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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
160.2.u.a	$160$	$2$	160.u	160.u	$8$	$88$	$22$	$1.278$		None		$2$	$0$	$-4$	$-4$	$-4$	$0$		$\mathrm{SU}(2)[C_{8}]$
160.2.z.a	$160$	$2$	160.z	160.z	$8$	$88$	$22$	$1.278$		None		$4$	$0$	$0$	$0$	$-4$	$0$		$\mathrm{SU}(2)[C_{8}]$
160.2.ba.a	$160$	$2$	160.ba	160.aa	$8$	$88$	$22$	$1.278$		None		$2$	$0$	$-4$	$-4$	$-4$	$-8$		$\mathrm{SU}(2)[C_{8}]$
168.2.v.a	$168$	$2$	168.v	168.v	$6$	$56$	$28$	$1.341$		None		$8$	$0$	$0$	$-2$	$0$	$0$		$\mathrm{SU}(2)[C_{6}]$
168.2.ba.c	$168$	$2$	168.ba	168.aa	$6$	$48$	$24$	$1.341$		None		$8$	$0$	$0$	$0$	$0$	$-4$		$\mathrm{SU}(2)[C_{6}]$
180.2.n.d	$180$	$2$	180.n	180.n	$6$	$48$	$24$	$1.437$		None		$8$	$0$	$0$	$0$	$-18$	$0$		$\mathrm{SU}(2)[C_{6}]$
180.2.q.a	$180$	$2$	180.q	36.h	$6$	$48$	$24$	$1.437$		None		$4$	$0$	$0$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{6}]$
189.2.u.a	$189$	$2$	189.u	189.u	$9$	$132$	$22$	$1.509$		None		$2$	$0$	$-3$	$-3$	$-3$	$-6$		$\mathrm{SU}(2)[C_{9}]$
189.2.w.a	$189$	$2$	189.w	189.w	$9$	$132$	$22$	$1.509$		None		$2$	$0$	$-3$	$-3$	$-3$	$-6$		$\mathrm{SU}(2)[C_{9}]$
200.2.o.a	$200$	$2$	200.o	200.o	$10$	$112$	$28$	$1.597$		None		$4$	$0$	$-5$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{10}]$
200.2.t.a	$200$	$2$	200.t	200.t	$10$	$112$	$28$	$1.597$		None		$4$	$0$	$-3$	$0$	$0$	$-16$		$\mathrm{SU}(2)[C_{10}]$
204.2.p.a	$204$	$2$	204.p	204.p	$8$	$128$	$32$	$1.629$		None		$8$	$0$	$0$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{8}]$
219.2.k.a	$219$	$2$	219.k	219.k	$8$	$88$	$22$	$1.749$		None		$4$	$0$	$0$	$-4$	$0$	$0$		$\mathrm{SU}(2)[C_{8}]$
220.2.o.a	$220$	$2$	220.o	220.o	$10$	$128$	$32$	$1.757$		None		$8$	$0$	$0$	$0$	$-6$	$0$		$\mathrm{SU}(2)[C_{10}]$
224.2.x.b	$224$	$2$	224.x	224.x	$8$	$112$	$28$	$1.789$		None		$4$	$0$	$-8$	$0$	$0$	$-4$		$\mathrm{SU}(2)[C_{8}]$
228.2.m.a	$228$	$2$	228.m	228.m	$6$	$72$	$36$	$1.821$		None		$8$	$0$	$0$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{6}]$
231.2.l.b	$231$	$2$	231.l	231.l	$6$	$48$	$24$	$1.845$		None		$8$	$0$	$0$	$-6$	$0$	$0$		$\mathrm{SU}(2)[C_{6}]$
231.2.n.a	$231$	$2$	231.n	21.g	$6$	$52$	$26$	$1.845$		None		$4$	$0$	$0$	$0$	$0$	$-6$		$\mathrm{SU}(2)[C_{6}]$
231.2.s.a	$231$	$2$	231.s	33.f	$10$	$96$	$24$	$1.845$		None		$4$	$0$	$0$	$6$	$0$	$0$		$\mathrm{SU}(2)[C_{10}]$
231.2.u.a	$231$	$2$	231.u	231.u	$10$	$112$	$28$	$1.845$		None		$8$	$0$	$0$	$0$	$0$	$-2$		$\mathrm{SU}(2)[C_{10}]$
237.2.h.b	$237$	$2$	237.h	237.h	$6$	$48$	$24$	$1.892$		None		$4$	$0$	$0$	$0$	$0$	$-12$		$\mathrm{SU}(2)[C_{6}]$
72.3.j.a	$72$	$3$	72.j	72.j	$6$	$44$	$22$	$1.962$		None		$4$	$0$	$-3$	$0$	$0$	$-2$		$\mathrm{SU}(2)[C_{6}]$
247.2.w.a	$247$	$2$	247.w	247.w	$9$	$126$	$21$	$1.972$		None		$2$	$0$	$-3$	$-3$	$-12$	$3$		$\mathrm{SU}(2)[C_{9}]$
247.2.y.a	$247$	$2$	247.y	247.y	$9$	$126$	$21$	$1.972$		None		$2$	$0$	$-3$	$-3$	$-12$	$-6$		$\mathrm{SU}(2)[C_{9}]$
248.2.p.b	$248$	$2$	248.p	248.p	$6$	$56$	$28$	$1.980$		None		$4$	$0$	$-2$	$0$	$0$	$-4$		$\mathrm{SU}(2)[C_{6}]$
248.2.q.d	$248$	$2$	248.q	248.q	$6$	$48$	$24$	$1.980$		None		$4$	$0$	$0$	$12$	$0$	$0$		$\mathrm{SU}(2)[C_{6}]$
248.2.u.a	$248$	$2$	248.u	248.u	$10$	$120$	$30$	$1.980$		None		$4$	$0$	$-3$	$0$	$0$	$-6$		$\mathrm{SU}(2)[C_{10}]$
248.2.v.a	$248$	$2$	248.v	248.v	$10$	$120$	$30$	$1.980$		None		$4$	$0$	$-3$	$-10$	$0$	$0$		$\mathrm{SU}(2)[C_{10}]$
252.2.n.b	$252$	$2$	252.n	252.n	$6$	$84$	$42$	$2.012$		None		$4$	$0$	$-1$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{6}]$
252.2.o.a	$252$	$2$	252.o	252.o	$6$	$88$	$44$	$2.012$		None		$4$	$0$	$-3$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{6}]$
252.2.ba.a	$252$	$2$	252.ba	36.h	$6$	$72$	$36$	$2.012$		None		$4$	$0$	$0$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{6}]$
252.2.bb.a	$252$	$2$	252.bb	252.ab	$6$	$88$	$44$	$2.012$		None		$4$	$0$	$0$	$0$	$-6$	$0$		$\mathrm{SU}(2)[C_{6}]$
252.2.bi.c	$252$	$2$	252.bi	252.ai	$6$	$80$	$40$	$2.012$		None		$8$	$0$	$-6$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{6}]$
252.2.bj.b	$252$	$2$	252.bj	252.aj	$6$	$84$	$42$	$2.012$		None		$4$	$0$	$2$	$0$	$6$	$0$		$\mathrm{SU}(2)[C_{6}]$
253.2.h.a	$253$	$2$	253.h	253.h	$10$	$88$	$22$	$2.020$		None		$4$	$0$	$-10$	$-4$	$0$	$0$		$\mathrm{SU}(2)[C_{10}]$
255.2.v.a	$255$	$2$	255.v	255.v	$8$	$128$	$32$	$2.036$		None		$4$	$0$	$0$	$-4$	$0$	$-8$		$\mathrm{SU}(2)[C_{8}]$
255.2.ba.a	$255$	$2$	255.ba	255.aa	$8$	$128$	$32$	$2.036$		None		$4$	$0$	$0$	$-4$	$0$	$-8$		$\mathrm{SU}(2)[C_{8}]$
259.2.q.a	$259$	$2$	259.q	259.q	$6$	$48$	$24$	$2.068$		None		$4$	$0$	$0$	$0$	$0$	$-2$		$\mathrm{SU}(2)[C_{6}]$
259.2.x.a	$259$	$2$	259.x	259.x	$9$	$138$	$23$	$2.068$		None		$2$	$0$	$-9$	$-3$	$-3$	$-9$		$\mathrm{SU}(2)[C_{9}]$
259.2.y.a	$259$	$2$	259.y	259.y	$9$	$138$	$23$	$2.068$		None		$2$	$0$	$0$	$-3$	$-3$	$-24$		$\mathrm{SU}(2)[C_{9}]$
261.2.i.a	$261$	$2$	261.i	261.i	$6$	$56$	$28$	$2.084$		None		$4$	$0$	$0$	$0$	$2$	$-2$		$\mathrm{SU}(2)[C_{6}]$
264.2.u.b	$264$	$2$	264.u	264.u	$10$	$160$	$40$	$2.108$		None		$8$	$0$	$0$	$0$	$0$	$-20$		$\mathrm{SU}(2)[C_{10}]$
264.2.w.d	$264$	$2$	264.w	264.w	$10$	$144$	$36$	$2.108$		None		$8$	$0$	$0$	$2$	$0$	$0$		$\mathrm{SU}(2)[C_{10}]$
264.2.bb.a	$264$	$2$	264.bb	88.o	$10$	$96$	$24$	$2.108$		None		$4$	$0$	$4$	$0$	$0$	$8$		$\mathrm{SU}(2)[C_{10}]$
267.2.g.c	$267$	$2$	267.g	267.g	$8$	$104$	$26$	$2.132$		None		$4$	$0$	$0$	$-8$	$0$	$-24$		$\mathrm{SU}(2)[C_{8}]$
268.2.h.a	$268$	$2$	268.h	268.h	$6$	$64$	$32$	$2.140$		None		$4$	$0$	$-3$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{6}]$
271.2.f.a	$271$	$2$	271.f	271.f	$9$	$126$	$21$	$2.164$		None		$2$	$0$	$-6$	$-24$	$-3$	$3$		$\mathrm{SU}(2)[C_{9}]$
272.2.w.b	$272$	$2$	272.w	272.w	$8$	$132$	$33$	$2.172$		None		$2$	$0$	$-8$	$-4$	$-8$	$-8$		$\mathrm{SU}(2)[C_{8}]$
272.2.y.b	$272$	$2$	272.y	272.y	$8$	$132$	$33$	$2.172$		None		$2$	$0$	$0$	$0$	$-4$	$8$		$\mathrm{SU}(2)[C_{8}]$
273.2.r.b	$273$	$2$	273.r	273.r	$6$	$64$	$32$	$2.180$		None		$4$	$0$	$0$	$0$	$0$	$-10$		$\mathrm{SU}(2)[C_{6}]$

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Elliptic curves over $\Q$
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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.