LMFDB - Elliptic curves over $\Q$ of conductor 8190

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Isogeny class degree	Cyclic isogeny degree	Isogeny class size	Integral points

Analytic order of Ш	$p\ $div$\ $\|Ш\|	Regulator	Reduction	Faltings height

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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
8190.a1	8190l7	8190.a	8190l	$8$	$16$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ 2^{2} \cdot 3^{14} \cdot 5 \cdot 7^{16} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.48.0.121	2B	$43680$	$768$	$13$	$11.29794847$	$1$		$0$	$1048576$	$3.279305$	$86623684689189325642735681/56690726941459561860$	$1.03541$	$7.35964$	$[1, -1, 0, -82962180, 290705753020]$	$y^2+xy=x^3-x^2-82962180x+290705753020$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0-4.c.1.1, 16.48.0.x.2, $\ldots$	$[(246119/2, 120585487/2)]$
8190.a2	8190l3	8190.a	8190l	$8$	$16$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ 2^{8} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	32.48.0.1	2B	$43680$	$768$	$13$	$11.29794847$	$4$	$2$	$0$	$262144$	$2.586159$	$19328649688935739391016961/1048320$	$1.03175$	$7.19317$	$[1, -1, 0, -50319360, -137376045824]$	$y^2+xy=x^3-x^2-50319360x-137376045824$	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.g.1, $\ldots$	$[(64275/2, 14253017/2)]$
8190.a3	8190l5	8190.a	8190l	$8$	$16$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ 2^{4} \cdot 3^{22} \cdot 5^{2} \cdot 7^{8} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.123	2Cs	$21840$	$768$	$13$	$5.648974237$	$1$		$4$	$524288$	$2.932732$	$36128658497509929012481/16775330746084419600$	$1.03087$	$6.49597$	$[1, -1, 0, -6198480, 2642292400]$	$y^2+xy=x^3-x^2-6198480x+2642292400$	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 12.24.0-4.b.1.1, 24.96.0-8.k.1.1, $\ldots$	$[(-2440, 58100)]$
8190.a4	8190l4	8190.a	8190l	$8$	$16$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ 2^{8} \cdot 3^{14} \cdot 5^{4} \cdot 7^{4} \cdot 13^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.44	2Cs	$21840$	$768$	$13$	$2.824487118$	$1$		$6$	$262144$	$2.586159$	$4770955732122964500481/71987251059360000$	$1.00850$	$6.27129$	$[1, -1, 0, -3156480, -2129388800]$	$y^2+xy=x^3-x^2-3156480x-2129388800$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 12.48.0-4.b.1.1, 24.96.0-8.b.2.6, $\ldots$	$[(2208, 39664)]$
8190.a5	8190l2	8190.a	8190l	$8$	$16$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ 2^{16} \cdot 3^{10} \cdot 5^{2} \cdot 7^{2} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.48.0.3	2Cs	$21840$	$768$	$13$	$5.648974237$	$1$		$4$	$131072$	$2.239582$	$4718909406724749250561/1098974822400$	$1.00819$	$6.27007$	$[1, -1, 0, -3144960, -2145910784]$	$y^2+xy=x^3-x^2-3144960x-2145910784$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 12.24.0-4.b.1.3, 16.48.0.d.2, $\ldots$	$[(15360, 1882624)]$
8190.a6	8190l6	8190.a	8190l	$8$	$16$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{4} \cdot 3^{10} \cdot 5^{8} \cdot 7^{2} \cdot 13^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.197	2B	$43680$	$768$	$13$	$1.412243559$	$1$		$4$	$524288$	$2.932732$	$-4047051964543660801/20235220197806250000$	$1.07811$	$6.49236$	$[1, -1, 0, -298800, -5843801264]$	$y^2+xy=x^3-x^2-298800x-5843801264$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 12.24.0-4.d.1.1, 24.96.0-8.n.2.6, $\ldots$	$[(3888, 225556)]$
8190.a7	8190l1	8190.a	8190l	$8$	$16$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{32} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	32.48.0.1	2B	$43680$	$768$	$13$	$11.29794847$	$1$		$1$	$65536$	$1.893009$	$-1139466686381936641/17587891077120$	$0.97723$	$5.34867$	$[1, -1, 0, -195840, -33751040]$	$y^2+xy=x^3-x^2-195840x-33751040$	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.g.1, $\ldots$	$[(176441/16, 50125739/16)]$
8190.a8	8190l8	8190.a	8190l	$8$	$16$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{2} \cdot 3^{38} \cdot 5 \cdot 7^{4} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.48.0.134	2B	$43680$	$768$	$13$	$11.29794847$	$1$		$0$	$1048576$	$3.279305$	$1591934139020114746758719/1156766383092650262660$	$1.04258$	$6.91610$	$[1, -1, 0, 21893220, 19929924580]$	$y^2+xy=x^3-x^2+21893220x+19929924580$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 12.12.0-4.c.1.1, 16.48.0.u.2, $\ldots$	$[(-7827/4, 6121801/4)]$
8190.b1	8190i1	8190.b	8190i	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ 2^{22} \cdot 3^{9} \cdot 5 \cdot 7^{7} \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$1$	$591360$	$2.854485$	$1358496453776544375572161/78807337984327680$	$1.02489$	$6.89850$	$[1, -1, 0, -20766060, 36426664656]$	$y^2+xy=x^3-x^2-20766060x+36426664656$	2.3.0.a.1, 104.6.0.?, 210.6.0.?, 10920.12.0.?	$[]$
8190.b2	8190i2	8190.b	8190i	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{11} \cdot 3^{12} \cdot 5^{2} \cdot 7^{14} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$0$	$1182720$	$3.201057$	$-1136669439536177967564481/329089027143166617600$	$1.02805$	$6.92373$	$[1, -1, 0, -19567980, 40813794000]$	$y^2+xy=x^3-x^2-19567980x+40813794000$	2.3.0.a.1, 104.6.0.?, 420.6.0.?, 10920.12.0.?	$[]$
8190.c1	8190h1	8190.c	8190h	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ 2^{2} \cdot 3^{8} \cdot 5 \cdot 7^{2} \cdot 13^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$15360$	$1.067884$	$959781554388721/19377540$	$0.94101$	$4.56008$	$[1, -1, 0, -18495, -963495]$	$y^2+xy=x^3-x^2-18495x-963495$	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[]$
8190.c2	8190h2	8190.c	8190h	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ - 2 \cdot 3^{10} \cdot 5^{2} \cdot 7 \cdot 13^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$0$	$30720$	$1.414457$	$-865005601073041/136840035150$	$0.94389$	$4.57536$	$[1, -1, 0, -17865, -1032669]$	$y^2+xy=x^3-x^2-17865x-1032669$	2.3.0.a.1, 56.6.0.b.1, 260.6.0.?, 3640.12.0.?	$[]$
8190.d1	8190g1	8190.d	8190g	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ 2^{10} \cdot 3^{8} \cdot 5^{3} \cdot 7^{2} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$15360$	$0.941277$	$1345938541921/733824000$	$0.93842$	$3.83099$	$[1, -1, 0, -2070, -8204]$	$y^2+xy=x^3-x^2-2070x-8204$	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[]$
8190.d2	8190g2	8190.d	8190g	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{5} \cdot 3^{10} \cdot 5^{6} \cdot 7 \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$0$	$30720$	$1.287849$	$77958456780959/47911500000$	$0.96593$	$4.28147$	$[1, -1, 0, 8010, -70700]$	$y^2+xy=x^3-x^2+8010x-70700$	2.3.0.a.1, 56.6.0.b.1, 260.6.0.?, 3640.12.0.?	$[]$
8190.e1	8190a2	8190.e	8190a	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ 2 \cdot 3^{3} \cdot 5 \cdot 7^{4} \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$0.891040307$	$1$		$6$	$2560$	$0.232449$	$7111117467/4057690$	$0.93056$	$2.88333$	$[1, -1, 0, -120, 90]$	$y^2+xy=x^3-x^2-120x+90$	2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.?	$[(-9, 24)]$
8190.e2	8190a1	8190.e	8190a	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$0.445520153$	$1$		$9$	$1280$	$-0.114125$	$108531333/63700$	$0.87684$	$2.41918$	$[1, -1, 0, 30, 0]$	$y^2+xy=x^3-x^2+30x$	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[(3, 9)]$
8190.f1	8190j2	8190.f	8190j	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ 2^{7} \cdot 3^{6} \cdot 5^{10} \cdot 7 \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$0$	$53760$	$1.629826$	$19683218700810001/1478750000000$	$0.95936$	$4.89533$	$[1, -1, 0, -50625, 4102461]$	$y^2+xy=x^3-x^2-50625x+4102461$	2.3.0.a.1, 56.6.0.a.1, 260.6.0.?, 3640.12.0.?	$[]$
8190.f2	8190j1	8190.f	8190j	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ 2^{14} \cdot 3^{6} \cdot 5^{5} \cdot 7^{2} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$26880$	$1.283253$	$166021325905681/32614400000$	$0.93577$	$4.36536$	$[1, -1, 0, -10305, -324675]$	$y^2+xy=x^3-x^2-10305x-324675$	2.3.0.a.1, 56.6.0.d.1, 130.6.0.?, 3640.12.0.?	$[]$
8190.g1	8190k5	8190.g	8190k	$6$	$8$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ 2 \cdot 3^{8} \cdot 5^{8} \cdot 7^{2} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.5	2B	$21840$	$192$	$1$	$2.394940853$	$1$		$4$	$65536$	$1.797745$	$25306558948218234961/4478906250$	$0.98968$	$5.68984$	$[1, -1, 0, -550485, 157342675]$	$y^2+xy=x^3-x^2-550485x+157342675$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 24.24.0-8.n.1.10, $\ldots$	$[(431, -130)]$
8190.g2	8190k3	8190.g	8190k	$6$	$8$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ 2^{2} \cdot 3^{10} \cdot 5^{4} \cdot 7^{4} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.3	2Cs	$10920$	$192$	$1$	$1.197470426$	$1$		$12$	$32768$	$1.451172$	$6237734630203441/82168222500$	$0.95187$	$4.76780$	$[1, -1, 0, -34515, 2448481]$	$y^2+xy=x^3-x^2-34515x+2448481$	2.6.0.a.1, 4.12.0.b.1, 12.24.0-4.b.1.1, 40.24.0.h.2, 56.24.0-4.b.1.8, $\ldots$	$[(80, 401)]$
8190.g3	8190k6	8190.g	8190k	$6$	$8$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ - 2 \cdot 3^{14} \cdot 5^{2} \cdot 7^{8} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.5	2B	$21840$	$192$	$1$	$2.394940853$	$1$		$4$	$65536$	$1.797745$	$-22143063655441/24584858584650$	$1.02652$	$4.98077$	$[1, -1, 0, -5265, 6444031]$	$y^2+xy=x^3-x^2-5265x+6444031$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 24.24.0-8.n.1.10, $\ldots$	$[(-13, 2558)]$
8190.g4	8190k2	8190.g	8190k	$6$	$8$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 7^{2} \cdot 13^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.3	2Cs	$10920$	$192$	$1$	$0.598735213$	$1$		$18$	$16384$	$1.104597$	$10418796526321/5038160400$	$0.93705$	$4.05811$	$[1, -1, 0, -4095, -39875]$	$y^2+xy=x^3-x^2-4095x-39875$	2.6.0.a.1, 4.12.0.b.1, 12.24.0-4.b.1.3, 40.24.0.h.1, 56.24.0-4.b.1.7, $\ldots$	$[(98, 653)]$
8190.g5	8190k1	8190.g	8190k	$6$	$8$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ 2^{8} \cdot 3^{7} \cdot 5 \cdot 7 \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.5	2B	$21840$	$192$	$1$	$1.197470426$	$1$		$7$	$8192$	$0.758024$	$5832972054001/4542720$	$0.90705$	$3.99373$	$[1, -1, 0, -3375, -74579]$	$y^2+xy=x^3-x^2-3375x-74579$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 24.24.0-8.n.1.12, $\ldots$	$[(-33, 23)]$
8190.g6	8190k4	8190.g	8190k	$6$	$8$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{2} \cdot 3^{7} \cdot 5 \cdot 7 \cdot 13^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.5	2B	$21840$	$192$	$1$	$1.197470426$	$1$		$6$	$32768$	$1.451172$	$492271755328079/342606902820$	$0.96343$	$4.48598$	$[1, -1, 0, 14805, -315815]$	$y^2+xy=x^3-x^2+14805x-315815$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 24.24.0-8.n.1.12, $\ldots$	$[(63, 898)]$
8190.h1	8190m7	8190.h	8190m	$8$	$12$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ 2 \cdot 3^{14} \cdot 5 \cdot 7^{3} \cdot 13^{3} $	$0$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.6.0.1, 3.8.0.1	2B, 3B.1.1	$10920$	$384$	$5$	$1$	$4$	$2$	$4$	$884736$	$3.137089$	$7179471593960193209684686321/49441793310$	$1.08778$	$7.84988$	$[1, -1, 0, -361714095, 2647958009895]$	$y^2+xy=x^3-x^2-361714095x+2647958009895$	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.48.0-12.g.1.12, $\ldots$	$[]$
8190.h2	8190m6	8190.h	8190m	$8$	$12$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ 2^{2} \cdot 3^{10} \cdot 5^{2} \cdot 7^{6} \cdot 13^{6} $	$0$	$\Z/2\Z\oplus\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.6.0.1, 3.8.0.1	2Cs, 3B.1.1	$10920$	$384$	$5$	$1$	$1$		$10$	$442368$	$2.790516$	$1752803993935029634719121/4599740941532100$	$1.10170$	$6.92678$	$[1, -1, 0, -22607145, 41378528025]$	$y^2+xy=x^3-x^2-22607145x+41378528025$	2.6.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.a.1.1, 12.96.0-12.a.2.13, 56.12.0.a.1, $\ldots$	$[]$
8190.h3	8190m8	8190.h	8190m	$8$	$12$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ - 2 \cdot 3^{8} \cdot 5^{4} \cdot 7^{3} \cdot 13^{12} $	$0$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.6.0.1, 3.8.0.1	2B, 3B.1.1	$10920$	$384$	$5$	$1$	$1$		$4$	$884736$	$3.137089$	$-1688971789881664420008241/89901485966373558750$	$1.02626$	$6.93243$	$[1, -1, 0, -22329315, 42444895131]$	$y^2+xy=x^3-x^2-22329315x+42444895131$	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.96.0-12.c.4.5, $\ldots$	$[]$
8190.h4	8190m4	8190.h	8190m	$8$	$12$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ 2^{3} \cdot 3^{30} \cdot 5^{3} \cdot 7 \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.6.0.1, 3.8.0.2	2B, 3B.1.2	$10920$	$384$	$5$	$1$	$4$	$2$	$0$	$294912$	$2.587780$	$13527956825588849127121/25701087819771000$	$1.13639$	$6.38695$	$[1, -1, 0, -4467645, 3629825325]$	$y^2+xy=x^3-x^2-4467645x+3629825325$	2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.48.0-12.g.1.10, $\ldots$	$[]$
8190.h5	8190m3	8190.h	8190m	$8$	$12$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ 2^{4} \cdot 3^{8} \cdot 5 \cdot 7^{12} \cdot 13^{3} $	$0$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.6.0.1, 3.8.0.1	2B, 3B.1.1	$10920$	$384$	$5$	$1$	$1$		$5$	$221184$	$2.443939$	$443915739051786565201/21894701746029840$	$1.00118$	$6.00775$	$[1, -1, 0, -1430325, 630090981]$	$y^2+xy=x^3-x^2-1430325x+630090981$	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.96.0-12.c.2.7, $\ldots$	$[]$
8190.h6	8190m2	8190.h	8190m	$8$	$12$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ 2^{6} \cdot 3^{18} \cdot 5^{6} \cdot 7^{2} \cdot 13^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.6.0.1, 3.8.0.2	2Cs, 3B.1.2	$10920$	$384$	$5$	$1$	$1$		$2$	$147456$	$2.241207$	$7850236389974007121/4400862921000000$	$1.02525$	$5.55994$	$[1, -1, 0, -372645, 15578325]$	$y^2+xy=x^3-x^2-372645x+15578325$	2.6.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.a.1.2, 12.96.0-12.a.1.15, 56.12.0.a.1, $\ldots$	$[]$
8190.h7	8190m1	8190.h	8190m	$8$	$12$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ 2^{12} \cdot 3^{12} \cdot 5^{3} \cdot 7^{4} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.6.0.1, 3.8.0.2	2B, 3B.1.2	$10920$	$384$	$5$	$1$	$1$		$1$	$73728$	$1.894634$	$1882742462388824401/11650189824000$	$0.97921$	$5.40148$	$[1, -1, 0, -231525, -42591339]$	$y^2+xy=x^3-x^2-231525x-42591339$	2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.96.0-12.c.1.6, $\ldots$	$[]$
8190.h8	8190m5	8190.h	8190m	$8$	$12$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{3} \cdot 3^{12} \cdot 5^{12} \cdot 7 \cdot 13^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.6.0.1, 3.8.0.2	2B, 3B.1.2	$10920$	$384$	$5$	$1$	$1$		$0$	$294912$	$2.587780$	$476437916651992691759/284661685546875000$	$1.03857$	$6.01560$	$[1, -1, 0, 1464435, 122496381]$	$y^2+xy=x^3-x^2+1464435x+122496381$	2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.96.0-12.c.3.3, $\ldots$	$[]$
8190.i1	8190n5	8190.i	8190n	$6$	$8$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ 2^{3} \cdot 3^{8} \cdot 5^{16} \cdot 7 \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.1	2B	$4368$	$192$	$1$	$1$	$4$	$2$	$0$	$393216$	$2.552578$	$10934663514379917006241/12996826171875000$	$1.01089$	$6.36333$	$[1, -1, 0, -4161690, 3265462300]$	$y^2+xy=x^3-x^2-4161690x+3265462300$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0.e.1, $\ldots$	$[]$
8190.i2	8190n3	8190.i	8190n	$6$	$8$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ 2^{6} \cdot 3^{7} \cdot 5^{2} \cdot 7^{8} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.90	2B	$4368$	$192$	$1$	$1$	$1$		$0$	$196608$	$2.206005$	$4078208988807294650401/359723582400$	$1.00772$	$6.25388$	$[1, -1, 0, -2995650, -1994902700]$	$y^2+xy=x^3-x^2-2995650x-1994902700$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0-4.c.1.2, 24.48.0-8.bb.2.5, $\ldots$	$[]$
8190.i3	8190n4	8190.i	8190n	$6$	$8$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ 2^{6} \cdot 3^{10} \cdot 5^{8} \cdot 7^{2} \cdot 13^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.10	2Cs	$2184$	$192$	$1$	$1$	$1$		$2$	$196608$	$2.206005$	$5391051390768345121/2833965225000000$	$1.01105$	$5.51823$	$[1, -1, 0, -328770, 22045396]$	$y^2+xy=x^3-x^2-328770x+22045396$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 12.24.0-4.b.1.1, 24.48.0-8.e.2.1, $\ldots$	$[]$
8190.i4	8190n2	8190.i	8190n	$6$	$8$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ 2^{12} \cdot 3^{8} \cdot 5^{4} \cdot 7^{4} \cdot 13^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.18	2Cs	$2184$	$192$	$1$	$1$	$1$		$2$	$98304$	$1.859430$	$1002404925316922401/9348917760000$	$0.97654$	$5.33152$	$[1, -1, 0, -187650, -30987500]$	$y^2+xy=x^3-x^2-187650x-30987500$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0-4.b.1.3, 24.48.0-8.e.1.9, $\ldots$	$[]$
8190.i5	8190n1	8190.i	8190n	$6$	$8$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{24} \cdot 3^{7} \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.13	2B	$4368$	$192$	$1$	$1$	$1$		$1$	$49152$	$1.512856$	$-5602762882081/801531494400$	$0.99253$	$4.60124$	$[1, -1, 0, -3330, -1164524]$	$y^2+xy=x^3-x^2-3330x-1164524$	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.e.2, $\ldots$	$[]$
8190.i6	8190n6	8190.i	8190n	$6$	$8$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{3} \cdot 3^{14} \cdot 5^{4} \cdot 7 \cdot 13^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.88	2B	$4368$	$192$	$1$	$1$	$1$		$0$	$393216$	$2.552578$	$293623352309352854879/187320324116835000$	$1.02562$	$5.96188$	$[1, -1, 0, 1246230, 171040396]$	$y^2+xy=x^3-x^2+1246230x+171040396$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.1, 24.48.0-8.bb.1.1, $\ldots$	$[]$
8190.j1	8190b4	8190.j	8190b	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ 2^{6} \cdot 3^{9} \cdot 5^{6} \cdot 7^{6} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$5460$	$96$	$1$	$0.763638730$	$1$		$8$	$82944$	$1.901119$	$16751080718799363/1529437000000$	$0.97008$	$5.24320$	$[1, -1, 0, -143925, 19323125]$	$y^2+xy=x^3-x^2-143925x+19323125$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 156.48.0.?, 420.48.0.?, $\ldots$	$[(50, 3475)]$
8190.j2	8190b2	8190.j	8190b	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 13^{3} $	$1$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$5460$	$96$	$1$	$2.290916190$	$1$		$10$	$27648$	$1.351814$	$11387025941627437947/10765300$	$0.99878$	$5.23544$	$[1, -1, 0, -140610, 20329416]$	$y^2+xy=x^3-x^2-140610x+20329416$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 156.48.0.?, 420.48.0.?, $\ldots$	$[(210, 66)]$
8190.j3	8190b3	8190.j	8190b	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ 2^{12} \cdot 3^{9} \cdot 5^{3} \cdot 7^{3} \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$5460$	$96$	$1$	$1.527277460$	$1$		$7$	$41472$	$1.554546$	$177381177331203/29679104000$	$0.97925$	$4.73848$	$[1, -1, 0, -31605, -1815499]$	$y^2+xy=x^3-x^2-31605x-1815499$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 156.48.0.?, 210.48.0.?, $\ldots$	$[(-70, 259)]$
8190.j4	8190b1	8190.j	8190b	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ 2^{4} \cdot 3^{3} \cdot 5 \cdot 7 \cdot 13^{6} $	$1$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$5460$	$96$	$1$	$4.581832380$	$1$		$5$	$13824$	$1.005239$	$2781982314427707/2703013040$	$0.98968$	$4.31242$	$[1, -1, 0, -8790, 319140]$	$y^2+xy=x^3-x^2-8790x+319140$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 156.48.0.?, 210.48.0.?, $\ldots$	$[(472/3, -214/3)]$
8190.k1	8190q3	8190.k	8190q	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ 2^{7} \cdot 3^{8} \cdot 5^{12} \cdot 7^{5} \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$10920$	$48$	$0$	$9.552982049$	$1$		$0$	$2580480$	$3.698326$	$121966864931689155376172184529/135006954468750000000$	$1.05100$	$8.16423$	$[1, -1, 0, -929854989, -10913430473627]$	$y^2+xy=x^3-x^2-929854989x-10913430473627$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 56.12.0.s.1, 84.12.0.?, $\ldots$	$[(-2975847/13, 12451843/13)]$
8190.k2	8190q4	8190.k	8190q	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ 2^{7} \cdot 3^{8} \cdot 5^{3} \cdot 7^{20} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$10920$	$48$	$0$	$9.552982049$	$1$		$2$	$2580480$	$3.698326$	$441940971557374648005559249/149371122509129665872000$	$1.04696$	$7.54049$	$[1, -1, 0, -142820109, 423732779365]$	$y^2+xy=x^3-x^2-142820109x+423732779365$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 56.12.0.y.1, 168.24.0.?, $\ldots$	$[(119921, 41266487)]$
8190.k3	8190q2	8190.k	8190q	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ 2^{14} \cdot 3^{10} \cdot 5^{6} \cdot 7^{10} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$10920$	$48$	$0$	$4.776491024$	$1$		$6$	$1290240$	$3.351749$	$30496269316997451137719249/989901742991616000000$	$1.03340$	$7.24378$	$[1, -1, 0, -58580109, -167648868635]$	$y^2+xy=x^3-x^2-58580109x-167648868635$	2.6.0.a.1, 24.12.0-2.a.1.1, 56.12.0.b.1, 84.12.0.?, 168.24.0.?, $\ldots$	$[(-4879, 47192)]$
8190.k4	8190q1	8190.k	8190q	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{28} \cdot 3^{14} \cdot 5^{3} \cdot 7^{5} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$10920$	$48$	$0$	$9.552982049$	$1$		$1$	$645120$	$3.005177$	$224501959288069776431/48100930939256832000$	$1.05722$	$6.58814$	$[1, -1, 0, 1139571, -8997566747]$	$y^2+xy=x^3-x^2+1139571x-8997566747$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 56.12.0.y.1, 84.12.0.?, $\ldots$	$[(671723/17, 381259957/17)]$
8190.l1	8190s1	8190.l	8190s	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{5} \cdot 3^{6} \cdot 5^{2} \cdot 7 \cdot 13 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$728$	$2$	$0$	$1$	$1$		$0$	$3360$	$0.276975$	$-3862503009/72800$	$0.85780$	$3.18492$	$[1, -1, 0, -294, -1900]$	$y^2+xy=x^3-x^2-294x-1900$	728.2.0.?	$[]$
8190.m1	8190d1	8190.m	8190d	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ 2^{2} \cdot 3^{3} \cdot 5^{5} \cdot 7 \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$0.176915279$	$1$		$13$	$7680$	$0.768144$	$4465226119563/2499087500$	$1.05715$	$3.59831$	$[1, -1, 0, -1029, -2047]$	$y^2+xy=x^3-x^2-1029x-2047$	2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.?	$[(37, 79)]$
8190.m2	8190d2	8190.m	8190d	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ - 2 \cdot 3^{3} \cdot 5^{10} \cdot 7^{2} \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$0.353830558$	$1$		$8$	$15360$	$1.114717$	$270250212973077/161738281250$	$1.17635$	$4.05366$	$[1, -1, 0, 4041, -19285]$	$y^2+xy=x^3-x^2+4041x-19285$	2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.?	$[(11, 157)]$
8190.n1	8190c2	8190.n	8190c	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 $	$ 2^{7} \cdot 3^{3} \cdot 5 \cdot 7^{8} \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$2.589790868$	$1$		$4$	$21504$	$1.246191$	$2332898469575883/623520876160$	$0.99824$	$4.29288$	$[1, -1, 0, -8289, 215165]$	$y^2+xy=x^3-x^2-8289x+215165$	2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.?	$[(19, 244)]$

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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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