LMFDB - Elliptic curves over $\Q$ of conductor 6006

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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

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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
6006.a1	6006c2	6006.a	6006c	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{3} \cdot 3^{6} \cdot 7^{6} \cdot 11 \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$24024$	$12$	$0$	$1.116468736$	$1$		$8$	$13824$	$1.018864$	$2919363263895961/1275513751512$	$0.94526$	$4.09288$	$[1, 1, 0, -2977, -32195]$	$y^2+xy=x^3+x^2-2977x-32195$	2.3.0.a.1, 88.6.0.?, 1092.6.0.?, 24024.12.0.?	$[(-29, 190)]$
6006.a2	6006c1	6006.a	6006c	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{6} \cdot 3^{3} \cdot 7^{3} \cdot 11^{2} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$24024$	$12$	$0$	$2.232937472$	$1$		$7$	$6912$	$0.672291$	$1806976738085401/932323392$	$1.09371$	$4.03774$	$[1, 1, 0, -2537, -50235]$	$y^2+xy=x^3+x^2-2537x-50235$	2.3.0.a.1, 88.6.0.?, 546.6.0.?, 24024.12.0.?	$[(58, 15)]$
6006.b1	6006e2	6006.b	6006e	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2 \cdot 3^{3} \cdot 7 \cdot 11^{2} \cdot 13^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$24024$	$12$	$0$	$0.641189073$	$1$		$6$	$16128$	$0.866236$	$382672988497801/220768590042$	$0.99363$	$3.85934$	$[1, 1, 0, -1512, -1890]$	$y^2+xy=x^3+x^2-1512x-1890$	2.3.0.a.1, 168.6.0.?, 572.6.0.?, 24024.12.0.?	$[(41, 64)]$
6006.b2	6006e1	6006.b	6006e	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ - 2^{2} \cdot 3^{6} \cdot 7^{2} \cdot 11 \cdot 13^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$24024$	$12$	$0$	$0.320594536$	$1$		$11$	$8064$	$0.519662$	$5948434379159/3453077628$	$0.97006$	$3.38074$	$[1, 1, 0, 378, 0]$	$y^2+xy=x^3+x^2+378x$	2.3.0.a.1, 168.6.0.?, 286.6.0.?, 24024.12.0.?	$[(14, 84)]$
6006.c1	6006i3	6006.c	6006i	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{5} \cdot 3^{8} \cdot 7^{4} \cdot 11^{3} \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.8	2B	$8008$	$48$	$0$	$0.466311320$	$1$		$8$	$61440$	$1.934347$	$1550549616695674282297/19163006232001632$	$0.98870$	$5.60805$	$[1, 1, 0, -241131, 44985501]$	$y^2+xy=x^3+x^2-241131x+44985501$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 44.12.0-4.c.1.1, 88.24.0.?, $\ldots$	$[(11, 6501)]$
6006.c2	6006i2	6006.c	6006i	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{10} \cdot 3^{4} \cdot 7^{2} \cdot 11^{6} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.1	2Cs	$8008$	$48$	$0$	$0.932622641$	$1$		$12$	$30720$	$1.587774$	$2472604133104833337/1216813084591104$	$1.02214$	$4.86774$	$[1, 1, 0, -28171, -715715]$	$y^2+xy=x^3+x^2-28171x-715715$	2.6.0.a.1, 8.12.0-2.a.1.1, 44.12.0-2.a.1.1, 88.24.0.?, 364.12.0.?, $\ldots$	$[(-33, 440)]$
6006.c3	6006i1	6006.c	6006i	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{20} \cdot 3^{2} \cdot 7 \cdot 11^{3} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.12	2B	$8008$	$48$	$0$	$1.865245283$	$1$		$5$	$15360$	$1.241199$	$1354635530322645817/1143041163264$	$0.99685$	$4.79857$	$[1, 1, 0, -23051, -1355715]$	$y^2+xy=x^3+x^2-23051x-1355715$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 44.12.0-4.c.1.2, 88.24.0.?, $\ldots$	$[(-89, 72)]$
6006.c4	6006i4	6006.c	6006i	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ - 2^{5} \cdot 3^{2} \cdot 7 \cdot 11^{12} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.7	2B	$8008$	$48$	$0$	$1.865245283$	$1$		$4$	$61440$	$1.934347$	$120384526693766101703/82251930897103968$	$1.00059$	$5.31431$	$[1, 1, 0, 102869, -5354531]$	$y^2+xy=x^3+x^2+102869x-5354531$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 88.24.0.?, 364.12.0.?, $\ldots$	$[(81, 1835)]$
6006.d1	6006h4	6006.d	6006h	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{7} \cdot 3^{12} \cdot 7^{4} \cdot 11 \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.8	2B	$1848$	$48$	$0$	$1.202514465$	$1$		$6$	$86016$	$2.053959$	$226439278116330906299737/303624334645632$	$1.00490$	$6.18087$	$[1, 1, 0, -1269821, 550229949]$	$y^2+xy=x^3+x^2-1269821x+550229949$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 44.12.0-4.c.1.1, 88.24.0.?, $\ldots$	$[(649, -370)]$
6006.d2	6006h3	6006.d	6006h	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{7} \cdot 3^{3} \cdot 7 \cdot 11^{4} \cdot 13^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.7	2B	$1848$	$48$	$0$	$4.810057862$	$1$		$2$	$86016$	$2.053959$	$898362003697422318937/288927801457206912$	$0.99477$	$5.54532$	$[1, 1, 0, -201021, -23205699]$	$y^2+xy=x^3+x^2-201021x-23205699$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 84.12.0.?, 88.24.0.?, $\ldots$	$[(1109, 32902)]$
6006.d3	6006h2	6006.d	6006h	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{14} \cdot 3^{6} \cdot 7^{2} \cdot 11^{2} \cdot 13^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.1	2Cs	$1848$	$48$	$0$	$2.405028931$	$1$		$8$	$43008$	$1.707384$	$56753835752958457177/2022564252893184$	$0.97664$	$5.22788$	$[1, 1, 0, -80061, 8413245]$	$y^2+xy=x^3+x^2-80061x+8413245$	2.6.0.a.1, 8.12.0-2.a.1.1, 44.12.0-2.a.1.1, 84.12.0.?, 88.24.0.?, $\ldots$	$[(213, 933)]$
6006.d4	6006h1	6006.d	6006h	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ - 2^{28} \cdot 3^{3} \cdot 7 \cdot 11 \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.12	2B	$1848$	$48$	$0$	$4.810057862$	$1$		$3$	$21504$	$1.360809$	$709899390552743/94315065901056$	$0.99296$	$4.55468$	$[1, 1, 0, 1859, 467005]$	$y^2+xy=x^3+x^2+1859x+467005$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 44.12.0-4.c.1.2, 84.12.0.?, $\ldots$	$[(-21, 658)]$
6006.e1	6006a2	6006.e	6006a	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{2} \cdot 3 \cdot 7^{4} \cdot 11^{2} \cdot 13^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$1716$	$12$	$0$	$2.366096140$	$1$		$2$	$30720$	$1.617733$	$397341764192357727625/16827472529868$	$0.98351$	$5.45155$	$[1, 1, 0, -153160, -23134076]$	$y^2+xy=x^3+x^2-153160x-23134076$	2.3.0.a.1, 12.6.0.a.1, 572.6.0.?, 1716.12.0.?	$[(4718, 320600)]$
6006.e2	6006a1	6006.e	6006a	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ - 2^{4} \cdot 3^{2} \cdot 7^{8} \cdot 11 \cdot 13^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$1716$	$12$	$0$	$4.732192280$	$1$		$3$	$15360$	$1.271158$	$-83353234419015625/20061784190448$	$0.98934$	$4.51808$	$[1, 1, 0, -9100, -401408]$	$y^2+xy=x^3+x^2-9100x-401408$	2.3.0.a.1, 12.6.0.b.1, 286.6.0.?, 1716.12.0.?	$[(139, 952)]$
6006.f1	6006b2	6006.f	6006b	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{19} \cdot 3^{22} \cdot 7^{2} \cdot 11 \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$24024$	$12$	$0$	$7.918050634$	$1$		$2$	$535040$	$3.021046$	$3324730517043538694039691625/1498694078086994460672$	$1.03027$	$7.28361$	$[1, 1, 0, -31094070, 66697709652]$	$y^2+xy=x^3+x^2-31094070x+66697709652$	2.3.0.a.1, 88.6.0.?, 1092.6.0.?, 24024.12.0.?	$[(-3241, 366919)]$
6006.f2	6006b1	6006.f	6006b	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{38} \cdot 3^{11} \cdot 7 \cdot 11^{2} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$24024$	$12$	$0$	$15.83610126$	$1$		$1$	$267520$	$2.674473$	$1273586744879073781899625/536167394157891944448$	$1.02210$	$6.37938$	$[1, 1, 0, -2258230, 680937556]$	$y^2+xy=x^3+x^2-2258230x+680937556$	2.3.0.a.1, 88.6.0.?, 546.6.0.?, 24024.12.0.?	$[(-3160035/61, 10214590876/61)]$
6006.g1	6006d3	6006.g	6006d	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2 \cdot 3^{4} \cdot 7^{2} \cdot 11 \cdot 13^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.8	2B	$264$	$48$	$0$	$1$	$1$		$0$	$20480$	$1.352325$	$151433926001115913/71227975096278$	$0.96890$	$4.54673$	$[1, 1, 0, -11104, 190258]$	$y^2+xy=x^3+x^2-11104x+190258$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.16, 44.12.0-4.c.1.1, $\ldots$	$[]$
6006.g2	6006d2	6006.g	6006d	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{2} \cdot 3^{2} \cdot 7^{4} \cdot 11^{2} \cdot 13^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.1	2Cs	$264$	$48$	$0$	$1$	$1$		$2$	$10240$	$1.005753$	$20637789249996073/298712530116$	$0.97870$	$4.31766$	$[1, 1, 0, -5714, -166560]$	$y^2+xy=x^3+x^2-5714x-166560$	2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.a.1.3, 44.12.0-2.a.1.1, $\ldots$	$[]$
6006.g3	6006d1	6006.g	6006d	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.12	2B	$264$	$48$	$0$	$1$	$1$		$1$	$5120$	$0.659179$	$20421858870283753/4372368$	$0.93896$	$4.31646$	$[1, 1, 0, -5694, -167772]$	$y^2+xy=x^3+x^2-5694x-167772$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.2, $\ldots$	$[]$
6006.g4	6006d4	6006.g	6006d	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ - 2 \cdot 3 \cdot 7^{8} \cdot 11^{4} \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.7	2B	$264$	$48$	$0$	$1$	$1$		$0$	$20480$	$1.352325$	$-29609739866953/85584085761174$	$1.06282$	$4.54403$	$[1, 1, 0, -644, -445410]$	$y^2+xy=x^3+x^2-644x-445410$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.1, 24.24.0-24.v.1.4, $\ldots$	$[]$
6006.h1	6006g3	6006.h	6006g	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{3} \cdot 3^{5} \cdot 7 \cdot 11^{8} \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.7	2B	$2184$	$48$	$0$	$2.855058208$	$1$		$2$	$61440$	$1.945282$	$211493228575739333833/83312312835279528$	$0.99301$	$5.37908$	$[1, 1, 0, -124124, -9562872]$	$y^2+xy=x^3+x^2-124124x-9562872$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 84.12.0.?, 104.24.0.?, $\ldots$	$[(451, 4917)]$
6006.h2	6006g2	6006.h	6006g	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{6} \cdot 3^{10} \cdot 7^{2} \cdot 11^{4} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.1	2Cs	$2184$	$48$	$0$	$1.427529104$	$1$		$8$	$30720$	$1.598709$	$19509797127983109193/458190464187456$	$1.03631$	$5.10515$	$[1, 1, 0, -56084, 4984080]$	$y^2+xy=x^3+x^2-56084x+4984080$	2.6.0.a.1, 8.12.0-2.a.1.1, 52.12.0-2.a.1.1, 84.12.0.?, 104.24.0.?, $\ldots$	$[(-23, 2514)]$
6006.h3	6006g1	6006.h	6006g	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{12} \cdot 3^{5} \cdot 7 \cdot 11^{2} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.12	2B	$2184$	$48$	$0$	$2.855058208$	$1$		$3$	$15360$	$1.252134$	$19177749277229260873/10959556608$	$0.97154$	$5.10318$	$[1, 1, 0, -55764, 5045328]$	$y^2+xy=x^3+x^2-55764x+5045328$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 52.12.0-4.c.1.2, 84.12.0.?, $\ldots$	$[(161, 442)]$
6006.h4	6006g4	6006.h	6006g	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ - 2^{3} \cdot 3^{20} \cdot 7^{4} \cdot 11^{2} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.8	2B	$2184$	$48$	$0$	$2.855058208$	$1$		$2$	$61440$	$1.945282$	$35320805896348727/105350345460143784$	$1.11355$	$5.36182$	$[1, 1, 0, 6836, 15617560]$	$y^2+xy=x^3+x^2+6836x+15617560$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 52.12.0-4.c.1.1, 104.24.0.?, $\ldots$	$[(65, 4010)]$
6006.i1	6006f2	6006.i	6006f	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{4} \cdot 3 \cdot 7^{2} \cdot 11^{6} \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$1716$	$12$	$0$	$1$	$1$		$0$	$24576$	$1.135582$	$200005594092187129/704174238768$	$0.95088$	$4.57871$	$[1, 1, 0, -12183, -521115]$	$y^2+xy=x^3+x^2-12183x-521115$	2.3.0.a.1, 12.6.0.a.1, 572.6.0.?, 1716.12.0.?	$[]$
6006.i2	6006f1	6006.i	6006f	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ - 2^{8} \cdot 3^{2} \cdot 7^{4} \cdot 11^{3} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$1716$	$12$	$0$	$1$	$1$		$1$	$12288$	$0.789008$	$-8401330071289/95718534912$	$0.93643$	$3.76862$	$[1, 1, 0, -423, -15435]$	$y^2+xy=x^3+x^2-423x-15435$	2.3.0.a.1, 12.6.0.b.1, 286.6.0.?, 1716.12.0.?	$[]$
6006.j1	6006j2	6006.j	6006j	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2 \cdot 3^{2} \cdot 7^{8} \cdot 11^{3} \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$3432$	$12$	$0$	$1$	$1$		$0$	$21504$	$1.297218$	$203124303447538537/23341114298502$	$0.95340$	$4.58049$	$[1, 0, 1, -12247, -468004]$	$y^2+xy+y=x^3-12247x-468004$	2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.?	$[]$
6006.j2	6006j1	6006.j	6006j	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ - 2^{2} \cdot 3 \cdot 7^{4} \cdot 11^{6} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$3432$	$12$	$0$	$1$	$1$		$1$	$10752$	$0.950644$	$133018079080823/663548801916$	$0.94183$	$3.97129$	$[1, 0, 1, 1063, -36760]$	$y^2+xy+y=x^3+1063x-36760$	2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.?	$[]$
6006.k1	6006l4	6006.k	6006l	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{2} \cdot 3 \cdot 7 \cdot 11^{3} \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$24024$	$48$	$0$	$1.253581604$	$1$		$4$	$36864$	$1.679178$	$23447665694255643433657/3193234044$	$1.02987$	$5.92023$	$[1, 0, 1, -596292, 177179830]$	$y^2+xy+y=x^3-596292x+177179830$	2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.1, 84.12.0.?, 104.12.0.?, $\ldots$	$[(448, -142)]$
6006.k2	6006l3	6006.k	6006l	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{2} \cdot 3 \cdot 7 \cdot 11^{12} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$24024$	$48$	$0$	$1.253581604$	$1$		$2$	$36864$	$1.679178$	$8629164767308099897/3427163787379332$	$0.98079$	$5.01139$	$[1, 0, 1, -42732, 1900726]$	$y^2+xy+y=x^3-42732x+1900726$	2.3.0.a.1, 4.6.0.c.1, 52.12.0-4.c.1.1, 84.12.0.?, 88.12.0.?, $\ldots$	$[(46, 158)]$
6006.k3	6006l2	6006.k	6006l	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 11^{6} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.6.0.1	2Cs	$12012$	$48$	$0$	$0.626790802$	$1$		$12$	$18432$	$1.332603$	$5726048926423698937/2112522716304$	$1.00250$	$4.96425$	$[1, 0, 1, -37272, 2765590]$	$y^2+xy+y=x^3-37272x+2765590$	2.6.0.a.1, 44.12.0-2.a.1.1, 52.12.0-2.a.1.1, 84.12.0.?, 572.24.0.?, $\ldots$	$[(74, 606)]$
6006.k4	6006l1	6006.k	6006l	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ - 2^{8} \cdot 3^{4} \cdot 7^{4} \cdot 11^{3} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$24024$	$48$	$0$	$0.313395401$	$1$		$9$	$9216$	$0.986031$	$-873530903492857/861466814208$	$0.93479$	$4.06853$	$[1, 0, 1, -1992, 56086]$	$y^2+xy+y=x^3-1992x+56086$	2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.2, 52.12.0-4.c.1.2, 168.12.0.?, $\ldots$	$[(-7, 267)]$
6006.l1	6006m3	6006.l	6006m	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{8} \cdot 3^{4} \cdot 7^{3} \cdot 11^{8} \cdot 13 $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.7	2B	$2184$	$48$	$0$	$1$	$1$		$2$	$245760$	$2.433243$	$24988464356366680777409257/19820013127858944$	$1.01822$	$6.72149$	$[1, 0, 1, -6090767, 5785190210]$	$y^2+xy+y=x^3-6090767x+5785190210$	2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.z.1.8, 364.24.0.?, 2184.48.0.?	$[]$
6006.l2	6006m2	6006.l	6006m	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{16} \cdot 3^{2} \cdot 7^{6} \cdot 11^{4} \cdot 13^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.1	2Cs	$1092$	$48$	$0$	$1$	$1$		$2$	$122880$	$2.086670$	$6225272619854317474537/171699142176866304$	$0.99382$	$5.76781$	$[1, 0, 1, -383247, 89085250]$	$y^2+xy+y=x^3-383247x+89085250$	2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.2, 364.24.0.?, 1092.48.0.?	$[]$
6006.l3	6006m1	6006.l	6006m	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{32} \cdot 3 \cdot 7^{3} \cdot 11^{2} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.6	2B	$2184$	$48$	$0$	$1$	$4$	$2$	$1$	$61440$	$1.740097$	$18974193623767438057/6951907079749632$	$0.98228$	$5.10195$	$[1, 0, 1, -55567, -3058366]$	$y^2+xy+y=x^3-55567x-3058366$	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, $\ldots$	$[]$
6006.l4	6006m4	6006.l	6006m	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ - 2^{8} \cdot 3 \cdot 7^{12} \cdot 11^{2} \cdot 13^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.8	2B	$2184$	$48$	$0$	$1$	$1$		$0$	$245760$	$2.433243$	$59633809076653006103/36736390236271934208$	$1.04736$	$6.03459$	$[1, 0, 1, 81393, 291482434]$	$y^2+xy+y=x^3+81393x+291482434$	2.3.0.a.1, 4.12.0-4.c.1.2, 6.6.0.a.1, 12.24.0-12.g.1.1, 728.24.0.?, $\ldots$	$[]$
6006.m1	6006k2	6006.m	6006k	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{5} \cdot 3^{4} \cdot 7^{2} \cdot 11 \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$616$	$12$	$0$	$0.572598962$	$1$		$8$	$5120$	$0.777662$	$501796540869625/39902230368$	$0.91896$	$3.89048$	$[1, 0, 1, -1656, -24218]$	$y^2+xy+y=x^3-1656x-24218$	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[(-28, 33)]$
6006.m2	6006k1	6006.m	6006k	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ - 2^{10} \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$616$	$12$	$0$	$1.145197925$	$1$		$7$	$2560$	$0.431089$	$126128378375/1319205888$	$0.90564$	$3.26396$	$[1, 0, 1, 104, -1690]$	$y^2+xy+y=x^3+104x-1690$	2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.?	$[(10, 14)]$
6006.n1	6006p4	6006.n	6006p	$4$	$6$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 11^{3} \cdot 13^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$24024$	$96$	$1$	$1$	$1$		$0$	$27648$	$1.479156$	$21300579951997515625/22665575244312$	$1.00741$	$5.11525$	$[1, 0, 1, -57751, -5341630]$	$y^2+xy+y=x^3-57751x-5341630$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 88.6.0.?, 264.48.0.?, $\ldots$	$[]$
6006.n2	6006p3	6006.n	6006p	$4$	$6$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{6} \cdot 3 \cdot 7 \cdot 11^{6} \cdot 13^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$24024$	$96$	$1$	$1$	$1$		$1$	$13824$	$1.132582$	$10148545224987625/5231008630848$	$0.96212$	$4.23608$	$[1, 0, 1, -4511, -38926]$	$y^2+xy+y=x^3-4511x-38926$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 88.6.0.?, 264.48.0.?, $\ldots$	$[]$
6006.n3	6006p2	6006.n	6006p	$4$	$6$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2 \cdot 3^{6} \cdot 7^{6} \cdot 11 \cdot 13^{2} $	$0$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$24024$	$96$	$1$	$1$	$1$		$4$	$9216$	$0.929850$	$2001566936265625/318878437878$	$1.10006$	$4.04950$	$[1, 0, 1, -2626, 43862]$	$y^2+xy+y=x^3-2626x+43862$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 88.6.0.?, 264.48.0.?, $\ldots$	$[]$
6006.n4	6006p1	6006.n	6006p	$4$	$6$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{2} \cdot 3^{3} \cdot 7^{3} \cdot 11^{2} \cdot 13 $	$0$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$24024$	$96$	$1$	$1$	$1$		$5$	$4608$	$0.583276$	$1760384222493625/58270212$	$0.92492$	$4.03474$	$[1, 0, 1, -2516, 48350]$	$y^2+xy+y=x^3-2516x+48350$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 88.6.0.?, 264.48.0.?, $\ldots$	$[]$
6006.o1	6006o4	6006.o	6006o	$4$	$6$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{15} \cdot 3^{6} \cdot 7^{18} \cdot 11^{3} \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$24024$	$96$	$1$	$1$	$1$		$0$	$4976640$	$4.052681$	$16250708692977087048493451847625/8749977648266474863605153792$	$1.06854$	$8.25994$	$[1, 0, 1, -527694861, -1230791696120]$	$y^2+xy+y=x^3-527694861x-1230791696120$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 88.6.0.?, 264.48.0.?, $\ldots$	$[]$
6006.o2	6006o3	6006.o	6006o	$4$	$6$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{30} \cdot 3^{3} \cdot 7^{9} \cdot 11^{6} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$24024$	$96$	$1$	$1$	$1$		$1$	$2488320$	$3.706104$	$3282666836869681281754155591625/26942969374939856448258048$	$1.04487$	$8.07610$	$[1, 0, 1, -309623821, 2082056315144]$	$y^2+xy+y=x^3-309623821x+2082056315144$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 88.6.0.?, 264.48.0.?, $\ldots$	$[]$
6006.o3	6006o2	6006.o	6006o	$4$	$6$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{5} \cdot 3^{18} \cdot 7^{6} \cdot 11 \cdot 13^{6} $	$0$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$24024$	$96$	$1$	$1$	$1$		$4$	$1658880$	$3.503372$	$3263279883032933444452132257625/77441472526453540753248$	$1.04475$	$8.07542$	$[1, 0, 1, -309013086, 2090735846512]$	$y^2+xy+y=x^3-309013086x+2090735846512$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 88.6.0.?, 264.48.0.?, $\ldots$	$[]$
6006.o4	6006o1	6006.o	6006o	$4$	$6$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{10} \cdot 3^{9} \cdot 7^{3} \cdot 11^{2} \cdot 13^{3} $	$0$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$24024$	$96$	$1$	$1$	$1$		$5$	$829440$	$3.156799$	$3263224124812796801735447265625/1837810787484672$	$1.09727$	$8.07542$	$[1, 0, 1, -309011326, 2090760854000]$	$y^2+xy+y=x^3-309011326x+2090760854000$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 88.6.0.?, 264.48.0.?, $\ldots$	$[]$
6006.p1	6006r4	6006.p	6006r	$4$	$6$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{3} \cdot 3 \cdot 7^{3} \cdot 11^{2} \cdot 13^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$24024$	$96$	$1$	$1.229128941$	$1$		$2$	$20736$	$1.383156$	$9040834853442015625/4807849294248$	$1.00424$	$5.01675$	$[1, 0, 1, -43401, -3482108]$	$y^2+xy+y=x^3-43401x-3482108$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 168.48.0.?, 572.6.0.?, $\ldots$	$[(262, 1643)]$
6006.p2	6006r3	6006.p	6006r	$4$	$6$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ - 2^{6} \cdot 3^{2} \cdot 7^{6} \cdot 11 \cdot 13^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$24024$	$96$	$1$	$0.614564470$	$1$		$7$	$10368$	$1.036583$	$-1243857621903625/1637696668608$	$0.93950$	$4.13118$	$[1, 0, 1, -2241, -74060]$	$y^2+xy+y=x^3-2241x-74060$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 168.48.0.?, 286.6.0.?, $\ldots$	$[(115, 1034)]$
6006.p3	6006r2	6006.p	6006r	$4$	$6$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ 2 \cdot 3^{3} \cdot 7 \cdot 11^{6} \cdot 13^{2} $	$1$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$24024$	$96$	$1$	$3.687386825$	$1$		$6$	$6912$	$0.833850$	$501796540869625/113170859802$	$0.92330$	$3.89048$	$[1, 0, 1, -1656, 20116]$	$y^2+xy+y=x^3-1656x+20116$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 168.48.0.?, 572.6.0.?, $\ldots$	$[(34, 41)]$
6006.p4	6006r1	6006.p	6006r	$4$	$6$	$ 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 $	$ - 2^{2} \cdot 3^{6} \cdot 7^{2} \cdot 11^{3} \cdot 13 $	$1$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$24024$	$96$	$1$	$1.843693412$	$1$		$13$	$3456$	$0.487277$	$1425727406375/2472321852$	$0.89853$	$3.29602$	$[1, 0, 1, 234, 1972]$	$y^2+xy+y=x^3+234x+1972$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 168.48.0.?, 286.6.0.?, $\ldots$	$[(7, 59)]$

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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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