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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
117.2.f.a	$117$	$2$	117.f	117.f	$3$	$24$	$12$	$0.934$		None		$2$	$0$	$1$	$-1$	$-2$	$-6$		$\mathrm{SU}(2)[C_{3}]$
117.2.h.a	$117$	$2$	117.h	117.h	$3$	$24$	$12$	$0.934$		None		$2$	$0$	$-2$	$-1$	$-2$	$3$		$\mathrm{SU}(2)[C_{3}]$
133.2.g.a	$133$	$2$	133.g	133.g	$3$	$24$	$12$	$1.062$		None		$2$	$0$	$1$	$-6$	$0$	$-2$		$\mathrm{SU}(2)[C_{3}]$
133.2.h.a	$133$	$2$	133.h	133.h	$3$	$24$	$12$	$1.062$		None		$2$	$0$	$-2$	$3$	$0$	$-2$		$\mathrm{SU}(2)[C_{3}]$
139.2.c.a	$139$	$2$	139.c	139.c	$3$	$22$	$11$	$1.110$		None		$2$	$0$	$0$	$2$	$-2$	$-1$		$\mathrm{SU}(2)[C_{3}]$
157.2.c.a	$157$	$2$	157.c	157.c	$3$	$24$	$12$	$1.254$		None		$2$	$0$	$-6$	$-1$	$4$	$-4$		$\mathrm{SU}(2)[C_{3}]$
163.2.c.a	$163$	$2$	163.c	163.c	$3$	$24$	$12$	$1.302$		None		$2$	$0$	$-1$	$-1$	$-10$	$-3$		$\mathrm{SU}(2)[C_{3}]$
171.2.g.c	$171$	$2$	171.g	171.g	$3$	$32$	$16$	$1.365$		None		$2$	$0$	$1$	$-2$	$-6$	$1$		$\mathrm{SU}(2)[C_{3}]$
171.2.h.c	$171$	$2$	171.h	171.h	$3$	$32$	$16$	$1.365$		None		$2$	$0$	$-2$	$1$	$3$	$1$		$\mathrm{SU}(2)[C_{3}]$
181.2.c.a	$181$	$2$	181.c	181.c	$3$	$26$	$13$	$1.445$		None		$2$	$0$	$0$	$0$	$-2$	$-16$		$\mathrm{SU}(2)[C_{3}]$
193.2.c.a	$193$	$2$	193.c	193.c	$3$	$30$	$15$	$1.541$		None		$2$	$0$	$0$	$-10$	$3$	$0$		$\mathrm{SU}(2)[C_{3}]$
199.2.c.b	$199$	$2$	199.c	199.c	$3$	$24$	$12$	$1.589$		None		$2$	$0$	$-1$	$4$	$4$	$-9$		$\mathrm{SU}(2)[C_{3}]$
207.2.e.b	$207$	$2$	207.e	9.c	$3$	$28$	$14$	$1.653$		None		$2$	$0$	$-1$	$-1$	$0$	$-9$		$\mathrm{SU}(2)[C_{3}]$
211.2.c.a	$211$	$2$	211.c	211.c	$3$	$34$	$17$	$1.685$		None		$2$	$0$	$2$	$2$	$-4$	$2$		$\mathrm{SU}(2)[C_{3}]$
217.2.e.a	$217$	$2$	217.e	217.e	$3$	$38$	$19$	$1.733$		None		$2$	$0$	$-2$	$4$	$1$	$-10$		$\mathrm{SU}(2)[C_{3}]$
217.2.f.b	$217$	$2$	217.f	7.c	$3$	$26$	$13$	$1.733$		None		$2$	$0$	$-5$	$0$	$-1$	$-1$		$\mathrm{SU}(2)[C_{3}]$
217.2.g.a	$217$	$2$	217.g	217.g	$3$	$38$	$19$	$1.733$		None		$2$	$0$	$-2$	$-8$	$-2$	$5$		$\mathrm{SU}(2)[C_{3}]$
221.2.e.b	$221$	$2$	221.e	13.c	$3$	$22$	$11$	$1.765$		None		$2$	$0$	$0$	$-5$	$-2$	$-1$		$\mathrm{SU}(2)[C_{3}]$
223.2.c.a	$223$	$2$	223.c	223.c	$3$	$36$	$18$	$1.781$		None		$2$	$0$	$-4$	$-1$	$3$	$-2$		$\mathrm{SU}(2)[C_{3}]$
229.2.c.a	$229$	$2$	229.c	229.c	$3$	$36$	$18$	$1.829$		None		$2$	$0$	$-6$	$-1$	$3$	$-4$		$\mathrm{SU}(2)[C_{3}]$
241.2.c.a	$241$	$2$	241.c	241.c	$3$	$38$	$19$	$1.924$		None		$2$	$0$	$1$	$2$	$-4$	$-5$		$\mathrm{SU}(2)[C_{3}]$
247.2.f.b	$247$	$2$	247.f	19.c	$3$	$22$	$11$	$1.972$		None		$2$	$0$	$-1$	$1$	$-4$	$10$		$\mathrm{SU}(2)[C_{3}]$
247.2.g.a	$247$	$2$	247.g	13.c	$3$	$22$	$11$	$1.972$		None		$2$	$0$	$-4$	$0$	$12$	$-2$		$\mathrm{SU}(2)[C_{3}]$
247.2.g.b	$247$	$2$	247.g	13.c	$3$	$22$	$11$	$1.972$		None		$2$	$0$	$2$	$0$	$-20$	$2$		$\mathrm{SU}(2)[C_{3}]$
259.2.e.a	$259$	$2$	259.e	7.c	$3$	$24$	$12$	$2.068$		None		$2$	$0$	$0$	$-8$	$-9$	$-3$		$\mathrm{SU}(2)[C_{3}]$
259.2.e.b	$259$	$2$	259.e	7.c	$3$	$24$	$12$	$2.068$		None		$2$	$0$	$0$	$8$	$7$	$-3$		$\mathrm{SU}(2)[C_{3}]$
259.2.f.b	$259$	$2$	259.f	37.c	$3$	$22$	$11$	$2.068$		None		$2$	$0$	$0$	$-1$	$0$	$-11$		$\mathrm{SU}(2)[C_{3}]$
261.2.e.a	$261$	$2$	261.e	9.c	$3$	$22$	$11$	$2.084$		None		$2$	$0$	$-1$	$-2$	$1$	$7$		$\mathrm{SU}(2)[C_{3}]$
261.2.e.b	$261$	$2$	261.e	9.c	$3$	$34$	$17$	$2.084$		None		$2$	$0$	$-1$	$-2$	$1$	$-9$		$\mathrm{SU}(2)[C_{3}]$
277.2.c.c	$277$	$2$	277.c	277.c	$3$	$32$	$16$	$2.212$		None		$2$	$0$	$-2$	$-4$	$-3$	$-9$		$\mathrm{SU}(2)[C_{3}]$
279.2.f.a	$279$	$2$	279.f	9.c	$3$	$30$	$15$	$2.228$		None		$2$	$0$	$-5$	$-1$	$-10$	$0$		$\mathrm{SU}(2)[C_{3}]$
279.2.f.b	$279$	$2$	279.f	9.c	$3$	$30$	$15$	$2.228$		None		$2$	$0$	$3$	$-1$	$6$	$0$		$\mathrm{SU}(2)[C_{3}]$
287.2.e.d	$287$	$2$	287.e	7.c	$3$	$34$	$17$	$2.292$		None		$2$	$0$	$-3$	$-1$	$1$	$-2$		$\mathrm{SU}(2)[C_{3}]$
299.2.e.d	$299$	$2$	299.e	13.c	$3$	$32$	$16$	$2.388$		None		$2$	$0$	$-1$	$-5$	$-4$	$-1$		$\mathrm{SU}(2)[C_{3}]$
301.2.e.b	$301$	$2$	301.e	7.c	$3$	$24$	$12$	$2.403$		None		$2$	$0$	$3$	$4$	$14$	$-10$		$\mathrm{SU}(2)[C_{3}]$
301.2.e.c	$301$	$2$	301.e	7.c	$3$	$28$	$14$	$2.403$		None		$2$	$0$	$0$	$-6$	$-14$	$-2$		$\mathrm{SU}(2)[C_{3}]$
301.2.h.b	$301$	$2$	301.h	43.c	$3$	$24$	$12$	$2.403$		None		$2$	$0$	$0$	$-2$	$-2$	$-12$		$\mathrm{SU}(2)[C_{3}]$
315.2.k.b	$315$	$2$	315.k	63.g	$3$	$24$	$12$	$2.515$		None		$2$	$0$	$-1$	$1$	$-24$	$7$		$\mathrm{SU}(2)[C_{3}]$
315.2.k.c	$315$	$2$	315.k	63.g	$3$	$36$	$18$	$2.515$		None		$2$	$0$	$0$	$-1$	$36$	$-1$		$\mathrm{SU}(2)[C_{3}]$
315.2.l.b	$315$	$2$	315.l	63.h	$3$	$24$	$12$	$2.515$		None		$2$	$0$	$2$	$-5$	$12$	$-11$		$\mathrm{SU}(2)[C_{3}]$
315.2.l.c	$315$	$2$	315.l	63.h	$3$	$36$	$18$	$2.515$		None		$2$	$0$	$0$	$-1$	$-18$	$-1$		$\mathrm{SU}(2)[C_{3}]$
323.2.e.a	$323$	$2$	323.e	19.c	$3$	$28$	$14$	$2.579$		None		$2$	$0$	$-2$	$-6$	$1$	$-6$		$\mathrm{SU}(2)[C_{3}]$
323.2.e.b	$323$	$2$	323.e	19.c	$3$	$28$	$14$	$2.579$		None		$2$	$0$	$2$	$2$	$-1$	$-6$		$\mathrm{SU}(2)[C_{3}]$
329.2.e.c	$329$	$2$	329.e	7.c	$3$	$40$	$20$	$2.627$		None		$2$	$0$	$-5$	$-1$	$0$	$-1$		$\mathrm{SU}(2)[C_{3}]$
333.2.e.a	$333$	$2$	333.e	9.c	$3$	$36$	$18$	$2.659$		None		$2$	$0$	$-6$	$-1$	$-10$	$0$		$\mathrm{SU}(2)[C_{3}]$
333.2.e.b	$333$	$2$	333.e	9.c	$3$	$36$	$18$	$2.659$		None		$2$	$0$	$4$	$-1$	$6$	$0$		$\mathrm{SU}(2)[C_{3}]$
335.2.e.b	$335$	$2$	335.e	67.c	$3$	$24$	$12$	$2.675$		None		$2$	$0$	$-3$	$0$	$24$	$-2$		$\mathrm{SU}(2)[C_{3}]$
341.2.e.a	$341$	$2$	341.e	31.c	$3$	$22$	$11$	$2.723$		None		$2$	$0$	$-2$	$-1$	$3$	$3$		$\mathrm{SU}(2)[C_{3}]$
341.2.e.b	$341$	$2$	341.e	31.c	$3$	$30$	$15$	$2.723$		None		$2$	$0$	$2$	$-3$	$-2$	$-5$		$\mathrm{SU}(2)[C_{3}]$
351.2.f.a	$351$	$2$	351.f	117.f	$3$	$24$	$12$	$2.803$		None		$2$	$0$	$-1$	$0$	$2$	$-6$		$\mathrm{SU}(2)[C_{3}]$

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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.