LMFDB - Elliptic curve search results

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Conductor	Discriminant	j-invariant	Rank

Bad$\ p$	Curves per isogeny class	Complex multiplication	Torsion

Isogeny class degree	Cyclic isogeny degree	Isogeny class size	Integral points

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

Galois image	Adelic level	Adelic index	Adelic genus

Nonmax$\ \ell$	$abc$ quality	Szpiro ratio

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Results (41 matches)

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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	Semistable	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
429.b4	429b2	429.b	429b	$6$	$8$	$ 3 \cdot 11 \cdot 13 $	$ 3^{4} \cdot 11^{2} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.24.0.5	2Cs	$3432$	$192$	$1$	$2.115453196$	$1$		$12$	$128$	$0.194522$	$8732907467857/1656369$	$0.94339$	$4.91600$	$[1, 0, 0, -429, 3384]$	$y^2+xy=x^3-429x+3384$	2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.m.1.6, 88.48.0.?, 104.48.0.?, $\ldots$	$[(24, 72)]$
1287.e4	1287e2	1287.e	1287e	$6$	$8$	$ 3^{2} \cdot 11 \cdot 13 $	$ 3^{10} \cdot 11^{2} \cdot 13^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.24	2Cs	$3432$	$192$	$1$	$1$	$4$	$2$	$2$	$1024$	$0.743828$	$8732907467857/1656369$	$0.94339$	$5.08232$	$[1, -1, 0, -3861, -91368]$	$y^2+xy=x^3-x^2-3861x-91368$	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.5, 12.24.0-4.b.1.3, 24.48.0-24.m.1.1, $\ldots$	$[]$
4719.k4	4719j2	4719.k	4719j	$6$	$8$	$ 3 \cdot 11^{2} \cdot 13 $	$ 3^{4} \cdot 11^{8} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.9	2Cs	$3432$	$192$	$1$	$7.495147205$	$1$		$2$	$15360$	$1.393469$	$8732907467857/1656369$	$0.94339$	$5.22327$	$[1, 0, 1, -51912, -4556015]$	$y^2+xy+y=x^3-51912x-4556015$	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 24.48.0-24.m.1.14, 44.24.0-4.b.1.3, $\ldots$	$[(3575/2, 202437/2)]$
5577.g4	5577g2	5577.g	5577g	$6$	$8$	$ 3 \cdot 11 \cdot 13^{2} $	$ 3^{4} \cdot 11^{2} \cdot 13^{8} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.9	2Cs	$3432$	$192$	$1$	$4.282020059$	$1$		$4$	$21504$	$1.476997$	$8732907467857/1656369$	$0.94339$	$5.23831$	$[1, 0, 1, -72505, 7507151]$	$y^2+xy+y=x^3-72505x+7507151$	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 24.48.0-24.m.1.7, 44.24.0-4.b.1.2, $\ldots$	$[(2185, 100307)]$
6864.e4	6864r2	6864.e	6864r	$6$	$8$	$ 2^{4} \cdot 3 \cdot 11 \cdot 13 $	$ 2^{12} \cdot 3^{4} \cdot 11^{2} \cdot 13^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.24.0.6	2Cs	$3432$	$192$	$1$	$1$	$1$		$3$	$8192$	$0.887670$	$8732907467857/1656369$	$0.94339$	$4.31466$	$[0, -1, 0, -6864, -216576]$	$y^2=x^3-x^2-6864x-216576$	2.6.0.a.1, 4.24.0-4.b.1.1, 24.48.0-24.m.1.3, 88.48.0.?, 104.48.0.?, $\ldots$	$[]$
10725.h4	10725a2	10725.h	10725a	$6$	$8$	$ 3 \cdot 5^{2} \cdot 11 \cdot 13 $	$ 3^{4} \cdot 5^{6} \cdot 11^{2} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.3	2Cs	$17160$	$192$	$1$	$1.863908956$	$1$		$6$	$16384$	$0.999241$	$8732907467857/1656369$	$0.94339$	$4.25144$	$[1, 1, 0, -10725, 423000]$	$y^2+xy=x^3+x^2-10725x+423000$	2.6.0.a.1, 4.12.0.b.1, 20.24.0-4.b.1.3, 24.24.0.m.1, 88.24.0.?, $\ldots$	$[(56, 16)]$
14157.f4	14157l2	14157.f	14157l	$6$	$8$	$ 3^{2} \cdot 11^{2} \cdot 13 $	$ 3^{10} \cdot 11^{8} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.9	2Cs	$3432$	$192$	$1$	$3.768608877$	$1$		$4$	$122880$	$1.942776$	$8732907467857/1656369$	$0.94339$	$5.31255$	$[1, -1, 1, -467204, 123012398]$	$y^2+xy+y=x^3-x^2-467204x+123012398$	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 24.48.0-24.m.1.14, 88.48.0.?, $\ldots$	$[(411, 334)]$
16731.c4	16731h2	16731.c	16731h	$6$	$8$	$ 3^{2} \cdot 11 \cdot 13^{2} $	$ 3^{10} \cdot 11^{2} \cdot 13^{8} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.14	2Cs	$3432$	$192$	$1$	$1$	$4$	$2$	$2$	$172032$	$2.026302$	$8732907467857/1656369$	$0.94339$	$5.32436$	$[1, -1, 1, -652541, -202693084]$	$y^2+xy+y=x^3-x^2-652541x-202693084$	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 24.48.0-24.m.1.10, 88.48.0.?, $\ldots$	$[]$
20592.bl4	20592bg2	20592.bl	20592bg	$6$	$8$	$ 2^{4} \cdot 3^{2} \cdot 11 \cdot 13 $	$ 2^{12} \cdot 3^{10} \cdot 11^{2} \cdot 13^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.24	2Cs	$3432$	$192$	$1$	$1$	$1$		$3$	$65536$	$1.436975$	$8732907467857/1656369$	$0.94339$	$4.50107$	$[0, 0, 0, -61779, 5909330]$	$y^2=x^3-61779x+5909330$	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.5, 12.24.0-4.b.1.1, 24.48.0-24.m.1.5, $\ldots$	$[]$
21021.e4	21021b2	21021.e	21021b	$6$	$8$	$ 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ 3^{4} \cdot 7^{6} \cdot 11^{2} \cdot 13^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.3	2Cs	$24024$	$192$	$1$	$1$	$1$		$2$	$49152$	$1.167477$	$8732907467857/1656369$	$0.94339$	$4.16683$	$[1, 1, 1, -21022, -1181734]$	$y^2+xy+y=x^3+x^2-21022x-1181734$	2.6.0.a.1, 4.12.0.b.1, 24.24.0.m.1, 28.24.0-4.b.1.3, 88.24.0.?, $\ldots$	$[]$
27456.z4	27456p2	27456.z	27456p	$6$	$8$	$ 2^{6} \cdot 3 \cdot 11 \cdot 13 $	$ 2^{18} \cdot 3^{4} \cdot 11^{2} \cdot 13^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.21	2Cs	$3432$	$192$	$1$	$1$	$1$		$3$	$65536$	$1.234243$	$8732907467857/1656369$	$0.94339$	$4.13634$	$[0, -1, 0, -27457, 1760065]$	$y^2=x^3-x^2-27457x+1760065$	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.2, 24.48.0-24.m.1.11, 88.48.0.?, $\ldots$	$[]$
27456.cf4	27456bz2	27456.cf	27456bz	$6$	$8$	$ 2^{6} \cdot 3 \cdot 11 \cdot 13 $	$ 2^{18} \cdot 3^{4} \cdot 11^{2} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.20	2Cs	$3432$	$192$	$1$	$5.067680681$	$1$		$5$	$65536$	$1.234243$	$8732907467857/1656369$	$0.94339$	$4.13634$	$[0, 1, 0, -27457, -1760065]$	$y^2=x^3+x^2-27457x-1760065$	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.11, 24.48.0-24.m.1.15, 88.48.0.?, $\ldots$	$[(266, 3135)]$
32175.j4	32175p2	32175.j	32175p	$6$	$8$	$ 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 $	$ 3^{10} \cdot 5^{6} \cdot 11^{2} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.3	2Cs	$17160$	$192$	$1$	$2.606787476$	$1$		$8$	$131072$	$1.548548$	$8732907467857/1656369$	$0.94339$	$4.43652$	$[1, -1, 1, -96530, -11517528]$	$y^2+xy+y=x^3-x^2-96530x-11517528$	2.6.0.a.1, 4.12.0.b.1, 24.24.0.m.1, 40.24.0-4.b.1.5, 60.24.0-4.b.1.3, $\ldots$	$[(-180, 51)]$
61347.i4	61347z2	61347.i	61347z	$6$	$8$	$ 3 \cdot 11^{2} \cdot 13^{2} $	$ 3^{4} \cdot 11^{8} \cdot 13^{8} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.24.0.3	2Cs	$3432$	$192$	$1$	$16.02831005$	$1$		$2$	$2580480$	$2.675945$	$8732907467857/1656369$	$0.94339$	$5.40399$	$[1, 0, 0, -8773047, -10000791360]$	$y^2+xy=x^3-8773047x-10000791360$	2.6.0.a.1, 4.24.0-4.b.1.2, 24.48.0-24.m.1.18, 88.48.0.?, 104.48.0.?, $\ldots$	$[(17059980/47, 63842489130/47)]$
63063.w4	63063t2	63063.w	63063t	$6$	$8$	$ 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 $	$ 3^{10} \cdot 7^{6} \cdot 11^{2} \cdot 13^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.3	2Cs	$24024$	$192$	$1$	$1$	$1$		$2$	$393216$	$1.716784$	$8732907467857/1656369$	$0.94339$	$4.34905$	$[1, -1, 0, -189198, 31717615]$	$y^2+xy=x^3-x^2-189198x+31717615$	2.6.0.a.1, 4.12.0.b.1, 24.24.0.m.1, 56.24.0-4.b.1.5, 84.24.0.?, $\ldots$	$[]$
75504.j4	75504bj2	75504.j	75504bj	$6$	$8$	$ 2^{4} \cdot 3 \cdot 11^{2} \cdot 13 $	$ 2^{12} \cdot 3^{4} \cdot 11^{8} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.14	2Cs	$3432$	$192$	$1$	$2.967070468$	$1$		$7$	$983040$	$2.086617$	$8732907467857/1656369$	$0.94339$	$4.67446$	$[0, -1, 0, -830584, 291584944]$	$y^2=x^3-x^2-830584x+291584944$	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 24.48.0-24.m.1.12, 44.24.0-4.b.1.1, $\ldots$	$[(-116, 19656)]$
82368.y4	82368w2	82368.y	82368w	$6$	$8$	$ 2^{6} \cdot 3^{2} \cdot 11 \cdot 13 $	$ 2^{18} \cdot 3^{10} \cdot 11^{2} \cdot 13^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.26	2Cs	$3432$	$192$	$1$	$1$	$1$		$3$	$524288$	$1.783548$	$8732907467857/1656369$	$0.94339$	$4.31722$	$[0, 0, 0, -247116, -47274640]$	$y^2=x^3-247116x-47274640$	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.4, 24.48.0-24.m.1.16, 88.48.0.?, $\ldots$	$[]$
82368.be4	82368eq2	82368.be	82368eq	$6$	$8$	$ 2^{6} \cdot 3^{2} \cdot 11 \cdot 13 $	$ 2^{18} \cdot 3^{10} \cdot 11^{2} \cdot 13^{2} $	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.26	2Cs	$3432$	$192$	$1$	$4.808003644$	$1$		$19$	$524288$	$1.783548$	$8732907467857/1656369$	$0.94339$	$4.31722$	$[0, 0, 0, -247116, 47274640]$	$y^2=x^3-247116x+47274640$	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.4, 24.48.0-24.m.1.13, 88.48.0.?, $\ldots$	$[(317, 891), (293, 153)]$
89232.z4	89232bd2	89232.z	89232bd	$6$	$8$	$ 2^{4} \cdot 3 \cdot 11 \cdot 13^{2} $	$ 2^{12} \cdot 3^{4} \cdot 11^{2} \cdot 13^{8} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.14	2Cs	$3432$	$192$	$1$	$1$	$1$		$3$	$1376256$	$2.170143$	$8732907467857/1656369$	$0.94339$	$4.69389$	$[0, -1, 0, -1160072, -480457680]$	$y^2=x^3-x^2-1160072x-480457680$	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 24.48.0-24.m.1.10, 44.24.0-4.b.1.2, $\ldots$	$[]$
117975.m4	117975q2	117975.m	117975q	$6$	$8$	$ 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 $	$ 3^{4} \cdot 5^{6} \cdot 11^{8} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.3	2Cs	$17160$	$192$	$1$	$5.925701615$	$1$		$4$	$1966080$	$2.198189$	$8732907467857/1656369$	$0.94339$	$4.61047$	$[1, 1, 1, -1297788, -569501844]$	$y^2+xy+y=x^3+x^2-1297788x-569501844$	2.6.0.a.1, 4.12.0.b.1, 24.24.0.m.1, 40.24.0-4.b.1.3, 88.24.0.?, $\ldots$	$[(4960, 336707)]$
123981.e4	123981h2	123981.e	123981h	$6$	$8$	$ 3 \cdot 11 \cdot 13 \cdot 17^{2} $	$ 3^{4} \cdot 11^{2} \cdot 13^{2} \cdot 17^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.3	2Cs	$58344$	$192$	$1$	$3.337912021$	$1$		$4$	$589824$	$1.611128$	$8732907467857/1656369$	$0.94339$	$3.99027$	$[1, 1, 1, -123987, 16749576]$	$y^2+xy+y=x^3+x^2-123987x+16749576$	2.6.0.a.1, 4.12.0.b.1, 24.24.0.m.1, 68.24.0-4.b.1.3, 88.24.0.?, $\ldots$	$[(230, 567)]$
139425.f4	139425n2	139425.f	139425n	$6$	$8$	$ 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} $	$ 3^{4} \cdot 5^{6} \cdot 11^{2} \cdot 13^{8} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.3	2Cs	$17160$	$192$	$1$	$1$	$1$		$2$	$2752512$	$2.281715$	$8732907467857/1656369$	$0.94339$	$4.63007$	$[1, 1, 1, -1812613, 938393906]$	$y^2+xy+y=x^3+x^2-1812613x+938393906$	2.6.0.a.1, 4.12.0.b.1, 24.24.0.m.1, 40.24.0-4.b.1.3, 88.24.0.?, $\ldots$	$[]$
154869.l4	154869n2	154869.l	154869n	$6$	$8$	$ 3 \cdot 11 \cdot 13 \cdot 19^{2} $	$ 3^{4} \cdot 11^{2} \cdot 13^{2} \cdot 19^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.3	2Cs	$65208$	$192$	$1$	$1$	$1$		$2$	$884736$	$1.666742$	$8732907467857/1656369$	$0.94339$	$3.97183$	$[1, 1, 0, -154876, -23520605]$	$y^2+xy=x^3+x^2-154876x-23520605$	2.6.0.a.1, 4.12.0.b.1, 24.24.0.m.1, 76.24.0.?, 88.24.0.?, $\ldots$	$[]$
171600.ge4	171600bs2	171600.ge	171600bs	$6$	$8$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 $	$ 2^{12} \cdot 3^{4} \cdot 5^{6} \cdot 11^{2} \cdot 13^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.3	2Cs	$17160$	$192$	$1$	$1$	$1$		$3$	$1048576$	$1.692389$	$8732907467857/1656369$	$0.94339$	$3.96356$	$[0, 1, 0, -171608, -27415212]$	$y^2=x^3+x^2-171608x-27415212$	2.6.0.a.1, 4.12.0.b.1, 20.24.0-4.b.1.1, 24.24.0.m.1, 88.24.0.?, $\ldots$	$[]$
184041.bn4	184041bm2	184041.bn	184041bm	$6$	$8$	$ 3^{2} \cdot 11^{2} \cdot 13^{2} $	$ 3^{10} \cdot 11^{8} \cdot 13^{8} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.12	2Cs	$3432$	$192$	$1$	$8.586522033$	$1$		$2$	$20643840$	$3.225250$	$8732907467857/1656369$	$0.94339$	$5.45800$	$[1, -1, 0, -78957423, 270021366720]$	$y^2+xy=x^3-x^2-78957423x+270021366720$	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.9, 12.24.0-4.b.1.2, 24.48.0-24.m.1.19, $\ldots$	$[(27363/2, 1761081/2)]$
226512.fd4	226512cq2	226512.fd	226512cq	$6$	$8$	$ 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 13 $	$ 2^{12} \cdot 3^{10} \cdot 11^{8} \cdot 13^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.14	2Cs	$3432$	$192$	$1$	$1$	$1$		$3$	$7864320$	$2.635921$	$8732907467857/1656369$	$0.94339$	$4.79256$	$[0, 0, 0, -7475259, -7865318230]$	$y^2=x^3-7475259x-7865318230$	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 24.48.0-24.m.1.12, 88.48.0.?, $\ldots$	$[]$
226941.i4	226941b2	226941.i	226941b	$6$	$8$	$ 3 \cdot 11 \cdot 13 \cdot 23^{2} $	$ 3^{4} \cdot 11^{2} \cdot 13^{2} \cdot 23^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.3	2Cs	$78936$	$192$	$1$	$2.209384010$	$4$	$2$	$8$	$1441792$	$1.762270$	$8732907467857/1656369$	$0.94339$	$3.94172$	$[1, 0, 0, -226952, -41627025]$	$y^2+xy=x^3-226952x-41627025$	2.6.0.a.1, 4.12.0.b.1, 24.24.0.m.1, 88.24.0.?, 92.24.0.?, $\ldots$	$[(-275, 55)]$
231231.cb4	231231cb2	231231.cb	231231cb	$6$	$8$	$ 3 \cdot 7^{2} \cdot 11^{2} \cdot 13 $	$ 3^{4} \cdot 7^{6} \cdot 11^{8} \cdot 13^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.3	2Cs	$24024$	$192$	$1$	$1$	$1$		$2$	$5898240$	$2.366425$	$8732907467857/1656369$	$0.94339$	$4.52272$	$[1, 1, 0, -2543664, 1560169395]$	$y^2+xy=x^3+x^2-2543664x+1560169395$	2.6.0.a.1, 4.12.0.b.1, 24.24.0.m.1, 56.24.0-4.b.1.3, 88.24.0.?, $\ldots$	$[]$
267696.bj4	267696bj2	267696.bj	267696bj	$6$	$8$	$ 2^{4} \cdot 3^{2} \cdot 11 \cdot 13^{2} $	$ 2^{12} \cdot 3^{10} \cdot 11^{2} \cdot 13^{8} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.9	2Cs	$3432$	$192$	$1$	$1$	$1$		$3$	$11010048$	$2.719452$	$8732907467857/1656369$	$0.94339$	$4.80870$	$[0, 0, 0, -10440651, 12982798010]$	$y^2=x^3-10440651x+12982798010$	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 24.48.0-24.m.1.7, 88.48.0.?, $\ldots$	$[]$
273273.bo4	273273bo2	273273.bo	273273bo	$6$	$8$	$ 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} $	$ 3^{4} \cdot 7^{6} \cdot 11^{2} \cdot 13^{8} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.3	2Cs	$24024$	$192$	$1$	$9.584730714$	$1$		$2$	$8257536$	$2.449951$	$8732907467857/1656369$	$0.94339$	$4.54244$	$[1, 1, 0, -3552721, -2578505600]$	$y^2+xy=x^3+x^2-3552721x-2578505600$	2.6.0.a.1, 4.12.0.b.1, 24.24.0.m.1, 56.24.0-4.b.1.3, 88.24.0.?, $\ldots$	$[(698164/17, 260676566/17)]$
302016.df4	302016df2	302016.df	302016df	$6$	$8$	$ 2^{6} \cdot 3 \cdot 11^{2} \cdot 13 $	$ 2^{18} \cdot 3^{4} \cdot 11^{8} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.11	2Cs	$3432$	$192$	$1$	$16.59787178$	$1$		$3$	$7864320$	$2.433189$	$8732907467857/1656369$	$0.94339$	$4.49050$	$[0, -1, 0, -3322337, -2329357215]$	$y^2=x^3-x^2-3322337x-2329357215$	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 24.48.0-24.m.1.4, 88.48.0.?, $\ldots$	$[(1394946089/55, 52099345404288/55)]$
302016.hi4	302016hi2	302016.hi	302016hi	$6$	$8$	$ 2^{6} \cdot 3 \cdot 11^{2} \cdot 13 $	$ 2^{18} \cdot 3^{4} \cdot 11^{8} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.17	2Cs	$3432$	$192$	$1$	$6.117279487$	$1$		$5$	$7864320$	$2.433189$	$8732907467857/1656369$	$0.94339$	$4.49050$	$[0, 1, 0, -3322337, 2329357215]$	$y^2=x^3+x^2-3322337x+2329357215$	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 24.48.0-24.m.1.2, 88.48.0.?, $\ldots$	$[(1570, 31395)]$
336336.id4	336336id2	336336.id	336336id	$6$	$8$	$ 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 $	$ 2^{12} \cdot 3^{4} \cdot 7^{6} \cdot 11^{2} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.3	2Cs	$24024$	$192$	$1$	$1.664227836$	$1$		$9$	$3145728$	$1.860624$	$8732907467857/1656369$	$0.94339$	$3.91261$	$[0, 1, 0, -336352, 74958260]$	$y^2=x^3+x^2-336352x+74958260$	2.6.0.a.1, 4.12.0.b.1, 24.24.0.m.1, 28.24.0-4.b.1.1, 88.24.0.?, $\ldots$	$[(506, 5880)]$
353925.dd4	353925dd2	353925.dd	353925dd	$6$	$8$	$ 3^{2} \cdot 5^{2} \cdot 11^{2} \cdot 13 $	$ 3^{10} \cdot 5^{6} \cdot 11^{8} \cdot 13^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.3	2Cs	$17160$	$192$	$1$	$1$	$1$		$2$	$15728640$	$2.747494$	$8732907467857/1656369$	$0.94339$	$4.72995$	$[1, -1, 0, -11680092, 15364869691]$	$y^2+xy=x^3-x^2-11680092x+15364869691$	2.6.0.a.1, 4.12.0.b.1, 24.24.0.m.1, 40.24.0-4.b.1.3, 88.24.0.?, $\ldots$	$[]$
356928.t4	356928t2	356928.t	356928t	$6$	$8$	$ 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} $	$ 2^{18} \cdot 3^{4} \cdot 11^{2} \cdot 13^{8} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.11	2Cs	$3432$	$192$	$1$	$2.616674527$	$1$		$9$	$11010048$	$2.516716$	$8732907467857/1656369$	$0.94339$	$4.51022$	$[0, -1, 0, -4640289, 3848301729]$	$y^2=x^3-x^2-4640289x+3848301729$	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 24.48.0-24.m.1.20, 88.48.0.?, $\ldots$	$[(681, 31680)]$
356928.fa4	356928fa2	356928.fa	356928fa	$6$	$8$	$ 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} $	$ 2^{18} \cdot 3^{4} \cdot 11^{2} \cdot 13^{8} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.17	2Cs	$3432$	$192$	$1$	$1$	$4$	$2$	$3$	$11010048$	$2.516716$	$8732907467857/1656369$	$0.94339$	$4.51022$	$[0, 1, 0, -4640289, -3848301729]$	$y^2=x^3+x^2-4640289x-3848301729$	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 24.48.0-24.m.1.17, 88.48.0.?, $\ldots$	$[]$
360789.m4	360789m2	360789.m	360789m	$6$	$8$	$ 3 \cdot 11 \cdot 13 \cdot 29^{2} $	$ 3^{4} \cdot 11^{2} \cdot 13^{2} \cdot 29^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.3	2Cs	$99528$	$192$	$1$	$4.815939910$	$1$		$4$	$2867200$	$1.878170$	$8732907467857/1656369$	$0.94339$	$3.90760$	$[1, 1, 0, -360806, 83253975]$	$y^2+xy=x^3+x^2-360806x+83253975$	2.6.0.a.1, 4.12.0.b.1, 24.24.0.m.1, 88.24.0.?, 104.24.0.?, $\ldots$	$[(606, 9057)]$
371943.ba4	371943ba2	371943.ba	371943ba	$6$	$8$	$ 3^{2} \cdot 11 \cdot 13 \cdot 17^{2} $	$ 3^{10} \cdot 11^{2} \cdot 13^{2} \cdot 17^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.3	2Cs	$58344$	$192$	$1$	$6.766190977$	$1$		$4$	$4718592$	$2.160435$	$8732907467857/1656369$	$0.94339$	$4.16241$	$[1, -1, 0, -1115883, -453354440]$	$y^2+xy=x^3-x^2-1115883x-453354440$	2.6.0.a.1, 4.12.0.b.1, 24.24.0.m.1, 88.24.0.?, 104.24.0.?, $\ldots$	$[(2520, 111580)]$
412269.b4	412269b2	412269.b	412269b	$6$	$8$	$ 3 \cdot 11 \cdot 13 \cdot 31^{2} $	$ 3^{4} \cdot 11^{2} \cdot 13^{2} \cdot 31^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.3	2Cs	$106392$	$192$	$1$	$8.749176040$	$1$		$2$	$3932160$	$1.911516$	$8732907467857/1656369$	$0.94339$	$3.89824$	$[1, 1, 1, -412289, -102049594]$	$y^2+xy+y=x^3+x^2-412289x-102049594$	2.6.0.a.1, 4.12.0.b.1, 24.24.0.m.1, 88.24.0.?, 104.24.0.?, $\ldots$	$[(-84086/15, 304232/15)]$
418275.cg4	418275cg2	418275.cg	418275cg	$6$	$8$	$ 3^{2} \cdot 5^{2} \cdot 11 \cdot 13^{2} $	$ 3^{10} \cdot 5^{6} \cdot 11^{2} \cdot 13^{8} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.3	2Cs	$17160$	$192$	$1$	$1$	$1$		$2$	$22020096$	$2.831020$	$8732907467857/1656369$	$0.94339$	$4.74634$	$[1, -1, 0, -16313517, -25352948984]$	$y^2+xy=x^3-x^2-16313517x-25352948984$	2.6.0.a.1, 4.12.0.b.1, 24.24.0.m.1, 40.24.0-4.b.1.8, 88.24.0.?, $\ldots$	$[]$
464607.n4	464607n2	464607.n	464607n	$6$	$8$	$ 3^{2} \cdot 11 \cdot 13 \cdot 19^{2} $	$ 3^{10} \cdot 11^{2} \cdot 13^{2} \cdot 19^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.3	2Cs	$65208$	$192$	$1$	$1$	$1$		$2$	$7077888$	$2.216049$	$8732907467857/1656369$	$0.94339$	$4.14259$	$[1, -1, 1, -1393889, 633662448]$	$y^2+xy+y=x^3-x^2-1393889x+633662448$	2.6.0.a.1, 4.12.0.b.1, 24.24.0.m.1, 88.24.0.?, 104.24.0.?, $\ldots$	$[]$

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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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