LMFDB - Elliptic curves over $\Q$ of conductor 9282

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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

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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
9282.a1	9282a1	9282.a	9282a	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \cdot 17 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$1768$	$12$	$0$	$0.503482289$	$1$		$23$	$3840$	$0.215200$	$198461344537/81087552$	$0.86133$	$2.84745$	$[1, 1, 0, -121, 229]$	$y^2+xy=x^3+x^2-121x+229$	2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.?	$[(-6, 31), (1, 10)]$
9282.a2	9282a2	9282.a	9282a	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{3} \cdot 3^{4} \cdot 7^{4} \cdot 13 \cdot 17^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$1768$	$12$	$0$	$2.013929157$	$1$		$14$	$7680$	$0.561773$	$6997462401383/5845320936$	$0.89715$	$3.23742$	$[1, 1, 0, 399, 2205]$	$y^2+xy=x^3+x^2+399x+2205$	2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.?	$[(7, 70), (-1, 43)]$
9282.b1	9282e1	9282.b	9282e	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ 2^{2} \cdot 3^{6} \cdot 7^{2} \cdot 13^{6} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$1768$	$12$	$0$	$0.445400171$	$1$		$13$	$25344$	$1.252802$	$154813496529595177/11724454211652$	$0.94129$	$4.33250$	$[1, 1, 0, -11186, -429216]$	$y^2+xy=x^3+x^2-11186x-429216$	2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.?	$[(-61, 206)]$
9282.b2	9282e2	9282.b	9282e	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ - 2 \cdot 3^{12} \cdot 7^{4} \cdot 13^{3} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$1768$	$12$	$0$	$0.890800342$	$1$		$8$	$50688$	$1.599377$	$138675717957047543/1620336115431306$	$0.97634$	$4.64384$	$[1, 1, 0, 10784, -1883630]$	$y^2+xy=x^3+x^2+10784x-1883630$	2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.?	$[(277, 4600)]$
9282.c1	9282d3	9282.c	9282d	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ 2^{3} \cdot 3^{4} \cdot 7^{4} \cdot 13^{3} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$37128$	$48$	$0$	$9.521876682$	$1$		$0$	$110592$	$1.924124$	$447542520502832545966057/58109366952$	$0.99891$	$5.96093$	$[1, 1, 0, -1593566, -774953556]$	$y^2+xy=x^3+x^2-1593566x-774953556$	2.3.0.a.1, 4.6.0.c.1, 52.12.0-4.c.1.1, 136.12.0.?, 168.12.0.?, $\ldots$	$[(198521/11, 41629789/11)]$
9282.c2	9282d2	9282.c	9282d	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13^{6} \cdot 17^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.6.0.1	2Cs	$37128$	$48$	$0$	$4.760938341$	$1$		$4$	$55296$	$1.577549$	$109291660572926209897/39371006735424$	$0.96962$	$5.05050$	$[1, 1, 0, -99606, -12137580]$	$y^2+xy=x^3+x^2-99606x-12137580$	2.6.0.a.1, 52.12.0-2.a.1.1, 84.12.0.?, 136.12.0.?, 1092.24.0.?, $\ldots$	$[(1332, 46458)]$
9282.c3	9282d4	9282.c	9282d	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{3} \cdot 3 \cdot 7 \cdot 13^{12} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$37128$	$48$	$0$	$9.521876682$	$4$	$2$	$0$	$110592$	$1.924124$	$-68703019601012586217/66539331109805736$	$0.97837$	$5.10733$	$[1, 1, 0, -85326, -15721860]$	$y^2+xy=x^3+x^2-85326x-15721860$	2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 104.12.0.?, 136.12.0.?, $\ldots$	$[(11971/3, 1255981/3)]$
9282.c4	9282d1	9282.c	9282d	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ 2^{12} \cdot 3 \cdot 7 \cdot 13^{3} \cdot 17^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$37128$	$48$	$0$	$2.380469170$	$1$		$3$	$27648$	$1.230976$	$40027308583943017/15783560712192$	$0.94576$	$4.18444$	$[1, 1, 0, -7126, -133676]$	$y^2+xy=x^3+x^2-7126x-133676$	2.3.0.a.1, 4.6.0.c.1, 52.12.0-4.c.1.2, 84.12.0.?, 136.12.0.?, $\ldots$	$[(-61, 311)]$
9282.d1	9282f1	9282.d	9282f	$1$	$1$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{19} \cdot 3^{3} \cdot 7 \cdot 13 \cdot 17 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$37128$	$2$	$0$	$1$	$1$		$0$	$8208$	$0.745348$	$-440797954857625/21898985472$	$0.90679$	$3.69993$	$[1, 1, 0, -1585, 24661]$	$y^2+xy=x^3+x^2-1585x+24661$	37128.2.0.?	$[]$
9282.e1	9282b1	9282.e	9282b	$1$	$1$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{7} \cdot 3^{7} \cdot 7^{3} \cdot 13 \cdot 17^{7} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$37128$	$2$	$0$	$1$	$1$		$0$	$115248$	$2.098080$	$-724002020651148891625/512198939204813952$	$0.98524$	$5.34488$	$[1, 1, 0, -187070, 46349556]$	$y^2+xy=x^3+x^2-187070x+46349556$	37128.2.0.?	$[]$
9282.f1	9282c3	9282.f	9282c	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ 2 \cdot 3^{3} \cdot 7^{3} \cdot 13^{4} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.7	2B	$2184$	$48$	$0$	$3.880875233$	$4$	$2$	$2$	$368640$	$2.530315$	$2573221814539797208162915513/152882977338$	$1.02241$	$6.90851$	$[1, 1, 0, -28548579, -58723624197]$	$y^2+xy=x^3+x^2-28548579x-58723624197$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 84.12.0.?, 104.24.0.?, $\ldots$	$[(6421, 147622)]$
9282.f2	9282c2	9282.f	9282c	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ 2^{2} \cdot 3^{6} \cdot 7^{6} \cdot 13^{2} \cdot 17^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.1	2Cs	$2184$	$48$	$0$	$1.940437616$	$1$		$8$	$184320$	$2.183739$	$628231468580531210149273/4842372001819716$	$0.99995$	$5.99805$	$[1, 1, 0, -1784289, -918110655]$	$y^2+xy=x^3+x^2-1784289x-918110655$	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.?, $\ldots$	$[(3208, 160831)]$
9282.f3	9282c4	9282.f	9282c	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ - 2 \cdot 3^{12} \cdot 7^{12} \cdot 13 \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.8	2B	$2184$	$48$	$0$	$3.880875233$	$1$		$0$	$368640$	$2.530315$	$-589377067550053459948153/55271687920559220474$	$1.00112$	$6.00750$	$[1, 1, 0, -1746719, -958573545]$	$y^2+xy=x^3+x^2-1746719x-958573545$	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.?, $\ldots$	$[(28855/3, 4344545/3)]$
9282.f4	9282c1	9282.f	9282c	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ 2^{4} \cdot 3^{3} \cdot 7^{3} \cdot 13 \cdot 17^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.12	2B	$2184$	$48$	$0$	$0.970218808$	$1$		$3$	$92160$	$1.837166$	$163284962754131070553/13437317849509008$	$0.97278$	$5.09445$	$[1, 1, 0, -113869, -13745267]$	$y^2+xy=x^3+x^2-113869x-13745267$	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.?, $\ldots$	$[(-226, 827)]$
9282.g1	9282n2	9282.g	9282n	$2$	$3$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{33} \cdot 3^{6} \cdot 7^{3} \cdot 13 \cdot 17^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$3$	3.8.0.2	3B.1.2	$37128$	$16$	$0$	$1$	$1$		$0$	$370656$	$2.557064$	$-106237652098524394207033/137183418749137453056$	$1.00533$	$5.93190$	$[1, 0, 1, -986700, -678218870]$	$y^2+xy+y=x^3-986700x-678218870$	3.8.0-3.a.1.1, 12376.2.0.?, 37128.16.0.?	$[]$
9282.g2	9282n1	9282.g	9282n	$2$	$3$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{11} \cdot 3^{18} \cdot 7 \cdot 13^{3} \cdot 17 $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$3$	3.8.0.1	3B.1.1	$37128$	$16$	$0$	$1$	$1$		$2$	$123552$	$2.007755$	$121394948260111009847/207438591806724096$	$0.98583$	$5.13526$	$[1, 0, 1, 103155, 17828872]$	$y^2+xy+y=x^3+103155x+17828872$	3.8.0-3.a.1.2, 12376.2.0.?, 37128.16.0.?	$[]$
9282.h1	9282i3	9282.h	9282i	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ 2 \cdot 3^{12} \cdot 7^{4} \cdot 13 \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.7	2B	$37128$	$48$	$0$	$0.818879877$	$1$		$6$	$15360$	$0.975364$	$3299497626614617/563987509722$	$0.92242$	$3.91125$	$[1, 0, 1, -3102, -56066]$	$y^2+xy+y=x^3-3102x-56066$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 168.24.0.?, 884.12.0.?, $\ldots$	$[(-22, 51)]$
9282.h2	9282i2	9282.h	9282i	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ 2^{2} \cdot 3^{6} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.1	2Cs	$37128$	$48$	$0$	$0.409439938$	$1$		$16$	$7680$	$0.628790$	$78364289651257/6978597444$	$0.89583$	$3.50186$	$[1, 0, 1, -892, 9350]$	$y^2+xy+y=x^3-892x+9350$	2.6.0.a.1, 8.12.0-2.a.1.1, 84.12.0.?, 168.24.0.?, 884.12.0.?, $\ldots$	$[(4, 74)]$
9282.h3	9282i1	9282.h	9282i	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ 2^{4} \cdot 3^{3} \cdot 7 \cdot 13 \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.12	2B	$37128$	$48$	$0$	$0.818879877$	$1$		$7$	$3840$	$0.282217$	$73207745356537/668304$	$0.89325$	$3.49441$	$[1, 0, 1, -872, 9830]$	$y^2+xy+y=x^3-872x+9830$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 84.12.0.?, 168.24.0.?, $\ldots$	$[(18, -2)]$
9282.h4	9282i4	9282.h	9282i	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ - 2 \cdot 3^{3} \cdot 7 \cdot 13^{4} \cdot 17^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.8	2B	$37128$	$48$	$0$	$0.818879877$	$1$		$6$	$15360$	$0.975364$	$110088190986983/901697560218$	$0.93616$	$3.82111$	$[1, 0, 1, 998, 44126]$	$y^2+xy+y=x^3+998x+44126$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 84.12.0.?, 168.24.0.?, $\ldots$	$[(16, 245)]$
9282.i1	9282l1	9282.i	9282l	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ 2^{14} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \cdot 17^{5} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$1768$	$12$	$0$	$1$	$1$		$1$	$349440$	$2.522049$	$245467607504992533120574297/1733763438231552$	$1.06926$	$6.65131$	$[1, 0, 1, -13044382, 18132484496]$	$y^2+xy+y=x^3-13044382x+18132484496$	2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.?	$[]$
9282.i2	9282l2	9282.i	9282l	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{7} \cdot 3^{4} \cdot 7^{4} \cdot 13 \cdot 17^{10} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$1768$	$12$	$0$	$1$	$1$		$0$	$698880$	$2.868622$	$-244998212735457942818233177/652408656229361356416$	$1.01662$	$6.65160$	$[1, 0, 1, -13036062, 18156772240]$	$y^2+xy+y=x^3-13036062x+18156772240$	2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.?	$[]$
9282.j1	9282m3	9282.j	9282m	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ 2 \cdot 3^{4} \cdot 7 \cdot 13 \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$37128$	$48$	$0$	$1$	$4$	$2$	$0$	$10752$	$0.804958$	$496930471478093017/250614$	$0.94559$	$4.46015$	$[1, 0, 1, -16502, -817270]$	$y^2+xy+y=x^3-16502x-817270$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0-4.c.1.1, 168.24.0.?, $\ldots$	$[]$
9282.j2	9282m4	9282.j	9282m	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ 2 \cdot 3 \cdot 7 \cdot 13^{4} \cdot 17^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$37128$	$48$	$0$	$1$	$1$		$0$	$10752$	$0.804958$	$211634149400857/100188617802$	$0.92211$	$3.61060$	$[1, 0, 1, -1242, -7286]$	$y^2+xy+y=x^3-1242x-7286$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0-4.c.1.2, 168.24.0.?, $\ldots$	$[]$
9282.j3	9282m2	9282.j	9282m	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.6.0.1	2Cs	$37128$	$48$	$0$	$1$	$1$		$2$	$5376$	$0.458385$	$121382959848697/86155524$	$0.89684$	$3.54976$	$[1, 0, 1, -1032, -12830]$	$y^2+xy+y=x^3-1032x-12830$	2.6.0.a.1, 12.12.0-2.a.1.1, 56.12.0-2.a.1.1, 168.24.0.?, 884.12.0.?, $\ldots$	$[]$
9282.j4	9282m1	9282.j	9282m	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{4} \cdot 3 \cdot 7^{4} \cdot 13 \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$37128$	$48$	$0$	$1$	$1$		$1$	$2688$	$0.111811$	$-15124197817/25469808$	$0.84506$	$2.71493$	$[1, 0, 1, -52, -286]$	$y^2+xy+y=x^3-52x-286$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0-4.c.1.4, 168.24.0.?, $\ldots$	$[]$
9282.k1	9282h1	9282.k	9282h	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ 2^{20} \cdot 3^{7} \cdot 7^{3} \cdot 13 \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$18564$	$12$	$0$	$2.535151390$	$1$		$5$	$107520$	$1.831310$	$850167619482740847625/2955180493504512$	$0.97767$	$5.27505$	$[1, 0, 1, -197361, -33662204]$	$y^2+xy+y=x^3-197361x-33662204$	2.3.0.a.1, 68.6.0.b.1, 546.6.0.?, 18564.12.0.?	$[(-262, 411)]$
9282.k2	9282h2	9282.k	9282h	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{10} \cdot 3^{14} \cdot 7^{6} \cdot 13^{2} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$18564$	$12$	$0$	$1.267575695$	$1$		$6$	$215040$	$2.177883$	$-148488432493486191625/1655470281336947712$	$1.00222$	$5.41340$	$[1, 0, 1, -110321, -63499516]$	$y^2+xy+y=x^3-110321x-63499516$	2.3.0.a.1, 68.6.0.a.1, 1092.6.0.?, 18564.12.0.?	$[(747, 16090)]$
9282.l1	9282k2	9282.l	9282k	$2$	$3$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{3} \cdot 3 \cdot 7 \cdot 13^{3} \cdot 17^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$3$	3.8.0.2	3B.1.2	$37128$	$16$	$0$	$1$	$1$		$0$	$5616$	$0.507314$	$-12657482097625/1813368648$	$0.88377$	$3.32651$	$[1, 0, 1, -486, -4640]$	$y^2+xy+y=x^3-486x-4640$	3.8.0-3.a.1.1, 37128.16.0.?	$[]$
9282.l2	9282k1	9282.l	9282k	$2$	$3$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ - 2 \cdot 3^{3} \cdot 7^{3} \cdot 13 \cdot 17 $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$3$	3.8.0.1	3B.1.1	$37128$	$16$	$0$	$1$	$1$		$2$	$1872$	$-0.041992$	$6804992375/4093362$	$0.85951$	$2.47826$	$[1, 0, 1, 39, 22]$	$y^2+xy+y=x^3+39x+22$	3.8.0-3.a.1.2, 37128.16.0.?	$[]$
9282.m1	9282g1	9282.m	9282g	$1$	$1$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{5} \cdot 3^{2} \cdot 7 \cdot 13^{5} \cdot 17 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$12376$	$2$	$0$	$1$	$1$		$0$	$8800$	$0.628205$	$21297698535959/12724953696$	$0.93106$	$3.35926$	$[1, 0, 1, 577, 1010]$	$y^2+xy+y=x^3+577x+1010$	12376.2.0.?	$[]$
9282.n1	9282j1	9282.n	9282j	$1$	$1$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ - 2 \cdot 3^{2} \cdot 7^{3} \cdot 13 \cdot 17 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$12376$	$2$	$0$	$1$	$1$		$0$	$1632$	$-0.140592$	$270840023/1364454$	$0.81940$	$2.34888$	$[1, 0, 1, 13, -52]$	$y^2+xy+y=x^3+13x-52$	12376.2.0.?	$[]$
9282.o1	9282q1	9282.o	9282q	$1$	$1$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{7} \cdot 3^{6} \cdot 7 \cdot 13 \cdot 17 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$12376$	$2$	$0$	$0.416229413$	$1$		$6$	$3360$	$0.244669$	$-148035889/144353664$	$1.03348$	$2.87255$	$[1, 1, 1, -11, -583]$	$y^2+xy+y=x^3+x^2-11x-583$	12376.2.0.?	$[(15, 46)]$
9282.p1	9282p1	9282.p	9282p	$1$	$1$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{13} \cdot 3 \cdot 7^{13} \cdot 13 \cdot 17 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$37128$	$2$	$0$	$1$	$1$		$0$	$175760$	$2.087334$	$-180245792507720136625/526232894667497472$	$0.99054$	$5.30221$	$[1, 1, 1, -117683, -38253583]$	$y^2+xy+y=x^3+x^2-117683x-38253583$	37128.2.0.?	$[]$
9282.q1	9282o1	9282.q	9282o	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ 2^{4} \cdot 3^{3} \cdot 7 \cdot 13^{3} \cdot 17^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$18564$	$12$	$0$	$1$	$1$		$1$	$11520$	$0.885563$	$71032527376098625/1920037392$	$0.93565$	$4.24722$	$[1, 1, 1, -8628, 304869]$	$y^2+xy+y=x^3+x^2-8628x+304869$	2.3.0.a.1, 68.6.0.b.1, 546.6.0.?, 18564.12.0.?	$[]$
9282.q2	9282o2	9282.q	9282o	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{2} \cdot 3^{6} \cdot 7^{2} \cdot 13^{6} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$18564$	$12$	$0$	$1$	$1$		$0$	$23040$	$1.232136$	$-62961666460890625/11724454211652$	$0.97644$	$4.26456$	$[1, 1, 1, -8288, 330437]$	$y^2+xy+y=x^3+x^2-8288x+330437$	2.3.0.a.1, 68.6.0.a.1, 1092.6.0.?, 18564.12.0.?	$[]$
9282.r1	9282r1	9282.r	9282r	$1$	$1$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{9} \cdot 3^{7} \cdot 7 \cdot 13^{3} \cdot 17 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$37128$	$2$	$0$	$1$	$1$		$0$	$21168$	$0.883682$	$102181603702751/292749230592$	$0.92244$	$3.68129$	$[1, 1, 1, 974, -22849]$	$y^2+xy+y=x^3+x^2+974x-22849$	37128.2.0.?	$[]$
9282.s1	9282w1	9282.s	9282w	$1$	$1$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ - 2 \cdot 3^{13} \cdot 7 \cdot 13 \cdot 17^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$37128$	$2$	$0$	$1$	$1$		$0$	$31824$	$1.154091$	$-153509362902771121/1425589419618$	$0.93988$	$4.33332$	$[1, 0, 0, -11155, -458029]$	$y^2+xy=x^3-11155x-458029$	37128.2.0.?	$[]$
9282.t1	9282s3	9282.t	9282s	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ 2 \cdot 3^{2} \cdot 7^{4} \cdot 13^{2} \cdot 17^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.24.0.58	2B	$952$	$48$	$0$	$1$	$1$		$0$	$22528$	$1.171352$	$498513145416992497/610024187682$	$1.00135$	$4.46050$	$[1, 0, 0, -16519, -817705]$	$y^2+xy=x^3-16519x-817705$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.k.1.1, 952.48.0.?	$[]$
9282.t2	9282s4	9282.t	9282s	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ 2 \cdot 3^{2} \cdot 7 \cdot 13^{8} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.24.0.103	2B	$952$	$48$	$0$	$1$	$4$	$2$	$0$	$22528$	$1.171352$	$192013151632280497/1747295204382$	$0.94100$	$4.35607$	$[1, 0, 0, -12019, 502163]$	$y^2+xy=x^3-12019x+502163$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.7, 476.12.0.?, 952.48.0.?	$[]$
9282.t3	9282s2	9282.t	9282s	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ 2^{2} \cdot 3^{4} \cdot 7^{2} \cdot 13^{4} \cdot 17^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.24.0.1	2Cs	$952$	$48$	$0$	$1$	$1$		$2$	$11264$	$0.824779$	$248063797363537/131042552004$	$0.97694$	$3.62799$	$[1, 0, 0, -1309, -5491]$	$y^2+xy=x^3-1309x-5491$	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.2, 476.24.0.?, 952.48.0.?	$[]$
9282.t4	9282s1	9282.t	9282s	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{4} \cdot 3^{8} \cdot 7 \cdot 13^{2} \cdot 17 $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.24.0.50	2B	$952$	$48$	$0$	$1$	$1$		$3$	$5632$	$0.478205$	$3325964415983/2111172336$	$0.95191$	$3.15601$	$[1, 0, 0, 311, -631]$	$y^2+xy=x^3+311x-631$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.1, 238.6.0.?, 476.24.0.?, $\ldots$	$[]$
9282.u1	9282t1	9282.u	9282t	$1$	$1$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ - 2 \cdot 3^{6} \cdot 7 \cdot 13^{3} \cdot 17^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$12376$	$2$	$0$	$1$	$1$		$0$	$41760$	$1.419834$	$-4069400507818743889/31836860010774$	$0.95569$	$4.69180$	$[1, 0, 0, -33261, 2347767]$	$y^2+xy=x^3-33261x+2347767$	12376.2.0.?	$[]$
9282.v1	9282u1	9282.v	9282u	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ 2^{10} \cdot 3^{4} \cdot 7^{4} \cdot 13^{10} \cdot 17^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$1768$	$12$	$0$	$1$	$1$		$1$	$1612800$	$3.143475$	$448370126000857162602152353/134883063988931602326528$	$1.02435$	$6.71725$	$[1, 0, 0, -15945482, -16983780828]$	$y^2+xy=x^3-15945482x-16983780828$	2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.?	$[]$
9282.v2	9282u2	9282.v	9282u	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{5} \cdot 3^{8} \cdot 7^{8} \cdot 13^{5} \cdot 17^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$1768$	$12$	$0$	$1$	$1$		$0$	$3225600$	$3.490047$	$9078932501639240351982661727/10847124527712371223290784$	$1.03641$	$7.05336$	$[1, 0, 0, 43461398, -113781351100]$	$y^2+xy=x^3+43461398x-113781351100$	2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.?	$[]$
9282.w1	9282x3	9282.w	9282x	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.8	2B	$37128$	$48$	$0$	$1$	$4$	$2$	$0$	$16384$	$1.015881$	$1399279497274949473/364819728$	$1.02360$	$4.57347$	$[1, 0, 0, -23302, -1371052]$	$y^2+xy=x^3-23302x-1371052$	2.3.0.a.1, 4.12.0-4.c.1.2, 136.24.0.?, 546.6.0.?, 1092.24.0.?, $\ldots$	$[]$
9282.w2	9282x2	9282.w	9282x	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ 2^{8} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.1	2Cs	$18564$	$48$	$0$	$1$	$1$		$2$	$8192$	$0.669308$	$345608484635233/5513953536$	$0.98799$	$3.66429$	$[1, 0, 0, -1462, -21340]$	$y^2+xy=x^3-1462x-21340$	2.6.0.a.1, 4.12.0-2.a.1.1, 68.24.0-68.a.1.1, 1092.24.0.?, 18564.48.0.?	$[]$
9282.w3	9282x1	9282.w	9282x	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ 2^{16} \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.6	2B	$37128$	$48$	$0$	$1$	$1$		$1$	$4096$	$0.322734$	$666940371553/304152576$	$0.87689$	$2.98013$	$[1, 0, 0, -182, 420]$	$y^2+xy=x^3-182x+420$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 68.12.0-4.c.1.2, 136.24.0.?, $\ldots$	$[]$
9282.w4	9282x4	9282.w	9282x	$4$	$4$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ - 2^{4} \cdot 3^{4} \cdot 7^{4} \cdot 13^{4} \cdot 17 $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.7	2B	$37128$	$48$	$0$	$1$	$1$		$2$	$16384$	$1.015881$	$-117433042273/1510843540752$	$1.00331$	$3.88563$	$[1, 0, 0, -102, -59148]$	$y^2+xy=x^3-102x-59148$	2.3.0.a.1, 4.12.0-4.c.1.1, 68.24.0-68.h.1.2, 2184.24.0.?, 37128.48.0.?	$[]$
9282.x1	9282v1	9282.x	9282v	$2$	$2$	$ 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 $	$ 2^{4} \cdot 3 \cdot 7^{3} \cdot 13 \cdot 17^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$18564$	$12$	$0$	$1$	$1$		$1$	$6144$	$0.267851$	$1855878893569/61855248$	$0.86529$	$3.09215$	$[1, 0, 0, -256, -1552]$	$y^2+xy=x^3-256x-1552$	2.3.0.a.1, 68.6.0.b.1, 546.6.0.?, 18564.12.0.?	$[]$

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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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