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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				Fricke sign	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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
311.2.a.b	$311$	$2$	311.a	1.a	$1$	$22$	$22$	$2.483$		None	✓	$1$	$0$	$2$	$2$	$1$	$8$	$-$		$\mathrm{SU}(2)$
359.2.a.d	$359$	$2$	359.a	1.a	$1$	$24$	$24$	$2.867$		None	✓	$1$	$0$	$1$	$5$	$6$	$5$	$-$		$\mathrm{SU}(2)$
383.2.a.c	$383$	$2$	383.a	1.a	$1$	$24$	$24$	$3.058$		None	✓	$1$	$0$	$5$	$2$	$3$	$17$	$-$		$\mathrm{SU}(2)$
401.2.a.b	$401$	$2$	401.a	1.a	$1$	$21$	$21$	$3.202$		None	✓	$1$	$0$	$0$	$3$	$3$	$24$	$-$		$\mathrm{SU}(2)$
419.2.a.b	$419$	$2$	419.a	1.a	$1$	$26$	$26$	$3.346$		None	✓	$1$	$0$	$2$	$2$	$5$	$7$	$-$		$\mathrm{SU}(2)$
431.2.a.f	$431$	$2$	431.a	1.a	$1$	$24$	$24$	$3.442$		None	✓	$1$	$0$	$1$	$1$	$13$	$8$	$-$		$\mathrm{SU}(2)$
439.2.a.c	$439$	$2$	439.a	1.a	$1$	$25$	$25$	$3.505$		None	✓	$1$	$0$	$4$	$3$	$15$	$0$	$-$		$\mathrm{SU}(2)$
443.2.a.e	$443$	$2$	443.a	1.a	$1$	$22$	$22$	$3.537$		None	✓	$1$	$0$	$1$	$8$	$3$	$12$	$-$		$\mathrm{SU}(2)$
449.2.a.b	$449$	$2$	449.a	1.a	$1$	$23$	$23$	$3.585$		None	✓	$1$	$0$	$0$	$3$	$3$	$26$	$-$		$\mathrm{SU}(2)$
461.2.a.d	$461$	$2$	461.a	1.a	$1$	$26$	$26$	$3.681$		None	✓	$1$	$0$	$3$	$8$	$1$	$10$	$-$		$\mathrm{SU}(2)$
463.2.a.b	$463$	$2$	463.a	1.a	$1$	$22$	$22$	$3.697$		None	✓	$1$	$0$	$8$	$4$	$14$	$2$	$-$		$\mathrm{SU}(2)$
467.2.a.c	$467$	$2$	467.a	1.a	$1$	$26$	$26$	$3.729$		None	✓	$1$	$0$	$5$	$4$	$3$	$11$	$-$		$\mathrm{SU}(2)$
479.2.a.b	$479$	$2$	479.a	1.a	$1$	$32$	$32$	$3.825$		None	✓	$1$	$0$	$3$	$5$	$6$	$8$	$-$		$\mathrm{SU}(2)$
491.2.a.c	$491$	$2$	491.a	1.a	$1$	$29$	$29$	$3.921$		None	✓	$1$	$0$	$0$	$5$	$12$	$3$	$-$		$\mathrm{SU}(2)$
499.2.a.c	$499$	$2$	499.a	1.a	$1$	$23$	$23$	$3.985$		None	✓	$1$	$0$	$4$	$1$	$25$	$2$	$-$		$\mathrm{SU}(2)$
503.2.a.f	$503$	$2$	503.a	1.a	$1$	$26$	$26$	$4.016$		None	✓	$1$	$0$	$4$	$4$	$9$	$11$	$-$		$\mathrm{SU}(2)$
509.2.a.b	$509$	$2$	509.a	1.a	$1$	$28$	$28$	$4.064$		None	✓	$1$	$0$	$3$	$5$	$1$	$19$	$-$		$\mathrm{SU}(2)$
521.2.a.b	$521$	$2$	521.a	1.a	$1$	$29$	$29$	$4.160$		None	✓	$1$	$0$	$1$	$3$	$-1$	$26$	$-$		$\mathrm{SU}(2)$
523.2.a.c	$523$	$2$	523.a	1.a	$1$	$26$	$26$	$4.176$		None	✓	$1$	$0$	$9$	$4$	$21$	$3$	$-$		$\mathrm{SU}(2)$
541.2.a.b	$541$	$2$	541.a	1.a	$1$	$24$	$24$	$4.320$		None	✓	$1$	$0$	$3$	$12$	$13$	$2$	$-$		$\mathrm{SU}(2)$
547.2.a.c	$547$	$2$	547.a	1.a	$1$	$25$	$25$	$4.368$		None	✓	$1$	$0$	$4$	$8$	$29$	$5$	$-$		$\mathrm{SU}(2)$
557.2.a.d	$557$	$2$	557.a	1.a	$1$	$26$	$26$	$4.448$		None	✓	$1$	$0$	$1$	$16$	$4$	$14$	$-$		$\mathrm{SU}(2)$
563.2.a.e	$563$	$2$	563.a	1.a	$1$	$31$	$31$	$4.496$		None	✓	$1$	$0$	$5$	$8$	$13$	$17$	$-$		$\mathrm{SU}(2)$
569.2.a.b	$569$	$2$	569.a	1.a	$1$	$31$	$31$	$4.543$		None	✓	$1$	$0$	$0$	$8$	$4$	$20$	$-$		$\mathrm{SU}(2)$
577.2.a.e	$577$	$2$	577.a	1.a	$1$	$22$	$22$	$4.607$		None	✓	$1$	$1$	$-13$	$-8$	$-8$	$-20$	$+$		$\mathrm{SU}(2)$
587.2.a.c	$587$	$2$	587.a	1.a	$1$	$31$	$31$	$4.687$		None	✓	$1$	$0$	$6$	$2$	$7$	$19$	$-$		$\mathrm{SU}(2)$
593.2.a.e	$593$	$2$	593.a	1.a	$1$	$27$	$27$	$4.735$		None	✓	$1$	$0$	$6$	$4$	$0$	$25$	$-$		$\mathrm{SU}(2)$
599.2.a.c	$599$	$2$	599.a	1.a	$1$	$37$	$37$	$4.783$		None	✓	$1$	$0$	$1$	$4$	$6$	$12$	$-$		$\mathrm{SU}(2)$
601.2.a.b	$601$	$2$	601.a	1.a	$1$	$29$	$29$	$4.799$		None	✓	$1$	$0$	$4$	$5$	$10$	$7$	$-$		$\mathrm{SU}(2)$
607.2.a.d	$607$	$2$	607.a	1.a	$1$	$31$	$31$	$4.847$		None	✓	$1$	$0$	$9$	$7$	$16$	$2$	$-$		$\mathrm{SU}(2)$
613.2.a.c	$613$	$2$	613.a	1.a	$1$	$27$	$27$	$4.895$		None	✓	$1$	$0$	$8$	$18$	$14$	$6$	$-$		$\mathrm{SU}(2)$
617.2.a.a	$617$	$2$	617.a	1.a	$1$	$23$	$23$	$4.927$		None	✓	$1$	$1$	$-6$	$-13$	$-6$	$-37$	$+$		$\mathrm{SU}(2)$
617.2.a.b	$617$	$2$	617.a	1.a	$1$	$28$	$28$	$4.927$		None	✓	$1$	$0$	$3$	$11$	$2$	$39$	$-$		$\mathrm{SU}(2)$
619.2.a.a	$619$	$2$	619.a	1.a	$1$	$21$	$21$	$4.943$		None	✓	$1$	$1$	$-9$	$-5$	$-21$	$-4$	$+$		$\mathrm{SU}(2)$
619.2.a.b	$619$	$2$	619.a	1.a	$1$	$30$	$30$	$4.943$		None	✓	$1$	$0$	$9$	$1$	$21$	$2$	$-$		$\mathrm{SU}(2)$
631.2.a.b	$631$	$2$	631.a	1.a	$1$	$32$	$32$	$5.039$		None	✓	$1$	$0$	$7$	$2$	$17$	$-2$	$-$		$\mathrm{SU}(2)$
641.2.a.b	$641$	$2$	641.a	1.a	$1$	$33$	$33$	$5.118$		None	✓	$1$	$0$	$0$	$7$	$1$	$28$	$-$		$\mathrm{SU}(2)$
643.2.a.b	$643$	$2$	643.a	1.a	$1$	$24$	$24$	$5.134$		None	✓	$1$	$1$	$-13$	$-7$	$-23$	$-10$	$+$		$\mathrm{SU}(2)$
643.2.a.c	$643$	$2$	643.a	1.a	$1$	$28$	$28$	$5.134$		None	✓	$1$	$0$	$14$	$5$	$23$	$11$	$-$		$\mathrm{SU}(2)$
647.2.a.c	$647$	$2$	647.a	1.a	$1$	$38$	$38$	$5.166$		None	✓	$1$	$0$	$6$	$4$	$2$	$18$	$-$		$\mathrm{SU}(2)$
653.2.a.c	$653$	$2$	653.a	1.a	$1$	$30$	$30$	$5.214$		None	✓	$1$	$0$	$2$	$19$	$1$	$23$	$-$		$\mathrm{SU}(2)$
659.2.a.d	$659$	$2$	659.a	1.a	$1$	$37$	$37$	$5.262$		None	✓	$1$	$0$	$-2$	$6$	$13$	$6$	$-$		$\mathrm{SU}(2)$
661.2.a.b	$661$	$2$	661.a	1.a	$1$	$23$	$23$	$5.278$		None	✓	$1$	$1$	$-9$	$-7$	$-11$	$-6$	$+$		$\mathrm{SU}(2)$
661.2.a.c	$661$	$2$	661.a	1.a	$1$	$29$	$29$	$5.278$		None	✓	$1$	$0$	$7$	$5$	$9$	$10$	$-$		$\mathrm{SU}(2)$
671.2.a.d	$671$	$2$	671.a	1.a	$1$	$21$	$21$	$5.358$		None	✓	$1$	$0$	$0$	$3$	$7$	$5$	$-$		$\mathrm{SU}(2)$
673.2.a.c	$673$	$2$	673.a	1.a	$1$	$24$	$24$	$5.374$		None	✓	$1$	$0$	$3$	$9$	$20$	$7$	$-$		$\mathrm{SU}(2)$
673.2.a.d	$673$	$2$	673.a	1.a	$1$	$25$	$25$	$5.374$		None	✓	$1$	$1$	$-7$	$-15$	$-16$	$-21$	$+$		$\mathrm{SU}(2)$
677.2.a.d	$677$	$2$	677.a	1.a	$1$	$35$	$35$	$5.406$		None	✓	$1$	$0$	$4$	$18$	$3$	$23$	$-$		$\mathrm{SU}(2)$
683.2.a.b	$683$	$2$	683.a	1.a	$1$	$24$	$24$	$5.454$		None	✓	$1$	$1$	$-4$	$-8$	$-16$	$-24$	$+$		$\mathrm{SU}(2)$
683.2.a.c	$683$	$2$	683.a	1.a	$1$	$31$	$31$	$5.454$		None	✓	$1$	$0$	$2$	$3$	$18$	$20$	$-$		$\mathrm{SU}(2)$

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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.