LMFDB - Elliptic curves over $\Q$ of conductor 21840

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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	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
21840.a1	21840bf3	21840.a	21840bf	$4$	$6$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{18} \cdot 3^{2} \cdot 5^{3} \cdot 7^{2} \cdot 13^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$10920$	$96$	$1$	$0.451143182$	$1$		$11$	$248832$	$1.922777$	$15082569606665230489/7751016000$	$0.98765$	$5.25225$	$[0, -1, 0, -823576, 287950576]$	$y^2=x^3-x^2-823576x+287950576$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 56.6.0.c.1, $\ldots$	$[(538, 546)]$
21840.a2	21840bf4	21840.a	21840bf	$4$	$6$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{15} \cdot 3^{4} \cdot 5^{6} \cdot 7 \cdot 13^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$10920$	$96$	$1$	$0.902286364$	$1$		$7$	$497664$	$2.269352$	$-14837772556740428569/342100087875000$	$0.98803$	$5.25452$	$[0, -1, 0, -819096, 291233520]$	$y^2=x^3-x^2-819096x+291233520$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 56.6.0.b.1, $\ldots$	$[(474, 3042)]$
21840.a3	21840bf1	21840.a	21840bf	$4$	$6$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{14} \cdot 3^{6} \cdot 5 \cdot 7^{6} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$10920$	$96$	$1$	$1.353429546$	$1$		$7$	$82944$	$1.373470$	$48264326765929/22299191460$	$0.94425$	$3.98594$	$[0, -1, 0, -12136, 235120]$	$y^2=x^3-x^2-12136x+235120$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 56.6.0.c.1, $\ldots$	$[(4, 432)]$
21840.a4	21840bf2	21840.a	21840bf	$4$	$6$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{13} \cdot 3^{12} \cdot 5^{2} \cdot 7^{3} \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$10920$	$96$	$1$	$2.706859093$	$1$		$5$	$165888$	$1.720043$	$2108526614950391/1540302022350$	$0.96919$	$4.36396$	$[0, -1, 0, 42744, 1727856]$	$y^2=x^3-x^2+42744x+1727856$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 56.6.0.b.1, $\ldots$	$[(26, 1690)]$
21840.b1	21840x4	21840.b	21840x	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{21} \cdot 3 \cdot 5^{5} \cdot 7^{4} \cdot 13^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.7	2B	$840$	$48$	$0$	$1$	$4$	$2$	$1$	$4423680$	$3.531872$	$1861772567578966373029167169/9401133413380800000$	$1.04238$	$7.11696$	$[0, -1, 0, -410066496, -3196016968704]$	$y^2=x^3-x^2-410066496x-3196016968704$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 56.24.0-56.bb.1.6, 60.12.0-4.c.1.2, $\ldots$	$[]$
21840.b2	21840x2	21840.b	21840x	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{30} \cdot 3^{2} \cdot 5^{10} \cdot 7^{2} \cdot 13^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.1	2Cs	$840$	$48$	$0$	$1$	$1$		$3$	$2211840$	$3.185299$	$478202393398338853167169/32244226560000000000$	$1.02322$	$6.28956$	$[0, -1, 0, -26066496, -48138568704]$	$y^2=x^3-x^2-26066496x-48138568704$	2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0-2.a.1.1, 56.24.0-56.a.1.2, 60.12.0-2.a.1.1, $\ldots$	$[]$
21840.b3	21840x1	21840.b	21840x	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{48} \cdot 3 \cdot 5^{5} \cdot 7 \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.12	2B	$840$	$48$	$0$	$1$	$1$		$1$	$1105920$	$2.838722$	$3571003510905229697089/762141946675200000$	$1.01202$	$5.79942$	$[0, -1, 0, -5094976, 3518479360]$	$y^2=x^3-x^2-5094976x+3518479360$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 28.12.0-4.c.1.1, 56.24.0-56.bb.1.9, $\ldots$	$[]$
21840.b4	21840x3	21840.b	21840x	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{21} \cdot 3^{4} \cdot 5^{20} \cdot 7 \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.8	2B	$840$	$48$	$0$	$1$	$1$		$1$	$4423680$	$3.531872$	$303025056761573589385151/4678857421875000000000$	$1.05056$	$6.56875$	$[0, -1, 0, 22389184, -206646789120]$	$y^2=x^3-x^2+22389184x-206646789120$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 28.12.0-4.c.1.2, 56.24.0-56.v.1.3, $\ldots$	$[]$
21840.c1	21840w4	21840.c	21840w	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{13} \cdot 3^{5} \cdot 5 \cdot 7^{4} \cdot 13^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.7	2B	$840$	$48$	$0$	$1$	$4$	$2$	$1$	$491520$	$2.390957$	$8261629364934163009/4759323790524030$	$1.04926$	$5.19201$	$[0, -1, 0, -673856, 14572416]$	$y^2=x^3-x^2-673856x+14572416$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 56.24.0-56.bb.1.6, 60.12.0-4.c.1.2, $\ldots$	$[]$
21840.c2	21840w2	21840.c	21840w	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{14} \cdot 3^{10} \cdot 5^{2} \cdot 7^{2} \cdot 13^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.1	2Cs	$840$	$48$	$0$	$1$	$1$		$3$	$245760$	$2.044384$	$2975849362756797409/8263842596100$	$0.98108$	$5.08981$	$[0, -1, 0, -479456, 127635456]$	$y^2=x^3-x^2-479456x+127635456$	2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0-2.a.1.1, 56.24.0-56.a.1.2, 60.12.0-2.a.1.1, $\ldots$	$[]$
21840.c3	21840w1	21840.c	21840w	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{16} \cdot 3^{5} \cdot 5 \cdot 7 \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.12	2B	$840$	$48$	$0$	$1$	$1$		$1$	$122880$	$1.697809$	$2969894891179808929/22997520$	$0.98102$	$5.08961$	$[0, -1, 0, -479136, 127814400]$	$y^2=x^3-x^2-479136x+127814400$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 28.12.0-4.c.1.1, 56.24.0-56.bb.1.9, $\ldots$	$[]$
21840.c4	21840w3	21840.c	21840w	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{13} \cdot 3^{20} \cdot 5^{4} \cdot 7 \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.8	2B	$840$	$48$	$0$	$1$	$1$		$1$	$491520$	$2.390957$	$-659704930833045889/5156082432978750$	$1.00607$	$5.20671$	$[0, -1, 0, -290176, 229240960]$	$y^2=x^3-x^2-290176x+229240960$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 28.12.0-4.c.1.2, 56.24.0-56.v.1.3, $\ldots$	$[]$
21840.d1	21840z2	21840.d	21840z	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{8} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$1$	$5376$	$0.163439$	$3269383504/47775$	$0.80247$	$2.74764$	$[0, -1, 0, -196, -980]$	$y^2=x^3-x^2-196x-980$	2.3.0.a.1, 140.6.0.?, 156.6.0.?, 5460.12.0.?	$[]$
21840.d2	21840z1	21840.d	21840z	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$1$	$2688$	$-0.183135$	$-16384/53235$	$0.94515$	$2.11279$	$[0, -1, 0, -1, -44]$	$y^2=x^3-x^2-x-44$	2.3.0.a.1, 70.6.0.a.1, 156.6.0.?, 5460.12.0.?	$[]$
21840.e1	21840y4	21840.e	21840y	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{15} \cdot 3^{8} \cdot 5 \cdot 7^{2} \cdot 13^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.8	2B	$520$	$48$	$0$	$1$	$1$		$1$	$147456$	$1.786470$	$136948444639063849/367281893160$	$0.96731$	$4.78168$	$[0, -1, 0, -171816, 27405936]$	$y^2=x^3-x^2-171816x+27405936$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 20.12.0-4.c.1.2, 40.24.0-40.v.1.2, $\ldots$	$[]$
21840.e2	21840y2	21840.e	21840y	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{18} \cdot 3^{4} \cdot 5^{2} \cdot 7^{4} \cdot 13^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.1	2Cs	$520$	$48$	$0$	$1$	$1$		$3$	$73728$	$1.439898$	$91422999252649/52587662400$	$1.00003$	$4.04987$	$[0, -1, 0, -15016, 60016]$	$y^2=x^3-x^2-15016x+60016$	2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.a.1.2, 52.12.0-2.a.1.1, $\ldots$	$[]$
21840.e3	21840y1	21840.e	21840y	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{24} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.12	2B	$520$	$48$	$0$	$1$	$1$		$1$	$36864$	$1.093323$	$26168974809769/117411840$	$0.91802$	$3.92467$	$[0, -1, 0, -9896, -374160]$	$y^2=x^3-x^2-9896x-374160$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.1, 40.24.0-40.bb.1.1, $\ldots$	$[]$
21840.e4	21840y3	21840.e	21840y	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{15} \cdot 3^{2} \cdot 5^{4} \cdot 7^{8} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.7	2B	$520$	$48$	$0$	$1$	$1$		$1$	$147456$	$1.786470$	$5792335463322071/3372408585000$	$1.01952$	$4.46510$	$[0, -1, 0, 59864, 419440]$	$y^2=x^3-x^2+59864x+419440$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.bb.1.6, 52.12.0-4.c.1.2, $\ldots$	$[]$
21840.f1	21840bd7	21840.f	21840bd	$8$	$12$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{18} \cdot 3 \cdot 5^{12} \cdot 7^{4} \cdot 13^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$4.011536855$	$1$		$3$	$1990656$	$3.031075$	$1286229821345376481036009/247265484375000000$	$1.02474$	$6.38858$	$[0, -1, 0, -36250856, 84007071600]$	$y^2=x^3-x^2-36250856x+84007071600$	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.96.0-12.c.1.2, $\ldots$	$[(5914, 276458)]$
21840.f2	21840bd8	21840.f	21840bd	$8$	$12$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{18} \cdot 3 \cdot 5^{3} \cdot 7 \cdot 13^{12} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$4.011536855$	$1$		$3$	$1990656$	$3.031075$	$109454124781830273937129/3914078300576808000$	$1.12174$	$6.14198$	$[0, -1, 0, -15944936, -23731998864]$	$y^2=x^3-x^2-15944936x-23731998864$	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.96.0-12.c.3.4, $\ldots$	$[(5650, 257894)]$
21840.f3	21840bd5	21840.f	21840bd	$8$	$12$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{14} \cdot 3^{3} \cdot 5 \cdot 7^{3} \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$12.03461056$	$1$		$1$	$663552$	$2.481770$	$106607603143751752938169/5290068420$	$1.01776$	$6.13934$	$[0, -1, 0, -15805496, -24180523920]$	$y^2=x^3-x^2-15805496x-24180523920$	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.96.0-12.c.4.7, $\ldots$	$[(4102954/11, 8250802742/11)]$
21840.f4	21840bd6	21840.f	21840bd	$8$	$12$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{24} \cdot 3^{2} \cdot 5^{6} \cdot 7^{2} \cdot 13^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$5460$	$384$	$5$	$2.005768427$	$1$		$9$	$995328$	$2.684502$	$424378956393532177129/136231857216000000$	$1.00868$	$5.58624$	$[0, -1, 0, -2504936, 1019105136]$	$y^2=x^3-x^2-2504936x+1019105136$	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.96.0-12.a.1.3, 52.12.0-2.a.1.1, $\ldots$	$[(-742, 49686)]$
21840.f5	21840bd4	21840.f	21840bd	$8$	$12$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{14} \cdot 3^{3} \cdot 5^{4} \cdot 7^{12} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$12.03461056$	$1$		$1$	$663552$	$2.481770$	$35958207000163259449/12145729518877500$	$1.00069$	$5.33920$	$[0, -1, 0, -1100216, -286237584]$	$y^2=x^3-x^2-1100216x-286237584$	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.96.0-12.c.2.3, $\ldots$	$[(1657114/7, 2132119550/7)]$
21840.f6	21840bd2	21840.f	21840bd	$8$	$12$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{16} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$5460$	$384$	$5$	$6.017305283$	$1$		$5$	$331776$	$2.135193$	$26031421522845051769/5797789779600$	$0.98980$	$5.30687$	$[0, -1, 0, -987896, -377531280]$	$y^2=x^3-x^2-987896x-377531280$	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.96.0-12.a.2.7, 52.12.0-2.a.1.1, $\ldots$	$[(33818, 6216210)]$
21840.f7	21840bd1	21840.f	21840bd	$8$	$12$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{20} \cdot 3^{12} \cdot 5 \cdot 7^{3} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$12.03461056$	$1$		$1$	$165888$	$1.788620$	$-4437543642183289/3033210136320$	$0.96041$	$4.51649$	$[0, -1, 0, -54776, -7269264]$	$y^2=x^3-x^2-54776x-7269264$	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.8, $\ldots$	$[(4472477/23, 9454256658/23)]$
21840.f8	21840bd3	21840.f	21840bd	$8$	$12$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{36} \cdot 3^{4} \cdot 5^{3} \cdot 7 \cdot 13^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$4.011536855$	$1$		$3$	$497664$	$2.337929$	$2366200373628880151/2612420149248000$	$1.07425$	$5.06687$	$[0, -1, 0, 444184, 108416880]$	$y^2=x^3-x^2+444184x+108416880$	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.4, $\ldots$	$[(221, 14742)]$
21840.g1	21840bb4	21840.g	21840bb	$4$	$6$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{8} \cdot 3^{2} \cdot 5^{12} \cdot 7 \cdot 13^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1092$	$96$	$1$	$3.397816156$	$1$		$3$	$124416$	$1.766356$	$126449185587012304/33791748046875$	$1.02511$	$4.49620$	$[0, -1, 0, -66396, 4853196]$	$y^2=x^3-x^2-66396x+4853196$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.48.0-12.j.1.2, 364.6.0.?, $\ldots$	$[(-27, 2574)]$
21840.g2	21840bb2	21840.g	21840bb	$4$	$6$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 7^{3} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1092$	$96$	$1$	$10.19344846$	$1$		$1$	$41472$	$1.217049$	$5646857395652944/2031631875$	$0.93500$	$4.18506$	$[0, -1, 0, -23556, -1383300]$	$y^2=x^3-x^2-23556x-1383300$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.48.0-12.j.1.4, 364.6.0.?, $\ldots$	$[(105037/18, 29128825/18)]$
21840.g3	21840bb1	21840.g	21840bb	$4$	$6$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1092$	$96$	$1$	$5.096724234$	$1$		$1$	$20736$	$0.870475$	$-13870539341824/13420809675$	$0.98085$	$3.40451$	$[0, -1, 0, -1261, -27764]$	$y^2=x^3-x^2-1261x-27764$	2.3.0.a.1, 3.4.0.a.1, 6.24.0.b.1, 12.48.0-6.b.1.1, 364.6.0.?, $\ldots$	$[(1229/2, 42705/2)]$
21840.g4	21840bb3	21840.g	21840bb	$4$	$6$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{4} \cdot 3 \cdot 5^{6} \cdot 7^{2} \cdot 13^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1092$	$96$	$1$	$1.698908078$	$1$		$1$	$62208$	$1.419781$	$7998456195055616/11086576921875$	$1.10415$	$3.97574$	$[0, -1, 0, 10499, 485560]$	$y^2=x^3-x^2+10499x+485560$	2.3.0.a.1, 3.4.0.a.1, 6.24.0.b.1, 12.48.0-6.b.1.4, 364.6.0.?, $\ldots$	$[(-43/2, 4875/2)]$
21840.h1	21840bc4	21840.h	21840bc	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{12} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$10920$	$48$	$0$	$1.868762146$	$1$		$7$	$24576$	$0.948646$	$19790357598649/2998905$	$0.91596$	$3.89671$	$[0, -1, 0, -9016, -326480]$	$y^2=x^3-x^2-9016x-326480$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 104.12.0.?, 140.12.0.?, $\ldots$	$[(-54, 2)]$
21840.h2	21840bc3	21840.h	21840bc	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{12} \cdot 3 \cdot 5^{4} \cdot 7^{4} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$10920$	$48$	$0$	$1.868762146$	$1$		$5$	$24576$	$0.948646$	$1408317602329/58524375$	$0.89699$	$3.63221$	$[0, -1, 0, -3736, 85936]$	$y^2=x^3-x^2-3736x+85936$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 52.12.0-4.c.1.2, 156.24.0.?, $\ldots$	$[(66, 350)]$
21840.h3	21840bc2	21840.h	21840bc	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{12} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$5460$	$48$	$0$	$0.934381073$	$1$		$15$	$12288$	$0.602073$	$6321363049/1863225$	$0.99851$	$3.09112$	$[0, -1, 0, -616, -3920]$	$y^2=x^3-x^2-616x-3920$	2.6.0.a.1, 12.12.0-2.a.1.1, 52.12.0-2.a.1.1, 140.12.0.?, 156.24.0.?, $\ldots$	$[(-14, 42)]$
21840.h4	21840bc1	21840.h	21840bc	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{12} \cdot 3^{4} \cdot 5 \cdot 7 \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$10920$	$48$	$0$	$1.868762146$	$1$		$5$	$6144$	$0.255499$	$30080231/36855$	$0.80519$	$2.56698$	$[0, -1, 0, 104, -464]$	$y^2=x^3-x^2+104x-464$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 52.12.0-4.c.1.1, 140.12.0.?, $\ldots$	$[(13, 54)]$
21840.i1	21840b4	21840.i	21840b	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{10} \cdot 3^{5} \cdot 5^{8} \cdot 7^{8} \cdot 13^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.6	2B	$312$	$48$	$0$	$1$	$1$		$1$	$1228800$	$2.882145$	$181513839777967159549636/1202210966668359375$	$1.01535$	$6.05386$	$[0, -1, 0, -11889456, 15692828400]$	$y^2=x^3-x^2-11889456x+15692828400$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.1, 24.24.0-24.z.1.12, $\ldots$	$[]$
21840.i2	21840b2	21840.i	21840b	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{8} \cdot 3^{10} \cdot 5^{4} \cdot 7^{4} \cdot 13^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.1	2Cs	$156$	$48$	$0$	$1$	$1$		$3$	$614400$	$2.535572$	$769184747004659888464/427705503364400625$	$1.02863$	$5.36827$	$[0, -1, 0, -1212036, -101211264]$	$y^2=x^3-x^2-1212036x-101211264$	2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.1, 52.24.0-52.b.1.2, 156.48.0.?	$[]$
21840.i3	21840b1	21840.i	21840b	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{4} \cdot 3^{20} \cdot 5^{2} \cdot 7^{2} \cdot 13^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.8	2B	$312$	$48$	$0$	$1$	$1$		$1$	$307200$	$2.188999$	$5326172487431504287744/9384070028021325$	$1.01977$	$5.28444$	$[0, -1, 0, -916791, -337052970]$	$y^2=x^3-x^2-916791x-337052970$	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.z.1.16, 26.6.0.b.1, 52.24.0-52.g.1.1, $\ldots$	$[]$
21840.i4	21840b3	21840.i	21840b	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{10} \cdot 3^{5} \cdot 5^{2} \cdot 7^{2} \cdot 13^{12} $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.7	2B	$312$	$48$	$0$	$1$	$1$		$3$	$1228800$	$2.882145$	$11512271847440983233884/6935257488834531675$	$1.04128$	$5.77783$	$[0, -1, 0, 4741464, -806105664]$	$y^2=x^3-x^2+4741464x-806105664$	2.3.0.a.1, 4.12.0-4.c.1.1, 6.6.0.a.1, 12.24.0-12.g.1.2, 104.24.0.?, $\ldots$	$[]$
21840.j1	21840a4	21840.j	21840a	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{10} \cdot 3^{2} \cdot 5 \cdot 7^{4} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$3640$	$48$	$0$	$0.719688624$	$1$		$7$	$24576$	$0.939528$	$210751929444676/1404585$	$0.92272$	$3.99471$	$[0, -1, 0, -12496, 541840]$	$y^2=x^3-x^2-12496x+541840$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 52.12.0-4.c.1.2, 56.12.0-4.c.1.5, $\ldots$	$[(64, 12)]$
21840.j2	21840a3	21840.j	21840a	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{10} \cdot 3^{8} \cdot 5^{4} \cdot 7 \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$3640$	$48$	$0$	$2.878754498$	$1$		$3$	$24576$	$0.939528$	$1934207124196/373156875$	$0.89296$	$3.52522$	$[0, -1, 0, -2616, -41184]$	$y^2=x^3-x^2-2616x-41184$	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0-4.c.1.5, 52.12.0-4.c.1.1, $\ldots$	$[(61, 150)]$
21840.j3	21840a2	21840.j	21840a	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$1820$	$48$	$0$	$1.439377249$	$1$		$9$	$12288$	$0.592954$	$218156637904/16769025$	$0.85519$	$3.16806$	$[0, -1, 0, -796, 8320]$	$y^2=x^3-x^2-796x+8320$	2.6.0.a.1, 20.12.0-2.a.1.1, 28.12.0-2.a.1.1, 52.12.0-2.a.1.1, 140.24.0.?, $\ldots$	$[(4, 72)]$
21840.j4	21840a1	21840.j	21840a	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$3640$	$48$	$0$	$2.878754498$	$1$		$3$	$6144$	$0.246381$	$796706816/8996715$	$0.88447$	$2.62094$	$[0, -1, 0, 49, 546]$	$y^2=x^3-x^2+49x+546$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 28.12.0-4.c.1.1, 70.6.0.a.1, $\ldots$	$[(10, 44)]$
21840.k1	21840ba4	21840.k	21840ba	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{12} \cdot 3^{12} \cdot 5^{4} \cdot 7^{3} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$10920$	$48$	$0$	$1$	$4$	$2$	$1$	$221184$	$1.950335$	$1559802282754777489/1481059636875$	$0.97830$	$5.02516$	$[0, -1, 0, -386576, -92307840]$	$y^2=x^3-x^2-386576x-92307840$	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 52.12.0-4.c.1.1, 120.12.0.?, $\ldots$	$[]$
21840.k2	21840ba2	21840.k	21840ba	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$5460$	$48$	$0$	$1$	$1$		$3$	$110592$	$1.603760$	$718576775407009/362361861225$	$0.96651$	$4.25622$	$[0, -1, 0, -29856, -702144]$	$y^2=x^3-x^2-29856x-702144$	2.6.0.a.1, 28.12.0-2.a.1.1, 52.12.0-2.a.1.1, 60.12.0-2.a.1.1, 364.24.0.?, $\ldots$	$[]$
21840.k3	21840ba1	21840.k	21840ba	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{12} \cdot 3^{3} \cdot 5 \cdot 7^{3} \cdot 13^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$10920$	$48$	$0$	$1$	$1$		$1$	$55296$	$1.257187$	$117713838907729/1322517105$	$0.92830$	$4.07517$	$[0, -1, 0, -16336, 801280]$	$y^2=x^3-x^2-16336x+801280$	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 60.12.0-4.c.1.1, 104.12.0.?, $\ldots$	$[]$
21840.k4	21840ba3	21840.k	21840ba	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{12} \cdot 3^{3} \cdot 5 \cdot 7^{12} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$10920$	$48$	$0$	$1$	$4$	$2$	$1$	$221184$	$1.950335$	$36472485598112591/24291459037755$	$1.07485$	$4.64926$	$[0, -1, 0, 110544, -5531904]$	$y^2=x^3-x^2+110544x-5531904$	2.3.0.a.1, 4.6.0.c.1, 52.12.0-4.c.1.2, 56.12.0-4.c.1.5, 60.12.0-4.c.1.2, $\ldots$	$[]$
21840.l1	21840be5	21840.l	21840be	$6$	$18$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{30} \cdot 3 \cdot 5^{9} \cdot 7 \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 9.12.0.1	2B, 3B	$32760$	$864$	$21$	$10.38554403$	$1$		$1$	$1119744$	$2.726410$	$68463752473882049153689/1817088000000000$	$1.01646$	$6.09502$	$[0, -1, 0, -13636376, 19386011376]$	$y^2=x^3-x^2-13636376x+19386011376$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 12.24.0-6.a.1.9, $\ldots$	$[(1319986/25, 23172734/25)]$
21840.l2	21840be6	21840.l	21840be	$6$	$18$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ - 2^{21} \cdot 3^{2} \cdot 5^{18} \cdot 7^{2} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 9.12.0.1	2B, 3B	$32760$	$864$	$21$	$5.192772019$	$1$		$3$	$2239488$	$3.072983$	$-60752633741424905775769/11197265625000000000$	$1.01873$	$6.11073$	$[0, -1, 0, -13103896, 20968967920]$	$y^2=x^3-x^2-13103896x+20968967920$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 12.24.0-6.a.1.9, $\ldots$	$[(-3380, 163200)]$
21840.l3	21840be3	21840.l	21840be	$6$	$18$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{18} \cdot 3^{3} \cdot 5^{3} \cdot 7^{3} \cdot 13^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.12.0.1	2B, 3Cs	$32760$	$864$	$21$	$3.461848012$	$1$		$5$	$373248$	$2.177101$	$673163386034885929/357608625192000$	$1.00441$	$4.94105$	$[0, -1, 0, -292136, -17308560]$	$y^2=x^3-x^2-292136x-17308560$	2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 12.72.0-6.a.1.1, 104.6.0.?, $\ldots$	$[(-86, 2678)]$
21840.l4	21840be1	21840.l	21840be	$6$	$18$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 $	$ 2^{14} \cdot 3^{9} \cdot 5 \cdot 7 \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 9.12.0.1	2B, 3B	$32760$	$864$	$21$	$10.38554403$	$1$		$1$	$124416$	$1.627796$	$326355561310674169/465699780$	$0.97132$	$4.86859$	$[0, -1, 0, -229496, -42240144]$	$y^2=x^3-x^2-229496x-42240144$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 12.24.0-6.a.1.3, $\ldots$	$[(149788/11, 52724464/11)]$

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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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