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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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
66.b1	66b3	66.b	66b	$4$	$4$	$ 2 \cdot 3 \cdot 11 $	$ 2 \cdot 3 \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.24.0.102	2B	$264$	$48$	$0$	$1$	$4$	$2$	$0$	$16$	$-0.094954$	$4824238966273/66$	$1.02376$	$6.97066$	$[1, 1, 1, -352, -2689]$	$y^2+xy+y=x^3+x^2-352x-2689$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.5, 132.12.0.?, 264.48.0.?	$[]$
102.c1	102b5	102.c	102b	$6$	$8$	$ 2 \cdot 3 \cdot 17 $	$ 2 \cdot 3^{2} \cdot 17^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	16.96.0.136	2B	$272$	$192$	$1$	$1$	$4$	$2$	$0$	$128$	$0.847078$	$2361739090258884097/5202$	$1.06083$	$9.14728$	$[1, 0, 0, -27744, -1781010]$	$y^2+xy=x^3-27744x-1781010$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.r.1.6, 16.96.0-16.l.2.3, 136.96.0.?, $\ldots$	$[]$
114.b1	114c3	114.b	114c	$4$	$4$	$ 2 \cdot 3 \cdot 19 $	$ 2^{5} \cdot 3^{3} \cdot 19 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.24.0.102	2B	$456$	$48$	$0$	$1$	$4$	$2$	$0$	$240$	$1.101439$	$74220219816682217473/16416$	$1.10905$	$9.66040$	$[1, 1, 1, -87552, -10007679]$	$y^2+xy+y=x^3+x^2-87552x-10007679$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.5, 228.12.0.?, 456.48.0.?	$[]$
120.b1	120a5	120.b	120a	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5 $	$ 2^{11} \cdot 3 \cdot 5^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.45	2B	$240$	$192$	$1$	$1$	$4$	$2$	$1$	$64$	$0.479999$	$1770025017602/75$	$1.12837$	$7.48338$	$[0, 1, 0, -3200, -70752]$	$y^2=x^3+x^2-3200x-70752$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 16.48.0-16.f.1.3, 24.48.0-24.bj.1.7, $\ldots$	$[]$
130.b1	130b3	130.b	130b	$4$	$4$	$ 2 \cdot 5 \cdot 13 $	$ 2^{2} \cdot 5 \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	16.48.0.55	2B	$1040$	$192$	$3$	$1$	$4$	$2$	$0$	$32$	$0.195787$	$294889639316481/260$	$1.02336$	$6.84487$	$[1, -1, 1, -1387, -19529]$	$y^2+xy+y=x^3-x^2-1387x-19529$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.3, 16.48.0-16.i.1.3, 130.6.0.?, $\ldots$	$[]$
195.a1	195a7	195.a	195a	$8$	$16$	$ 3 \cdot 5 \cdot 13 $	$ 3 \cdot 5^{4} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	16.48.0.44	2B	$6240$	$768$	$13$	$1$	$4$	$2$	$0$	$384$	$1.189417$	$242970740812818720001/24375$	$1.04119$	$8.90185$	$[1, 0, 0, -130000, -18051943]$	$y^2+xy=x^3-130000x-18051943$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 16.48.0-16.g.1.6, 24.48.0-24.by.1.11, $\ldots$	$[]$
210.c1	210c5	210.c	210c	$6$	$8$	$ 2 \cdot 3 \cdot 5 \cdot 7 $	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	16.48.0.43	2B	$1680$	$192$	$1$	$1$	$4$	$2$	$0$	$256$	$0.736757$	$524388516989299201/3150$	$1.03693$	$7.63048$	$[1, 1, 1, -16800, -845133]$	$y^2+xy+y=x^3+x^2-16800x-845133$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 16.48.0-16.e.1.6, 56.48.0-56.bh.1.7, $\ldots$	$[]$
210.e2	210e5	210.e	210e	$8$	$16$	$ 2 \cdot 3 \cdot 5 \cdot 7 $	$ 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 7^{8} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.96.0.60	2Cs	$1680$	$768$	$13$	$1$	$4$	$2$	$2$	$1024$	$1.447855$	$191342053882402567201/129708022500$	$1.05504$	$8.73380$	$[1, 0, 0, -120050, -16020000]$	$y^2+xy=x^3-120050x-16020000$	2.6.0.a.1, 4.24.0-4.b.1.1, 8.96.0-8.l.1.1, 24.192.1-24.ch.1.1, 80.192.2.?, $\ldots$	$[]$
240.d4	240d3	240.d	240d	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5 $	$ 2^{12} \cdot 3 \cdot 5 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	32.96.0.13	2B	$480$	$768$	$13$	$1$	$4$	$2$	$1$	$64$	$0.290870$	$56667352321/15$	$1.03019$	$6.03547$	$[0, 1, 0, -1280, -18060]$	$y^2=x^3+x^2-1280x-18060$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 16.48.0-16.g.1.6, 24.48.0-24.by.2.11, $\ldots$	$[]$
258.d1	258d3	258.d	258d	$4$	$4$	$ 2 \cdot 3 \cdot 43 $	$ 2^{3} \cdot 3 \cdot 43 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.24.0.102	2B	$1032$	$48$	$0$	$1$	$4$	$2$	$0$	$240$	$0.493077$	$18440127492397057/1032$	$1.01875$	$6.74475$	$[1, 1, 1, -5504, -159463]$	$y^2+xy+y=x^3+x^2-5504x-159463$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.5, 516.12.0.?, 1032.48.0.?	$[]$
294.g1	294c3	294.g	294c	$6$	$8$	$ 2 \cdot 3 \cdot 7^{2} $	$ 2^{2} \cdot 3^{2} \cdot 7^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.96.0.167	2B	$112$	$192$	$1$	$1$	$4$	$2$	$0$	$768$	$1.162056$	$268498407453697/252$	$1.05727$	$7.89983$	$[1, 0, 0, -65857, -6510547]$	$y^2+xy=x^3-65857x-6510547$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.2.6, 16.96.0-16.z.2.5, 28.24.0-28.h.1.1, $\ldots$	$[]$
312.f1	312c3	312.f	312c	$4$	$4$	$ 2^{3} \cdot 3 \cdot 13 $	$ 2^{10} \cdot 3 \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.6	2B	$312$	$48$	$0$	$1$	$4$	$2$	$1$	$64$	$0.203125$	$62275269892/39$	$1.05219$	$5.53479$	$[0, 1, 0, -832, -9520]$	$y^2=x^3+x^2-832x-9520$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.z.1.4, $\ldots$	$[]$
330.c1	330d3	330.c	330d	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 11 $	$ 2^{7} \cdot 3^{5} \cdot 5^{16} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.24.0.102	2B	$264$	$48$	$0$	$1$	$4$	$2$	$0$	$8960$	$2.256065$	$680995599504466943307169/52207031250000000$	$1.06496$	$9.46318$	$[1, 1, 1, -1832906, -955821481]$	$y^2+xy+y=x^3+x^2-1832906x-955821481$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.5, 132.12.0.?, 264.48.0.?	$[]$
330.d4	330c6	330.d	330c	$6$	$8$	$ 2 \cdot 3 \cdot 5 \cdot 11 $	$ - 2^{2} \cdot 3^{24} \cdot 5^{2} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.24.0.55	2B	$2640$	$192$	$1$	$1$	$4$	$2$	$0$	$1536$	$1.461760$	$-15595206456730321/310672490129100$	$1.05689$	$7.04474$	$[1, 1, 1, -5205, -862425]$	$y^2+xy+y=x^3+x^2-5205x-862425$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 22.6.0.a.1, 40.48.0-40.cb.1.11, $\ldots$	$[]$
330.e6	330b6	330.e	330b	$6$	$8$	$ 2 \cdot 3 \cdot 5 \cdot 11 $	$ - 2 \cdot 3 \cdot 5^{2} \cdot 11^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.24.0.55	2B	$2640$	$192$	$1$	$1$	$4$	$2$	$0$	$256$	$0.700089$	$13411719834479/32153832150$	$1.00277$	$5.40986$	$[1, 0, 0, 495, -7473]$	$y^2+xy=x^3+495x-7473$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 24.48.0-24.bn.1.7, 40.48.0-40.cb.2.3, $\ldots$	$[]$
336.d1	336d3	336.d	336d	$6$	$8$	$ 2^{4} \cdot 3 \cdot 7 $	$ 2^{14} \cdot 3^{2} \cdot 7 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.96.0.147	2B	$112$	$192$	$1$	$1$	$4$	$2$	$1$	$384$	$0.882248$	$268498407453697/252$	$1.05727$	$7.14128$	$[0, 1, 0, -21504, -1220940]$	$y^2=x^3+x^2-21504x-1220940$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.2.3, 16.96.0-16.z.2.4, 28.24.0-28.h.1.1, $\ldots$	$[]$
390.f1	390b5	390.f	390b	$6$	$8$	$ 2 \cdot 3 \cdot 5 \cdot 13 $	$ 2 \cdot 3^{8} \cdot 5 \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.24.0.55	2B	$3120$	$192$	$1$	$1$	$4$	$2$	$0$	$512$	$0.764073$	$81025909800741361/11088090$	$1.01361$	$6.52574$	$[1, 1, 1, -9015, -333213]$	$y^2+xy+y=x^3+x^2-9015x-333213$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 40.48.0-40.bp.1.7, 48.48.0-48.f.2.7, $\ldots$	$[]$
410.d1	410b3	410.d	410b	$4$	$4$	$ 2 \cdot 5 \cdot 41 $	$ 2^{6} \cdot 5^{2} \cdot 41 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	16.48.0.55	2B	$3280$	$192$	$3$	$1$	$4$	$2$	$0$	$1152$	$1.410744$	$4736215902196909260801/65600$	$1.05195$	$8.29591$	$[1, -1, 1, -349867, -79565509]$	$y^2+xy+y=x^3-x^2-349867x-79565509$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.3, 16.48.0-16.i.1.3, 82.6.0.?, $\ldots$	$[]$
435.a1	435d3	435.a	435d	$4$	$4$	$ 3 \cdot 5 \cdot 29 $	$ 3^{2} \cdot 5 \cdot 29 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.24.0.57	2B	$6960$	$192$	$3$	$1$	$4$	$2$	$0$	$320$	$0.544120$	$37286818682653441/1305$	$1.23338$	$6.28070$	$[1, 0, 0, -6960, -224073]$	$y^2+xy=x^3-6960x-224073$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.3, 48.48.0-48.j.1.16, 290.6.0.?, $\ldots$	$[]$
438.d1	438e2	438.d	438e	$2$	$2$	$ 2 \cdot 3 \cdot 73 $	$ 2^{7} \cdot 3 \cdot 73^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$1752$	$12$	$0$	$1$	$4$	$2$	$0$	$224$	$0.458384$	$952095963508633/2046336$	$0.99041$	$5.67058$	$[1, 0, 1, -2050, -35884]$	$y^2+xy+y=x^3-2050x-35884$	2.3.0.a.1, 24.6.0.a.1, 292.6.0.?, 1752.12.0.?	$[]$
442.c2	442a2	442.c	442a	$2$	$2$	$ 2 \cdot 13 \cdot 17 $	$ - 2 \cdot 13 \cdot 17^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$1768$	$12$	$0$	$1$	$4$	$2$	$0$	$192$	$0.367487$	$5295319407/627576794$	$1.34833$	$4.54864$	$[1, -1, 1, 36, 1193]$	$y^2+xy+y=x^3-x^2+36x+1193$	2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.?	$[]$
442.d1	442d2	442.d	442d	$2$	$2$	$ 2 \cdot 13 \cdot 17 $	$ 2 \cdot 13 \cdot 17^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$1768$	$12$	$0$	$1$	$4$	$2$	$0$	$96$	$-0.148382$	$297141543217/7514$	$0.90457$	$4.33691$	$[1, 1, 1, -139, -689]$	$y^2+xy+y=x^3+x^2-139x-689$	2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.?	$[]$
462.g2	462f3	462.g	462f	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 11 $	$ 2 \cdot 3^{2} \cdot 7^{12} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.8	2B	$616$	$48$	$0$	$1$	$4$	$2$	$0$	$768$	$1.076231$	$4770223741048753/2740574865798$	$1.17170$	$5.88392$	$[1, 0, 0, -3507, 6507]$	$y^2+xy=x^3-3507x+6507$	2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.z.1.12, 88.24.0.?, 616.48.0.?	$[]$
480.d1	480b2	480.d	480b	$4$	$4$	$ 2^{5} \cdot 3 \cdot 5 $	$ 2^{9} \cdot 3 \cdot 5 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.6	2B	$120$	$48$	$0$	$1$	$4$	$2$	$1$	$64$	$-0.124197$	$890277128/15$	$0.98337$	$4.34828$	$[0, -1, 0, -160, -728]$	$y^2=x^3-x^2-160x-728$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.1, 24.24.0-24.y.1.14, $\ldots$	$[]$
480.h1	480h2	480.h	480h	$4$	$4$	$ 2^{5} \cdot 3 \cdot 5 $	$ 2^{9} \cdot 3^{2} \cdot 5 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.24.0.57	2B	$240$	$192$	$3$	$1$	$4$	$2$	$1$	$128$	$0.092319$	$23937672968/45$	$1.01090$	$4.88145$	$[0, 1, 0, -480, -4212]$	$y^2=x^3+x^2-480x-4212$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.3, 40.48.0-40.by.1.7, 48.48.0-48.j.1.16, $\ldots$	$[]$
504.c1	504c3	504.c	504c	$4$	$4$	$ 2^{3} \cdot 3^{2} \cdot 7 $	$ 2^{11} \cdot 3^{6} \cdot 7 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$168$	$48$	$0$	$1$	$4$	$2$	$1$	$256$	$0.547274$	$1443468546/7$	$1.04654$	$5.67395$	$[0, 0, 0, -2691, -53730]$	$y^2=x^3-2691x-53730$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 24.24.0-8.p.1.5, 56.24.0.bp.1, $\ldots$	$[]$
504.e1	504g3	504.e	504g	$4$	$4$	$ 2^{3} \cdot 3^{2} \cdot 7 $	$ 2^{10} \cdot 3^{9} \cdot 7 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.8	2B	$168$	$48$	$0$	$1$	$4$	$2$	$1$	$768$	$1.077496$	$7080974546692/189$	$1.03534$	$6.92825$	$[0, 0, 0, -36291, -2661010]$	$y^2=x^3-36291x-2661010$	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.z.1.16, 42.6.0.a.1, 56.24.0-56.ba.1.5, $\ldots$	$[]$
510.e1	510e7	510.e	510e	$8$	$16$	$ 2 \cdot 3 \cdot 5 \cdot 17 $	$ 2 \cdot 3^{16} \cdot 5^{4} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	16.96.0.144	2B	$8160$	$768$	$13$	$1$	$4$	$2$	$0$	$2048$	$1.486740$	$161572377633716256481/914742821250$	$1.03379$	$7.46365$	$[1, 1, 1, -113470, -14759143]$	$y^2+xy+y=x^3+x^2-113470x-14759143$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.1.3, 16.96.0-16.x.1.1, 136.96.0.?, $\ldots$	$[]$
510.e2	510e4	510.e	510e	$8$	$16$	$ 2 \cdot 3 \cdot 5 \cdot 17 $	$ 2^{4} \cdot 3 \cdot 5 \cdot 17 $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.96.0.6	2B	$8160$	$768$	$13$	$1$	$4$	$2$	$2$	$512$	$0.793592$	$1139466686381936641/4080$	$1.01700$	$6.66897$	$[1, 1, 1, -21760, 1226417]$	$y^2+xy+y=x^3+x^2-21760x+1226417$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 16.48.0-16.g.1.2, 32.96.0-32.e.2.3, $\ldots$	$[]$
525.d1	525b5	525.d	525b	$6$	$8$	$ 3 \cdot 5^{2} \cdot 7 $	$ 3 \cdot 5^{6} \cdot 7^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.24.0.13	2B	$1680$	$192$	$1$	$1$	$4$	$2$	$0$	$512$	$0.878924$	$53297461115137/147$	$1.05087$	$6.58804$	$[1, 1, 0, -19600, -1064375]$	$y^2+xy=x^3+x^2-19600x-1064375$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[]$
558.c1	558c3	558.c	558c	$4$	$4$	$ 2 \cdot 3^{2} \cdot 31 $	$ 2 \cdot 3^{6} \cdot 31 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.9	2B	$744$	$48$	$0$	$1$	$4$	$2$	$0$	$256$	$0.441228$	$3999236143617/62$	$1.07559$	$5.63042$	$[1, -1, 0, -2976, -61750]$	$y^2+xy=x^3-x^2-2976x-61750$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 24.24.0-8.p.1.5, 248.24.0.?, $\ldots$	$[]$
570.g1	570g3	570.g	570g	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ 2 \cdot 3 \cdot 5^{8} \cdot 19 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.24.0.102	2B	$456$	$48$	$0$	$1$	$4$	$2$	$0$	$256$	$0.362917$	$26487576322129/44531250$	$0.96284$	$4.87070$	$[1, 1, 1, -621, -6207]$	$y^2+xy+y=x^3+x^2-621x-6207$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.5, 228.12.0.?, 456.48.0.?	$[]$
570.i1	570i4	570.i	570i	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ 2^{2} \cdot 3^{5} \cdot 5 \cdot 19 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.6	2B	$2280$	$48$	$0$	$1$	$4$	$2$	$0$	$3840$	$1.487488$	$13209596798923694545921/92340$	$1.04393$	$8.02681$	$[1, 1, 1, -492480, 132819117]$	$y^2+xy+y=x^3+x^2-492480x+132819117$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 60.12.0-4.c.1.1, 76.12.0.?, $\ldots$	$[]$
570.m1	570m4	570.m	570m	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.6	2B	$2280$	$48$	$0$	$1$	$4$	$2$	$0$	$384$	$0.364515$	$3107086841064961/570$	$0.98891$	$5.62157$	$[1, 0, 0, -3040, 64262]$	$y^2+xy=x^3-3040x+64262$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.y.1.6, 380.12.0.?, $\ldots$	$[]$
571.b1	571a1	571.b	571a	$1$	$1$	$ 571 $	$ -571 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$1142$	$2$	$0$	$1$	$4$	$2$	$0$	$120$	$0.132880$	$-88764284403712/571$	$0.97534$	$5.05988$	$[0, -1, 1, -929, -10595]$	$y^2+y=x^3-x^2-929x-10595$	1142.2.0.?	$[]$
582.c1	582b2	582.c	582b	$2$	$2$	$ 2 \cdot 3 \cdot 97 $	$ 2^{6} \cdot 3^{7} \cdot 97^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$1164$	$12$	$0$	$1$	$4$	$2$	$0$	$4032$	$1.709688$	$46005493530654310542625/1316958912$	$1.04675$	$8.19654$	$[1, 1, 1, -746498, -248562097]$	$y^2+xy+y=x^3+x^2-746498x-248562097$	2.3.0.a.1, 12.6.0.a.1, 388.6.0.?, 1164.12.0.?	$[]$
582.d2	582d2	582.d	582d	$4$	$4$	$ 2 \cdot 3 \cdot 97 $	$ 2^{2} \cdot 3^{2} \cdot 97^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.1	2Cs	$2328$	$48$	$0$	$1$	$4$	$2$	$2$	$128$	$0.022440$	$807734827297/338724$	$1.00548$	$4.30655$	$[1, 0, 0, -194, -1056]$	$y^2+xy=x^3-194x-1056$	2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.a.1.4, 388.24.0.?, 2328.48.0.?	$[]$
582.d3	582d4	582.d	582d	$4$	$4$	$ 2 \cdot 3 \cdot 97 $	$ - 2 \cdot 3 \cdot 97^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.8	2B	$2328$	$48$	$0$	$1$	$4$	$2$	$0$	$256$	$0.369014$	$-488001047617/531175686$	$0.95390$	$4.39359$	$[1, 0, 0, -164, -1386]$	$y^2+xy=x^3-164x-1386$	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.v.1.1, 776.24.0.?, 2328.48.0.?	$[]$
600.h1	600d5	600.h	600d	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5^{2} $	$ 2^{11} \cdot 3^{2} \cdot 5^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.210	2B	$240$	$192$	$1$	$1$	$4$	$2$	$1$	$512$	$0.852514$	$3065617154/9$	$1.21059$	$6.11618$	$[0, 1, 0, -9608, -365712]$	$y^2=x^3+x^2-9608x-365712$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 16.48.0.l.1, 20.12.0-4.c.1.1, $\ldots$	$[]$
630.i1	630j3	630.i	630j	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 $	$ 2 \cdot 3^{10} \cdot 5 \cdot 7 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.6	2B	$840$	$48$	$0$	$1$	$4$	$2$	$0$	$512$	$0.562889$	$5763259856089/5670$	$0.98492$	$5.58110$	$[1, -1, 1, -3362, -74181]$	$y^2+xy+y=x^3-x^2-3362x-74181$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.bb.1.14, 280.24.0.?, $\ldots$	$[]$
646.b1	646e4	646.b	646e	$4$	$6$	$ 2 \cdot 17 \cdot 19 $	$ 2 \cdot 17^{2} \cdot 19^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$7752$	$96$	$1$	$1$	$4$	$2$	$0$	$1152$	$1.148006$	$43311038625059640625/3964502$	$1.03611$	$6.98754$	$[1, 0, 0, -73163, -7623125]$	$y^2+xy=x^3-73163x-7623125$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 68.6.0.c.1, 152.6.0.?, $\ldots$	$[]$
646.b3	646e2	646.b	646e	$4$	$6$	$ 2 \cdot 17 \cdot 19 $	$ 2^{3} \cdot 17^{6} \cdot 19 $	$0$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$7752$	$96$	$1$	$1$	$4$	$2$	$4$	$384$	$0.598701$	$84171637140625/3668910488$	$1.06021$	$4.95516$	$[1, 0, 0, -913, -10287]$	$y^2+xy=x^3-913x-10287$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 68.6.0.c.1, 152.6.0.?, $\ldots$	$[]$
646.e2	646b2	646.e	646b	$2$	$2$	$ 2 \cdot 17 \cdot 19 $	$ - 2^{2} \cdot 17^{6} \cdot 19 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$1292$	$12$	$0$	$1$	$4$	$2$	$0$	$384$	$0.466813$	$3075827761007/1834455244$	$1.02151$	$4.44375$	$[1, 1, 1, 303, -229]$	$y^2+xy+y=x^3+x^2+303x-229$	2.3.0.a.1, 38.6.0.b.1, 68.6.0.c.1, 1292.12.0.?	$[]$
690.k1	690k4	690.k	690k	$6$	$8$	$ 2 \cdot 3 \cdot 5 \cdot 23 $	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	16.48.0.27	2B	$1104$	$192$	$1$	$1$	$4$	$2$	$2$	$1536$	$1.153017$	$148809678420065817601/20700$	$1.02663$	$7.10592$	$[1, 0, 0, -110400, 14109732]$	$y^2+xy=x^3-110400x+14109732$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 16.48.0-16.e.1.2, 24.48.0-24.by.1.3, $\ldots$	$[]$
690.k2	690k5	690.k	690k	$6$	$8$	$ 2 \cdot 3 \cdot 5 \cdot 23 $	$ 2 \cdot 3 \cdot 5^{4} \cdot 23^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.48.0.177	2B	$1104$	$192$	$1$	$1$	$4$	$2$	$0$	$3072$	$1.499590$	$1905890658841300321/293666194803750$	$1.01528$	$6.43926$	$[1, 0, 0, -25830, -1370850]$	$y^2+xy=x^3-25830x-1370850$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.2.3, 24.96.0-24.bl.2.7, 368.96.0.?, $\ldots$	$[]$
714.f3	714g6	714.f	714g	$6$	$8$	$ 2 \cdot 3 \cdot 7 \cdot 17 $	$ - 2^{3} \cdot 3^{32} \cdot 7^{2} \cdot 17^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	16.96.0.137	2B	$272$	$192$	$1$	$1$	$4$	$2$	$0$	$30720$	$2.579128$	$-2770540998624539614657/209924951154647363208$	$1.08173$	$8.25697$	$[1, 1, 1, -292604, -699871003]$	$y^2+xy+y=x^3+x^2-292604x-699871003$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.k.1.6, 16.96.0-16.e.1.6, 136.96.0.?, $\ldots$	$[]$
777.f4	777a4	777.f	777a	$4$	$4$	$ 3 \cdot 7 \cdot 37 $	$ - 3 \cdot 7 \cdot 37^{4} $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.7	2B	$6216$	$48$	$0$	$1$	$4$	$2$	$2$	$192$	$0.146532$	$64336588343/39357381$	$0.93572$	$3.73941$	$[1, 1, 0, 84, 105]$	$y^2+xy=x^3+x^2+84x+105$	2.3.0.a.1, 4.12.0-4.c.1.1, 84.24.0.?, 296.24.0.?, 6216.48.0.?	$[]$
792.f1	792e3	792.f	792e	$4$	$4$	$ 2^{3} \cdot 3^{2} \cdot 11 $	$ 2^{10} \cdot 3^{7} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.12.0.8	2B	$264$	$48$	$0$	$1$	$4$	$2$	$1$	$768$	$0.718627$	$37736227588/33$	$0.98449$	$5.67483$	$[0, 0, 0, -6339, -194258]$	$y^2=x^3-6339x-194258$	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.16, 66.6.0.a.1, 88.24.0.?, $\ldots$	$[]$
798.i1	798i3	798.i	798i	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 19 $	$ 2^{2} \cdot 3 \cdot 7^{4} \cdot 19 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.8	2B	$3192$	$48$	$0$	$1$	$4$	$2$	$0$	$256$	$0.334260$	$199350693197713/547428$	$1.03794$	$4.92750$	$[1, 0, 0, -1217, -16443]$	$y^2+xy=x^3-1217x-16443$	2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.ba.1.12, 114.6.0.?, 228.24.0.?, $\ldots$	$[]$
840.e1	840c3	840.e	840c	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5 \cdot 7 $	$ 2^{10} \cdot 3 \cdot 5 \cdot 7 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.12.0.6	2B	$840$	$48$	$0$	$1$	$4$	$2$	$1$	$256$	$0.405999$	$1214399773444/105$	$0.96565$	$5.16184$	$[0, -1, 0, -2240, -40068]$	$y^2=x^3-x^2-2240x-40068$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.1, 40.24.0-40.ba.1.2, $\ldots$	$[]$

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Elliptic curves over $\Q$
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Genus 2 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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