LMFDB - Elliptic curves over $\Q$ of conductor 16830

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	Sato-Tate	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
16830.a1	16830d1	16830.a	16830d	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 11^{5} \cdot 17^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$264$	$12$	$0$	$2.582425833$	$1$		$7$	$153600$	$1.804893$	$63486961018176728187/21521824913600$	$1.01476$	$5.02452$	$[1, -1, 0, -249330, -47842924]$	$y^2+xy=x^3-x^2-249330x-47842924$	2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(-292, 166)]$
16830.a2	16830d2	16830.a	16830d	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{3} \cdot 3^{3} \cdot 5^{4} \cdot 11^{10} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$264$	$12$	$0$	$5.164851666$	$1$		$4$	$307200$	$2.151466$	$-40509209135606968827/37479578548445000$	$1.02436$	$5.07649$	$[1, -1, 0, -214650, -61652500]$	$y^2+xy=x^3-x^2-214650x-61652500$	2.3.0.a.1, 24.6.0.b.1, 88.6.0.?, 132.6.0.?, 264.12.0.?	$[(575, 1900)]$
16830.b1	16830s2	16830.b	16830s	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ 2^{7} \cdot 3^{14} \cdot 5^{6} \cdot 11^{2} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$7480$	$12$	$0$	$2.112458901$	$1$		$4$	$172032$	$1.831423$	$88526309511756241/26991954000000$	$0.95697$	$4.68751$	$[1, -1, 0, -83565, -6374619]$	$y^2+xy=x^3-x^2-83565x-6374619$	2.3.0.a.1, 136.6.0.?, 220.6.0.?, 7480.12.0.?	$[(-177, 1776)]$
16830.b2	16830s1	16830.b	16830s	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{14} \cdot 3^{10} \cdot 5^{3} \cdot 11 \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$7480$	$12$	$0$	$4.224917803$	$1$		$3$	$86016$	$1.484850$	$448733772344879/527357952000$	$0.93700$	$4.14755$	$[1, -1, 0, 14355, -675675]$	$y^2+xy=x^3-x^2+14355x-675675$	2.3.0.a.1, 110.6.0.?, 136.6.0.?, 7480.12.0.?	$[(123, 1653)]$
16830.c1	16830r1	16830.c	16830r	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{9} \cdot 3^{6} \cdot 5^{5} \cdot 11^{2} \cdot 17 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$680$	$2$	$0$	$1$	$1$		$0$	$40320$	$1.055548$	$-72043225281/3291200000$	$0.95685$	$3.69682$	$[1, -1, 0, -780, -74800]$	$y^2+xy=x^3-x^2-780x-74800$	680.2.0.?	$[]$
16830.d1	16830e1	16830.d	16830e	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ 2^{26} \cdot 3^{9} \cdot 5^{2} \cdot 11^{5} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$22440$	$12$	$0$	$8.353184131$	$1$		$3$	$748800$	$2.521664$	$9031490088862377843/4593378603827200$	$1.00616$	$5.50151$	$[1, -1, 0, -1171410, 170143316]$	$y^2+xy=x^3-x^2-1171410x+170143316$	2.3.0.a.1, 120.6.0.?, 1122.6.0.?, 7480.6.0.?, 22440.12.0.?	$[(48883, 10780621)]$
16830.d2	16830e2	16830.d	16830e	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{13} \cdot 3^{9} \cdot 5 \cdot 11^{10} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$22440$	$12$	$0$	$16.70636826$	$1$		$0$	$1497600$	$2.868240$	$465104823145335330957/307032707468861440$	$1.07652$	$5.90657$	$[1, -1, 0, 4358190, 1312558676]$	$y^2+xy=x^3-x^2+4358190x+1312558676$	2.3.0.a.1, 120.6.0.?, 2244.6.0.?, 7480.6.0.?, 22440.12.0.?	$[(17638571/19, 73978866063/19)]$
16830.e1	16830q2	16830.e	16830q	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ 2^{3} \cdot 3^{12} \cdot 5^{4} \cdot 11^{2} \cdot 17 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$4488$	$12$	$0$	$2.393189165$	$1$		$14$	$36864$	$1.180637$	$75370704203521/7497765000$	$0.90865$	$3.96110$	$[1, -1, 0, -7920, -244904]$	$y^2+xy=x^3-x^2-7920x-244904$	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(-43, 143), (-55, 176)]$
16830.e2	16830q1	16830.e	16830q	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 11 \cdot 17^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$4488$	$12$	$0$	$0.598297291$	$1$		$25$	$18432$	$0.834064$	$885012508801/137332800$	$0.87607$	$3.50435$	$[1, -1, 0, -1800, 25600]$	$y^2+xy=x^3-x^2-1800x+25600$	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(8, 104), (35, 50)]$
16830.f1	16830p1	16830.f	16830p	$2$	$5$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{15} \cdot 3^{6} \cdot 5^{5} \cdot 11^{4} \cdot 17^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$5$	5.12.0.1	5B.4.1	$2040$	$48$	$1$	$1$	$9$	$3$	$0$	$1440000$	$2.972473$	$-1606220241149825308027441/2128704136908800000$	$1.01195$	$6.40534$	$[1, -1, 0, -21958515, -39645067019]$	$y^2+xy=x^3-x^2-21958515x-39645067019$	5.12.0.a.1, 15.24.0-5.a.1.1, 680.24.1.?, 2040.48.1.?	$[]$
16830.f2	16830p2	16830.f	16830p	$2$	$5$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{3} \cdot 3^{6} \cdot 5 \cdot 11^{20} \cdot 17 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$5$	5.12.0.2	5B.4.2	$2040$	$48$	$1$	$1$	$9$	$3$	$0$	$7200000$	$3.777191$	$570983676137286216962798159/457469996554140806256680$	$1.10476$	$7.00870$	$[1, -1, 0, 155552085, 462972313741]$	$y^2+xy=x^3-x^2+155552085x+462972313741$	5.12.0.a.2, 15.24.0-5.a.2.1, 680.24.1.?, 2040.48.1.?	$[]$
16830.g1	16830u2	16830.g	16830u	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ 2^{7} \cdot 3^{12} \cdot 5^{4} \cdot 11^{2} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$4488$	$12$	$0$	$2.553641887$	$1$		$4$	$86016$	$1.613916$	$179865548102096641/119964240000$	$0.95185$	$4.76036$	$[1, -1, 0, -105840, -13219200]$	$y^2+xy=x^3-x^2-105840x-13219200$	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(-185, 30)]$
16830.g2	16830u1	16830.g	16830u	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ 2^{14} \cdot 3^{9} \cdot 5^{2} \cdot 11 \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1.276820943$	$1$		$7$	$43008$	$1.267344$	$75370704203521/35157196800$	$0.92780$	$3.96110$	$[1, -1, 0, -7920, -117504]$	$y^2+xy=x^3-x^2-7920x-117504$	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(-57, 411)]$
16830.h1	16830k2	16830.h	16830k	$2$	$3$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{15} \cdot 3^{9} \cdot 5^{3} \cdot 11 \cdot 17 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.8.0.2	3B.1.2	$22440$	$16$	$0$	$6.201331982$	$1$		$0$	$43200$	$1.242987$	$-2575296504243/765952000$	$0.89195$	$3.99543$	$[1, -1, 0, -7710, -318700]$	$y^2+xy=x^3-x^2-7710x-318700$	3.8.0-3.a.1.1, 22440.16.0.?	$[(1717/4, 14791/4)]$
16830.h2	16830k1	16830.h	16830k	$2$	$3$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{5} \cdot 3^{3} \cdot 5 \cdot 11^{3} \cdot 17^{3} $	$1$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	$3$	3.8.0.1	3B.1.1	$22440$	$16$	$0$	$2.067110660$	$1$		$6$	$14400$	$0.693681$	$1434104310933/1046272480$	$0.90839$	$3.21526$	$[1, -1, 0, 705, 3501]$	$y^2+xy=x^3-x^2+705x+3501$	3.8.0-3.a.1.2, 22440.16.0.?	$[(51, 387)]$
16830.i1	16830f2	16830.i	16830f	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ 2^{14} \cdot 3^{9} \cdot 5 \cdot 11^{2} \cdot 17^{10} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$11220$	$12$	$0$	$1$	$1$		$0$	$2257920$	$3.225063$	$48987507305640443781123/19983176659298631680$	$1.12343$	$6.38515$	$[1, -1, 0, -20581845, -19518668299]$	$y^2+xy=x^3-x^2-20581845x-19518668299$	2.3.0.a.1, 60.6.0.a.1, 2244.6.0.?, 3740.6.0.?, 11220.12.0.?	$[]$
16830.i2	16830f1	16830.i	16830f	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ 2^{28} \cdot 3^{9} \cdot 5^{2} \cdot 11 \cdot 17^{5} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$11220$	$12$	$0$	$1$	$1$		$1$	$1128960$	$2.878490$	$4851826120835540459523/104813489343692800$	$1.05558$	$6.14753$	$[1, -1, 0, -9522645, 11099832821]$	$y^2+xy=x^3-x^2-9522645x+11099832821$	2.3.0.a.1, 60.6.0.b.1, 1122.6.0.?, 3740.6.0.?, 11220.12.0.?	$[]$
16830.j1	16830g2	16830.j	16830g	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ 2 \cdot 3^{9} \cdot 5^{2} \cdot 11 \cdot 17^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$22440$	$12$	$0$	$1$	$1$		$0$	$18432$	$0.744778$	$170676802323/158950$	$1.05066$	$3.67391$	$[1, -1, 0, -3120, -66250]$	$y^2+xy=x^3-x^2-3120x-66250$	2.3.0.a.1, 264.6.0.?, 1020.6.0.?, 7480.6.0.?, 22440.12.0.?	$[]$
16830.j2	16830g1	16830.j	16830g	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{2} \cdot 3^{9} \cdot 5 \cdot 11^{2} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$22440$	$12$	$0$	$1$	$1$		$1$	$9216$	$0.398204$	$-19034163/41140$	$0.81484$	$2.89841$	$[1, -1, 0, -150, -1504]$	$y^2+xy=x^3-x^2-150x-1504$	2.3.0.a.1, 264.6.0.?, 510.6.0.?, 7480.6.0.?, 22440.12.0.?	$[]$
16830.k1	16830i2	16830.k	16830i	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ 2^{6} \cdot 3^{9} \cdot 5 \cdot 11^{2} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$11220$	$12$	$0$	$0.957676870$	$1$		$6$	$46080$	$1.296707$	$553529221679043/11190080$	$0.95852$	$4.50470$	$[1, -1, 0, -46185, 3831821]$	$y^2+xy=x^3-x^2-46185x+3831821$	2.3.0.a.1, 60.6.0.a.1, 2244.6.0.?, 3740.6.0.?, 11220.12.0.?	$[(10, 1831)]$
16830.k2	16830i1	16830.k	16830i	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ 2^{12} \cdot 3^{9} \cdot 5^{2} \cdot 11 \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$11220$	$12$	$0$	$1.915353740$	$1$		$5$	$23040$	$0.950134$	$149467669443/19148800$	$0.85943$	$3.66028$	$[1, -1, 0, -2985, 56141]$	$y^2+xy=x^3-x^2-2985x+56141$	2.3.0.a.1, 60.6.0.b.1, 1122.6.0.?, 3740.6.0.?, 11220.12.0.?	$[(2, 223)]$
16830.l1	16830t5	16830.l	16830t	$6$	$8$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ 2 \cdot 3^{8} \cdot 5^{2} \cdot 11^{2} \cdot 17^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.100	2B	$8976$	$192$	$1$	$3.114202236$	$1$		$4$	$393216$	$2.364475$	$2757381641970898311361/379829992662450$	$0.99188$	$5.75077$	$[1, -1, 0, -2629260, 1641423766]$	$y^2+xy=x^3-x^2-2629260x+1641423766$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 12.12.0-4.c.1.1, 24.48.0-8.r.1.6, $\ldots$	$[(947, -127)]$
16830.l2	16830t3	16830.l	16830t	$6$	$8$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ 2^{2} \cdot 3^{10} \cdot 5^{4} \cdot 11^{4} \cdot 17^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.22	2Cs	$4488$	$192$	$1$	$1.557101118$	$1$		$12$	$196608$	$2.017899$	$870220733067747361/247623269602500$	$0.96701$	$4.92237$	$[1, -1, 0, -179010, 20828416]$	$y^2+xy=x^3-x^2-179010x+20828416$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.c.1, 12.24.0-4.b.1.1, 24.48.0-8.c.1.1, $\ldots$	$[(122, 830)]$
16830.l3	16830t2	16830.l	16830t	$6$	$8$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ 2^{4} \cdot 3^{8} \cdot 5^{8} \cdot 11^{2} \cdot 17^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.25	2Cs	$4488$	$192$	$1$	$3.114202236$	$1$		$8$	$98304$	$1.671328$	$44633474953947361/1967006250000$	$0.94566$	$4.61713$	$[1, -1, 0, -66510, -6329084]$	$y^2+xy=x^3-x^2-66510x-6329084$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.h.1, 12.24.0-4.b.1.3, 24.48.0-8.h.1.8, $\ldots$	$[(-168, 370)]$
16830.l4	16830t1	16830.l	16830t	$6$	$8$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ 2^{8} \cdot 3^{7} \cdot 5^{4} \cdot 11 \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.5	2B	$8976$	$192$	$1$	$6.228404472$	$1$		$3$	$49152$	$1.324753$	$43199583152847841/89760000$	$0.99217$	$4.61378$	$[1, -1, 0, -65790, -6478700]$	$y^2+xy=x^3-x^2-65790x-6478700$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0.h.1, $\ldots$	$[(1373, 49214)]$
16830.l5	16830t4	16830.l	16830t	$6$	$8$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{2} \cdot 3^{7} \cdot 5^{16} \cdot 11 \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.5	2B	$8976$	$192$	$1$	$6.228404472$	$1$		$2$	$196608$	$2.017899$	$6213165856218719/342407226562500$	$0.99301$	$4.88164$	$[1, -1, 0, 34470, -23919800]$	$y^2+xy=x^3-x^2+34470x-23919800$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0.h.1, $\ldots$	$[(291, 3124)]$
16830.l6	16830t6	16830.l	16830t	$6$	$8$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ - 2 \cdot 3^{14} \cdot 5^{2} \cdot 11^{8} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.99	2B	$8976$	$192$	$1$	$0.778550559$	$1$		$8$	$393216$	$2.364475$	$15875306080318016639/20322604533582450$	$1.06055$	$5.24054$	$[1, -1, 0, 471240, 136963066]$	$y^2+xy=x^3-x^2+471240x+136963066$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.k.1, 12.12.0-4.c.1.1, 24.48.0-8.k.1.6, $\ldots$	$[(413, 19841)]$
16830.m1	16830b1	16830.m	16830b	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{9} \cdot 3^{3} \cdot 5^{7} \cdot 11^{5} \cdot 17 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$22440$	$2$	$0$	$4.794749633$	$1$		$2$	$100800$	$1.650841$	$22253722294800933/109514680000000$	$0.98179$	$4.41403$	$[1, -1, 0, 17580, 2453200]$	$y^2+xy=x^3-x^2+17580x+2453200$	22440.2.0.?	$[(-67, 1019)]$
16830.n1	16830a1	16830.n	16830a	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{4} \cdot 3^{9} \cdot 5^{3} \cdot 11^{5} \cdot 17 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$11220$	$2$	$0$	$3.610832213$	$1$		$2$	$57600$	$1.385954$	$-4368317413923/5475734000$	$0.94540$	$4.12555$	$[1, -1, 0, -9195, -601579]$	$y^2+xy=x^3-x^2-9195x-601579$	11220.2.0.?	$[(322, 5293)]$
16830.o1	16830j1	16830.o	16830j	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{8} \cdot 3^{9} \cdot 5 \cdot 11 \cdot 17 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$11220$	$2$	$0$	$1.421093535$	$1$		$2$	$10752$	$0.537847$	$-19034163/239360$	$0.81653$	$3.05962$	$[1, -1, 0, -150, -3340]$	$y^2+xy=x^3-x^2-150x-3340$	11220.2.0.?	$[(76, 610)]$
16830.p1	16830c1	16830.p	16830c	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ 2^{4} \cdot 3^{9} \cdot 5^{4} \cdot 11 \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2244$	$12$	$0$	$0.988668644$	$1$		$7$	$36864$	$0.985190$	$193802978403/31790000$	$0.86359$	$3.68697$	$[1, -1, 0, -3255, 61325]$	$y^2+xy=x^3-x^2-3255x+61325$	2.3.0.a.1, 66.6.0.a.1, 204.6.0.?, 748.6.0.?, 2244.12.0.?	$[(5, 210)]$
16830.p2	16830c2	16830.p	16830c	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{2} \cdot 3^{9} \cdot 5^{8} \cdot 11^{2} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2244$	$12$	$0$	$1.977337288$	$1$		$4$	$73728$	$1.331764$	$1168574089437/3214062500$	$0.91070$	$4.00751$	$[1, -1, 0, 5925, 338561]$	$y^2+xy=x^3-x^2+5925x+338561$	2.3.0.a.1, 102.6.0.?, 132.6.0.?, 748.6.0.?, 2244.12.0.?	$[(31, 727)]$
16830.q1	16830v1	16830.q	16830v	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{5} \cdot 3^{7} \cdot 5 \cdot 11 \cdot 17 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$22440$	$2$	$0$	$0.485991473$	$1$		$4$	$9600$	$0.503405$	$-496981290961/89760$	$1.01298$	$3.44508$	$[1, -1, 0, -1485, 22405]$	$y^2+xy=x^3-x^2-1485x+22405$	22440.2.0.?	$[(23, -7)]$
16830.r1	16830h1	16830.r	16830h	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ - 2 \cdot 3^{9} \cdot 5 \cdot 11 \cdot 17 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$22440$	$2$	$0$	$1$	$1$		$0$	$5952$	$0.131338$	$-19683/1870$	$0.80783$	$2.55700$	$[1, -1, 0, -15, -289]$	$y^2+xy=x^3-x^2-15x-289$	22440.2.0.?	$[]$
16830.s1	16830w1	16830.s	16830w	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ - 2 \cdot 3^{6} \cdot 5 \cdot 11^{2} \cdot 17 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$680$	$2$	$0$	$1.332865230$	$1$		$2$	$3840$	$0.062315$	$13651919/20570$	$0.77068$	$2.41430$	$[1, -1, 0, 45, 135]$	$y^2+xy=x^3-x^2+45x+135$	680.2.0.?	$[(7, 24)]$
16830.t1	16830z3	16830.t	16830z	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ 2^{5} \cdot 3^{8} \cdot 5 \cdot 11 \cdot 17^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$22440$	$48$	$0$	$4.665765013$	$4$	$2$	$2$	$163840$	$1.831997$	$66692696957462376289/1322972640$	$0.97805$	$5.36828$	$[1, -1, 0, -760374, -255014892]$	$y^2+xy=x^3-x^2-760374x-255014892$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 136.12.0.?, 408.24.0.?, $\ldots$	$[(1303, 30416)]$
16830.t2	16830z4	16830.t	16830z	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ 2^{5} \cdot 3^{14} \cdot 5^{4} \cdot 11^{4} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$22440$	$48$	$0$	$1.166441253$	$1$		$6$	$163840$	$1.831997$	$56751044592329569/32660264340000$	$1.10076$	$4.64182$	$[1, -1, 0, -72054, 571860]$	$y^2+xy=x^3-x^2-72054x+571860$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 136.12.0.?, 204.12.0.?, $\ldots$	$[(-39, 1842)]$
16830.t3	16830z2	16830.t	16830z	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 11^{2} \cdot 17^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$22440$	$48$	$0$	$2.332882506$	$1$		$8$	$81920$	$1.485424$	$16334668434139489/72511718400$	$1.01992$	$4.51383$	$[1, -1, 0, -47574, -3966732]$	$y^2+xy=x^3-x^2-47574x-3966732$	2.6.0.a.1, 24.12.0-2.a.1.1, 136.12.0.?, 204.12.0.?, 408.24.0.?, $\ldots$	$[(-123, 174)]$
16830.t4	16830z1	16830.t	16830z	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{20} \cdot 3^{8} \cdot 5 \cdot 11 \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$22440$	$48$	$0$	$4.665765013$	$1$		$3$	$40960$	$1.138849$	$-506071034209/8823767040$	$0.92619$	$3.80023$	$[1, -1, 0, -1494, -123660]$	$y^2+xy=x^3-x^2-1494x-123660$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 136.12.0.?, 204.12.0.?, $\ldots$	$[(285, 4605)]$
16830.u1	16830ba1	16830.u	16830ba	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ 2^{10} \cdot 3^{13} \cdot 5^{8} \cdot 11^{3} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.4	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$1075200$	$2.684147$	$118843307222596927933249/19794099600000000$	$1.00422$	$6.13753$	$[1, -1, 0, -9218484, 10773772240]$	$y^2+xy=x^3-x^2-9218484x+10773772240$	2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.?	$[]$
16830.u2	16830ba2	16830.u	16830ba	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{5} \cdot 3^{20} \cdot 5^{4} \cdot 11^{6} \cdot 17^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.5	2B	$4488$	$12$	$0$	$1$	$1$		$0$	$2150400$	$3.030720$	$-87323024620536113533249/48975797371840020000$	$1.00963$	$6.17549$	$[1, -1, 0, -8318484, 12960592240]$	$y^2+xy=x^3-x^2-8318484x+12960592240$	2.3.0.a.1, 8.6.0.a.1, 2244.6.0.?, 4488.12.0.?	$[]$
16830.v1	16830m3	16830.v	16830m	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 11 \cdot 17^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$22440$	$96$	$1$	$4.655784893$	$1$		$1$	$48384$	$1.293432$	$152298969481827/86468800$	$0.91751$	$4.37208$	$[1, -1, 0, -30039, -1995427]$	$y^2+xy=x^3-x^2-30039x-1995427$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 120.48.0.?, 1122.48.0.?, $\ldots$	$[(823/2, 4847/2)]$
16830.v2	16830m4	16830.v	16830m	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{3} \cdot 3^{9} \cdot 5 \cdot 11^{2} \cdot 17^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$22440$	$96$	$1$	$9.311569786$	$1$		$0$	$96768$	$1.640007$	$-84044939142627/116825833960$	$0.93377$	$4.43681$	$[1, -1, 0, -24639, -2739547]$	$y^2+xy=x^3-x^2-24639x-2739547$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 120.48.0.?, 2244.48.0.?, $\ldots$	$[(7279/6, 133045/6)]$
16830.v3	16830m1	16830.v	16830m	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ 2^{2} \cdot 3^{3} \cdot 5^{6} \cdot 11^{3} \cdot 17 $	$1$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$22440$	$96$	$1$	$1.551928297$	$1$		$15$	$16128$	$0.744127$	$6462919457883/1414187500$	$0.89944$	$3.36997$	$[1, -1, 0, -1164, 12348]$	$y^2+xy=x^3-x^2-1164x+12348$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 120.48.0.?, 1122.48.0.?, $\ldots$	$[(4, 86)]$
16830.v4	16830m2	16830.v	16830m	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ - 2 \cdot 3^{3} \cdot 5^{3} \cdot 11^{6} \cdot 17^{2} $	$1$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$22440$	$96$	$1$	$3.103856595$	$1$		$8$	$32256$	$1.090700$	$70819203762117/127995282250$	$0.93682$	$3.69337$	$[1, -1, 0, 2586, 73098]$	$y^2+xy=x^3-x^2+2586x+73098$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 120.48.0.?, 2244.48.0.?, $\ldots$	$[(-23, 44)]$
16830.w1	16830o4	16830.w	16830o	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ 2^{15} \cdot 3^{9} \cdot 5^{2} \cdot 11 \cdot 17^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$22440$	$96$	$1$	$1$	$9$	$3$	$0$	$967680$	$2.736706$	$785681552361835673854227/2604236800$	$1.02147$	$6.67032$	$[1, -1, 0, -51904464, -143918301952]$	$y^2+xy=x^3-x^2-51904464x-143918301952$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 264.48.0.?, 1020.48.0.?, $\ldots$	$[]$
16830.w2	16830o3	16830.w	16830o	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{30} \cdot 3^{9} \cdot 5 \cdot 11^{2} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$22440$	$96$	$1$	$1$	$9$	$3$	$1$	$483840$	$2.390133$	$-191808834096148160787/11043434659840$	$0.99316$	$5.81555$	$[1, -1, 0, -3243984, -2248180480]$	$y^2+xy=x^3-x^2-3243984x-2248180480$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 264.48.0.?, 510.48.0.?, $\ldots$	$[]$
16830.w3	16830o2	16830.w	16830o	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ 2^{5} \cdot 3^{3} \cdot 5^{6} \cdot 11^{3} \cdot 17^{6} $	$0$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$22440$	$96$	$1$	$1$	$1$		$4$	$322560$	$2.187401$	$1089365384367428097483/16063552169500000$	$1.08241$	$5.31663$	$[1, -1, 0, -643089, -195791427]$	$y^2+xy=x^3-x^2-643089x-195791427$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 264.48.0.?, 1020.48.0.?, $\ldots$	$[]$
16830.w4	16830o1	16830.w	16830o	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ - 2^{10} \cdot 3^{3} \cdot 5^{3} \cdot 11^{6} \cdot 17^{3} $	$0$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$22440$	$96$	$1$	$1$	$1$		$5$	$161280$	$1.840826$	$-305460292990923/1114070936704000$	$1.05007$	$4.66529$	$[1, -1, 0, -4209, -8344035]$	$y^2+xy=x^3-x^2-4209x-8344035$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 264.48.0.?, 510.48.0.?, $\ldots$	$[]$
16830.x1	16830bh4	16830.x	16830bh	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 $	$ 2^{3} \cdot 3^{10} \cdot 5^{6} \cdot 11^{6} \cdot 17^{3} $	$1$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$22440$	$96$	$1$	$1.500519471$	$1$		$14$	$663552$	$2.526958$	$628200507126935410849/88124751829125000$	$0.98942$	$5.59876$	$[1, -1, 0, -1605834, 682139340]$	$y^2+xy=x^3-x^2-1605834x+682139340$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 136.6.0.?, 220.6.0.?, $\ldots$	$[(51, 24477)]$

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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.

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