathrm{SU}(2)[C_{60}]$
145.2.o.a	$145$	$2$	145.o	145.o	$28$	$156$	$13$	$1.158$		None		$2$	$0$	$-8$	$-14$	$-14$	$-10$		$\mathrm{SU}(2)[C_{28}]$
145.2.t.a	$145$	$2$	145.t	145.t	$28$	$156$	$13$	$1.158$		None		$2$	$0$	$-14$	$-10$	$-14$	$-10$		$\mathrm{SU}(2)[C_{28}]$
147.2.o.b	$147$	$2$	147.o	147.o	$42$	$192$	$16$	$1.174$		None		$4$	$0$	$0$	$-14$	$0$	$-28$		$\mathrm{SU}(2)[C_{42}]$
148.2.q.b	$148$	$2$	148.q	148.q	$36$	$192$	$16$	$1.182$		None		$4$	$0$	$-12$	$0$	$-24$	$0$		$\mathrm{SU}(2)[C_{36}]$
149.2.d.a	$149$	$2$	149.d	149.d	$37$	$396$	$11$	$1.190$		None		$2$	$0$	$-32$	$-35$	$-27$	$-27$		$\mathrm{SU}(2)[C_{37}]$
149.2.e.a	$149$	$2$	149.e	149.e	$74$	$432$	$12$	$1.190$		None		$2$	$0$	$-37$	$-37$	$-41$	$-31$		$\mathrm{SU}(2)[C_{74}]$
151.2.h.a	$151$	$2$	151.h	151.h	$25$	$220$	$11$	$1.206$		None		$2$	$0$	$-15$	$-20$	$-20$	$-20$		$\mathrm{SU}(2)[C_{25}]$
151.2.k.a	$151$	$2$	151.k	151.k	$75$	$480$	$12$	$1.206$		None		$2$	$0$	$-45$	$-40$	$-40$	$-40$		$\mathrm{SU}(2)[C_{75}]$
153.2.r.a	$153$	$2$	153.r	153.r	$24$	$128$	$16$	$1.222$		None		$4$	$0$	$-4$	$-8$	$-4$	$-4$		$\mathrm{SU}(2)[C_{24}]$
153.2.s.a	$153$	$2$	153.s	153.s	$48$	$256$	$16$	$1.222$		None		$4$	$0$	$-24$	$-16$	$-24$	$-8$		$\mathrm{SU}(2)[C_{48}]$
155.2.u.a	$155$	$2$	155.u	155.u	$30$	$112$	$14$	$1.238$		None		$4$	$0$	$0$	$0$	$-5$	$0$		$\mathrm{SU}(2)[C_{30}]$
155.2.x.a	$155$	$2$	155.x	155.x	$60$	$224$	$14$	$1.238$		None		$4$	$0$	$-12$	$-14$	$-8$	$6$		$\mathrm{SU}(2)[C_{60}]$
157.2.h.a	$157$	$2$	157.h	157.h	$26$	$144$	$12$	$1.254$		None		$2$	$0$	$-13$	$-7$	$0$	$-13$		$\mathrm{SU}(2)[C_{26}]$
157.2.i.a	$157$	$2$	157.i	157.i	$39$	$288$	$12$	$1.254$		None		$2$	$0$	$-20$	$-25$	$-17$	$-22$		$\mathrm{SU}(2)[C_{39}]$
157.2.k.a	$157$	$2$	157.k	157.k	$78$	$312$	$13$	$1.254$		None		$2$	$0$	$-26$	$-25$	$-39$	$-26$		$\mathrm{SU}(2)[C_{78}]$
159.2.k.a	$159$	$2$	159.k	159.k	$52$	$384$	$16$	$1.270$		None		$4$	$0$	$0$	$-22$	$0$	$-52$		$\mathrm{SU}(2)[C_{52}]$
161.2.k.b	$161$	$2$	161.k	161.k	$22$	$120$	$12$	$1.286$		None		$4$	$0$	$-22$	$0$	$0$	$-11$		$\mathrm{SU}(2)[C_{22}]$
161.2.m.a	$161$	$2$	161.m	161.m	$33$	$280$	$14$	$1.286$		None		$4$	$0$	$-11$	$-9$	$-11$	$-20$		$\mathrm{SU}(2)[C_{33}]$
161.2.o.a	$161$	$2$	161.o	161.o	$66$	$280$	$14$	$1.286$		None		$4$	$0$	$-7$	$-27$	$-33$	$-22$		$\mathrm{SU}(2)[C_{66}]$
163.2.g.a	$163$	$2$	163.g	163.g	$27$	$216$	$12$	$1.302$		None		$2$	$0$	$-18$	$-18$	$-9$	$-18$		$\mathrm{SU}(2)[C_{27}]$
163.2.i.a	$163$	$2$	163.i	163.i	$81$	$702$	$13$	$1.302$		None		$2$	$0$	$-54$	$-54$	$-54$	$-54$		$\mathrm{SU}(2)[C_{81}]$
164.2.o.b	$164$	$2$	164.o	164.o	$40$	$288$	$18$	$1.310$		None		$4$	$0$	$-12$	$0$	$-32$	$0$		$\mathrm{SU}(2)[C_{40}]$
167.2.c.a	$167$	$2$	167.c	167.c	$83$	$1066$	$13$	$1.334$		None		$2$	$0$	$-81$	$-81$	$-79$	$-81$		$\mathrm{SU}(2)[C_{83}]$
169.2.h.a	$169$	$2$	169.h	169.h	$26$	$168$	$14$	$1.349$		None		$2$	$0$	$-13$	$-13$	$-13$	$-13$		$\mathrm{SU}(2)[C_{26}]$
169.2.i.a	$169$	$2$	169.i	169.i	$39$	$336$	$14$	$1.349$		None		$2$	$0$	$-26$	$-26$	$-26$	$-26$		$\mathrm{SU}(2)[C_{39}]$
169.2.k.a	$169$	$2$	169.k	169.k	$78$	$360$	$15$	$1.349$		None		$2$	$0$	$-23$	$-24$	$-26$	$-26$		$\mathrm{SU}(2)[C_{78}]$
172.2.p.a	$172$	$2$	172.p	172.p	$42$	$240$	$20$	$1.373$		None		$4$	$0$	$-14$	$0$	$-22$	$0$		$\mathrm{SU}(2)[C_{42}]$
173.2.d.a	$173$	$2$	173.d	173.d	$43$	$546$	$13$	$1.381$		None		$2$	$0$	$-40$	$-41$	$-37$	$-37$		$\mathrm{SU}(2)[C_{43}]$
173.2.e.a	$173$	$2$	173.e	173.e	$86$	$588$	$14$	$1.381$		None		$2$	$0$	$-43$	$-43$	$-43$	$-43$		$\mathrm{SU}(2)[C_{86}]$
175.2.t.a	$175$	$2$	175.t	175.t	$30$	$144$	$18$	$1.397$		None		$4$	$0$	$-5$	$-5$	$-3$	$0$		$\mathrm{SU}(2)[C_{30}]$
175.2.x.a	$175$	$2$	175.x	175.x	$60$	$288$	$18$	$1.397$		None		$4$	$0$	$-8$	$-24$	$-30$	$-10$		$\mathrm{SU}(2)[C_{60}]$
177.2.f.a	$177$	$2$	177.f	177.f	$58$	$504$	$18$	$1.413$		None		$4$	$0$	$0$	$-27$	$0$	$-58$		$\mathrm{SU}(2)[C_{58}]$
179.2.c.a	$179$	$2$	179.c	179.c	$89$	$1232$	$14$	$1.429$		None		$2$	$0$	$-84$	$-83$	$-85$	$-81$		$\mathrm{SU}(2)[C_{89}]$
181.2.m.a	$181$	$2$	181.m	181.m	$30$	$112$	$14$	$1.445$		None		$2$	$0$	$-7$	$-1$	$-5$	$0$		$\mathrm{SU}(2)[C_{30}]$
181.2.o.a	$181$	$2$	181.o	181.o	$45$	$336$	$14$	$1.445$		None		$2$	$0$	$-24$	$-27$	$-33$	$-15$		$\mathrm{SU}(2)[C_{45}]$
181.2.q.a	$181$	$2$	181.q	181.q	$90$	$360$	$15$	$1.445$		None		$2$	$0$	$-24$	$-27$	$-21$	$-45$		$\mathrm{SU}(2)[C_{90}]$
183.2.x.b	$183$	$2$	183.x	183.x	$60$	$288$	$18$	$1.461$		None		$4$	$0$	$0$	$-20$	$0$	$-28$		$\mathrm{SU}(2)[C_{60}]$

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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.