LMFDB - Elliptic curves over $\Q$ of conductor 270480

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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
270480.a1	270480a1	270480.a	270480a	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{11} \cdot 3^{7} \cdot 5^{5} \cdot 7^{10} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2760$	$2$	$0$	$10.14457484$	$1$		$2$	$10725120$	$2.558853$	$1238039614322/157190625$	$0.91457$	$4.39147$	$[0, -1, 0, -1863976, -864791024]$	$y^2=x^3-x^2-1863976x-864791024$	2760.2.0.?	$[(84840, 24708244)]$
270480.b1	270480b1	270480.b	270480b	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{8} \cdot 3^{2} \cdot 5^{11} \cdot 7^{2} \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$230$	$2$	$0$	$1$	$1$		$0$	$2280960$	$1.912146$	$-816112168883536/5346826171875$	$0.96277$	$3.70036$	$[0, -1, 0, -45236, -12983760]$	$y^2=x^3-x^2-45236x-12983760$	230.2.0.?	$[]$
270480.c1	270480c6	270480.c	270480c	$6$	$8$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{11} \cdot 3^{8} \cdot 5^{4} \cdot 7^{14} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.88	2B	$7728$	$192$	$1$	$1$	$1$		$1$	$31457280$	$3.209755$	$16841893263968213282/543703603314375$	$0.97340$	$5.08240$	$[0, -1, 0, -33229856, -71632346400]$	$y^2=x^3-x^2-33229856x-71632346400$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0-4.c.1.2, 48.48.0-8.bb.1.6, $\ldots$	$[]$
270480.c2	270480c4	270480.c	270480c	$6$	$8$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{10} \cdot 3^{4} \cdot 5^{8} \cdot 7^{10} \cdot 23^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.10	2Cs	$3864$	$192$	$1$	$1$	$1$		$3$	$15728640$	$2.863182$	$118566490663726564/40187675390625$	$0.95660$	$4.63075$	$[0, -1, 0, -5054856, 2817273600]$	$y^2=x^3-x^2-5054856x+2817273600$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0-8.e.2.6, 28.24.0-4.b.1.3, $\ldots$	$[]$
270480.c3	270480c2	270480.c	270480c	$6$	$8$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{8} \cdot 3^{2} \cdot 5^{4} \cdot 7^{8} \cdot 23^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.18	2Cs	$3864$	$192$	$1$	$1$	$1$		$3$	$7864320$	$2.516605$	$342799332162880336/77131175625$	$0.94437$	$4.60479$	$[0, -1, 0, -4536436, 3719739136]$	$y^2=x^3-x^2-4536436x+3719739136$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0-4.b.1.2, 24.48.0-8.e.1.16, $\ldots$	$[]$
270480.c4	270480c1	270480.c	270480c	$6$	$8$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{7} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.13	2B	$7728$	$192$	$1$	$1$	$1$		$1$	$3932160$	$2.170033$	$5483900709072173056/277725$	$1.09987$	$4.60478$	$[0, -1, 0, -4536191, 3720160830]$	$y^2=x^3-x^2-4536191x+3720160830$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0.e.2, $\ldots$	$[]$
270480.c5	270480c3	270480.c	270480c	$6$	$8$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{10} \cdot 3 \cdot 5^{2} \cdot 7^{7} \cdot 23^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.90	2B	$7728$	$192$	$1$	$1$	$1$		$1$	$15728640$	$2.863182$	$-59722927783102084/41113267272525$	$0.95280$	$4.63858$	$[0, -1, 0, -4021936, 4595212336]$	$y^2=x^3-x^2-4021936x+4595212336$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0-4.c.1.2, 24.48.0-8.bb.2.4, $\ldots$	$[]$
270480.c6	270480c5	270480.c	270480c	$6$	$8$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{11} \cdot 3^{2} \cdot 5^{16} \cdot 7^{8} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.1	2B	$7728$	$192$	$1$	$1$	$4$	$2$	$1$	$31457280$	$3.209755$	$1495639267637215678/1547698974609375$	$0.97836$	$4.88882$	$[0, -1, 0, 14825424, 19500804576]$	$y^2=x^3-x^2+14825424x+19500804576$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.1, 24.24.0-8.n.1.4, $\ldots$	$[]$
270480.d1	270480d1	270480.d	270480d	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{11} \cdot 3^{3} \cdot 5 \cdot 7^{8} \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2760$	$2$	$0$	$1$	$1$		$0$	$822528$	$1.445835$	$564950498/3105$	$1.06875$	$3.46533$	$[0, -1, 0, -39216, 2988000]$	$y^2=x^3-x^2-39216x+2988000$	2760.2.0.?	$[]$
270480.e1	270480e4	270480.e	270480e	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{10} \cdot 3 \cdot 5 \cdot 7^{14} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$19320$	$48$	$0$	$5.830611648$	$1$		$3$	$5111808$	$2.107048$	$58687749106564/1988856345$	$0.89917$	$4.02226$	$[0, -1, 0, -399856, -94294640]$	$y^2=x^3-x^2-399856x-94294640$	2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 56.12.0-4.c.1.5, 140.12.0.?, $\ldots$	$[(-399, 1252)]$
270480.e2	270480e2	270480.e	270480e	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 7^{10} \cdot 23^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$9660$	$48$	$0$	$2.915305824$	$1$		$9$	$2555904$	$1.760475$	$864848456656/285779025$	$0.86248$	$3.57424$	$[0, -1, 0, -61756, 3889600]$	$y^2=x^3-x^2-61756x+3889600$	2.6.0.a.1, 20.12.0.a.1, 28.12.0-2.a.1.1, 140.24.0.?, 276.12.0.?, $\ldots$	$[(61, 588)]$
270480.e3	270480e1	270480.e	270480e	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{4} \cdot 3 \cdot 5^{4} \cdot 7^{8} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$19320$	$48$	$0$	$5.830611648$	$1$		$3$	$1277952$	$1.413900$	$10115186538496/2113125$	$0.89487$	$3.54919$	$[0, -1, 0, -55631, 5068050]$	$y^2=x^3-x^2-55631x+5068050$	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0.ba.1, 138.6.0.?, $\ldots$	$[(1738, 71800)]$
270480.e4	270480e3	270480.e	270480e	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{10} \cdot 3^{4} \cdot 5 \cdot 7^{8} \cdot 23^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1.457652912$	$1$		$5$	$5111808$	$2.107048$	$5207251926236/5553444645$	$0.90087$	$3.82860$	$[0, -1, 0, 178344, 26555040]$	$y^2=x^3-x^2+178344x+26555040$	2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 28.12.0-4.c.1.2, 140.24.0.?, $\ldots$	$[(509, 15778)]$
270480.f1	270480f1	270480.f	270480f	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{4} \cdot 3^{17} \cdot 5^{7} \cdot 7^{2} \cdot 23^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$690$	$2$	$0$	$37.91093292$	$1$		$0$	$22619520$	$3.051491$	$139291573340166716336896/64936748761242890625$	$1.03444$	$4.79337$	$[0, -1, 0, -9958006, -5329730069]$	$y^2=x^3-x^2-9958006x-5329730069$	690.2.0.?	$[(-17875878100413803/2857947, 1804606858744105157669143/2857947)]$
270480.g1	270480g1	270480.g	270480g	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{4} \cdot 3 \cdot 5^{5} \cdot 7^{4} \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$690$	$2$	$0$	$1$	$1$		$0$	$149760$	$0.592661$	$373698304/215625$	$0.92784$	$2.42207$	$[0, -1, 0, -506, -69]$	$y^2=x^3-x^2-506x-69$	690.2.0.?	$[]$
270480.h1	270480h1	270480.h	270480h	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{4} \cdot 3^{7} \cdot 5^{7} \cdot 7^{8} \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$690$	$2$	$0$	$1$	$1$		$0$	$2897664$	$2.113518$	$50494475148544/3929765625$	$0.90925$	$3.98888$	$[0, -1, 0, -347916, -73368945]$	$y^2=x^3-x^2-347916x-73368945$	690.2.0.?	$[]$
270480.i1	270480i1	270480.i	270480i	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{4} \cdot 3 \cdot 5^{13} \cdot 7^{2} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$690$	$2$	$0$	$9.027507988$	$1$		$0$	$1931904$	$1.709555$	$1315840197052976896/84228515625$	$0.97126$	$3.86837$	$[0, -1, 0, -210506, 37242675]$	$y^2=x^3-x^2-210506x+37242675$	690.2.0.?	$[(841/5, 686911/5)]$
270480.j1	270480j1	270480.j	270480j	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{28} \cdot 3^{6} \cdot 5^{2} \cdot 7^{9} \cdot 23 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3220$	$12$	$0$	$4.993716444$	$1$		$13$	$31850496$	$3.226513$	$188191720927962271801/9422571110400$	$0.98519$	$5.33079$	$[0, -1, 0, -93599816, 348562527216]$	$y^2=x^3-x^2-93599816x+348562527216$	2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.?	$[(5626, 3430), (5066, 66150)]$
270480.j2	270480j2	270480.j	270480j	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{20} \cdot 3^{12} \cdot 5 \cdot 7^{12} \cdot 23^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3220$	$12$	$0$	$19.97486577$	$1$		$7$	$63700992$	$3.573086$	$-159520003524722950201/42335913815758080$	$0.98860$	$5.34775$	$[0, -1, 0, -88582216, 387587412976]$	$y^2=x^3-x^2-88582216x+387587412976$	2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.?	$[(-8710, 705894), (7114, 342630)]$
270480.k1	270480k1	270480.k	270480k	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{8} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$230$	$2$	$0$	$0.677833834$	$1$		$2$	$154368$	$0.583679$	$-569906176/547515$	$0.81897$	$2.44455$	$[0, -1, 0, -401, 5181]$	$y^2=x^3-x^2-401x+5181$	230.2.0.?	$[(20, 69)]$
270480.l1	270480l2	270480.l	270480l	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{13} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 23 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2760$	$12$	$0$	$3.150522570$	$1$		$17$	$1990656$	$1.752451$	$1577505447721/838350$	$0.93804$	$3.84396$	$[0, -1, 0, -190136, -31833360]$	$y^2=x^3-x^2-190136x-31833360$	2.3.0.a.1, 60.6.0.c.1, 184.6.0.?, 2760.12.0.?	$[(-254, 98), (-252, 120)]$
270480.l2	270480l1	270480.l	270480l	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{14} \cdot 3^{3} \cdot 5 \cdot 7^{6} \cdot 23^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2760$	$12$	$0$	$12.60209028$	$1$		$9$	$995328$	$1.405878$	$-217081801/285660$	$0.88133$	$3.22795$	$[0, -1, 0, -9816, -674064]$	$y^2=x^3-x^2-9816x-674064$	2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.?	$[(173, 1666), (268, 3984)]$
270480.m1	270480m1	270480.m	270480m	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{42} \cdot 3 \cdot 5^{3} \cdot 7^{3} \cdot 23^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$9.526981145$	$1$		$1$	$46448640$	$3.486366$	$1138419279070642590770503/112678869663744000$	$1.03209$	$5.56024$	$[0, -1, 0, -243637536, 1463697620736]$	$y^2=x^3-x^2-243637536x+1463697620736$	2.3.0.a.1, 56.6.0.c.1, 120.6.0.?, 210.6.0.?, 840.12.0.?	$[(41170/3, 18009082/3)]$
270480.m2	270480m2	270480.m	270480m	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{27} \cdot 3^{2} \cdot 5^{6} \cdot 7^{3} \cdot 23^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$840$	$12$	$0$	$4.763490572$	$1$		$3$	$92897280$	$3.832939$	$-900079102684529025934663/360857020174848000000$	$1.03622$	$5.58354$	$[0, -1, 0, -225287456, 1693455302400]$	$y^2=x^3-x^2-225287456x+1693455302400$	2.3.0.a.1, 56.6.0.b.1, 120.6.0.?, 420.6.0.?, 840.12.0.?	$[(1776, 1139712)]$
270480.n1	270480n1	270480.n	270480n	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{11} \cdot 3^{5} \cdot 5 \cdot 7^{2} \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2760$	$2$	$0$	$1$	$1$		$0$	$864000$	$1.337006$	$78518201393282/14782905$	$0.92285$	$3.47865$	$[0, -1, 0, -41456, 3262176]$	$y^2=x^3-x^2-41456x+3262176$	2760.2.0.?	$[]$
270480.o1	270480o1	270480.o	270480o	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{12} \cdot 3^{4} \cdot 5 \cdot 7^{6} \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$230$	$2$	$0$	$1$	$1$		$0$	$1267200$	$1.635260$	$2887553024/4927635$	$0.92737$	$3.39337$	$[0, -1, 0, 23259, -1913715]$	$y^2=x^3-x^2+23259x-1913715$	230.2.0.?	$[]$
270480.p1	270480p2	270480.p	270480p	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{17} \cdot 3^{2} \cdot 5^{2} \cdot 7^{16} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$		$1$	$14745600$	$2.979877$	$85486955243540761/46777901234400$	$0.98660$	$4.71543$	$[0, -1, 0, -7195176, 1735835760]$	$y^2=x^3-x^2-7195176x+1735835760$	2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.?	$[]$
270480.p2	270480p1	270480.p	270480p	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{22} \cdot 3 \cdot 5 \cdot 7^{11} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$4$	$2$	$1$	$7372800$	$2.633305$	$18374873741826841/136564270080$	$0.94369$	$4.59252$	$[0, -1, 0, -4310056, -3420450704]$	$y^2=x^3-x^2-4310056x-3420450704$	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[]$
270480.q1	270480q2	270480.q	270480q	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{17} \cdot 3^{9} \cdot 5^{16} \cdot 7^{6} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$552$	$12$	$0$	$1$	$9$	$3$	$1$	$298598400$	$4.251419$	$3529773792266261468365081/50841342773437500000$	$1.05401$	$6.11743$	$[0, -1, 0, -2486893096, -47136040329104]$	$y^2=x^3-x^2-2486893096x-47136040329104$	2.3.0.a.1, 24.6.0.a.1, 92.6.0.?, 552.12.0.?	$[]$
270480.q2	270480q1	270480.q	270480q	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{22} \cdot 3^{18} \cdot 5^{8} \cdot 7^{6} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$552$	$12$	$0$	$1$	$9$	$3$	$1$	$149299200$	$3.904846$	$-1306902141891515161/3564268498800000000$	$1.10202$	$5.60968$	$[0, -1, 0, -17857576, -1994170109840]$	$y^2=x^3-x^2-17857576x-1994170109840$	2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.?	$[]$
270480.r1	270480r1	270480.r	270480r	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{4} \cdot 3^{21} \cdot 5^{3} \cdot 7^{2} \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$690$	$2$	$0$	$1$	$1$		$0$	$9918720$	$2.707565$	$2576406358941433989918976/30073515458625$	$1.02568$	$5.02663$	$[0, -1, 0, -26335136, 52026516711]$	$y^2=x^3-x^2-26335136x+52026516711$	690.2.0.?	$[]$
270480.s1	270480s1	270480.s	270480s	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 7^{3} \cdot 23 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$966$	$2$	$0$	$3.281911834$	$1$		$6$	$350208$	$1.002796$	$-31400240128/9703125$	$0.87066$	$2.87664$	$[0, -1, 0, -2921, 76245]$	$y^2=x^3-x^2-2921x+76245$	966.2.0.?	$[(28, 125), (237/2, 2625/2)]$
270480.t1	270480t1	270480.t	270480t	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{4} \cdot 3^{9} \cdot 5 \cdot 7^{10} \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$690$	$2$	$0$	$1$	$1$		$0$	$1983744$	$1.946960$	$858234501376/2263545$	$0.89163$	$3.97426$	$[0, -1, 0, -327336, 72028755]$	$y^2=x^3-x^2-327336x+72028755$	690.2.0.?	$[]$
270480.u1	270480u1	270480.u	270480u	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{11} \cdot 3 \cdot 5^{6} \cdot 7^{4} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$552$	$2$	$0$	$1.728281850$	$1$		$4$	$488448$	$1.202152$	$-21274016498/1078125$	$0.87549$	$3.13984$	$[0, -1, 0, -9816, -387120]$	$y^2=x^3-x^2-9816x-387120$	552.2.0.?	$[(173, 1750)]$
270480.v1	270480v1	270480.v	270480v	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{8} \cdot 3^{5} \cdot 5 \cdot 7^{9} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1$	$1$		$1$	$2580480$	$1.814600$	$22659965872/642735$	$0.84137$	$3.74979$	$[0, -1, 0, -128396, 17311680]$	$y^2=x^3-x^2-128396x+17311680$	2.3.0.a.1, 210.6.0.?, 644.6.0.?, 1380.6.0.?, 9660.12.0.?	$[]$
270480.v2	270480v2	270480.v	270480v	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 7^{9} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1$	$1$		$1$	$5160960$	$2.161175$	$67898372/33953175$	$0.94533$	$3.93659$	$[0, -1, 0, 29384, 56946016]$	$y^2=x^3-x^2+29384x+56946016$	2.3.0.a.1, 420.6.0.?, 644.6.0.?, 1380.6.0.?, 9660.12.0.?	$[]$
270480.w1	270480w2	270480.w	270480w	$2$	$3$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{8} \cdot 3^{4} \cdot 5^{9} \cdot 7^{4} \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$1380$	$16$	$0$	$1$	$1$		$0$	$13996800$	$2.685524$	$-4651506434740759035904/3638671875$	$1.08135$	$5.05441$	$[0, -1, 0, -29568821, 61896813945]$	$y^2=x^3-x^2-29568821x+61896813945$	3.4.0.a.1, 12.8.0-3.a.1.2, 230.2.0.?, 690.8.0.?, 1380.16.0.?	$[]$
270480.w2	270480w1	270480.w	270480w	$2$	$3$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{8} \cdot 3^{12} \cdot 5^{3} \cdot 7^{4} \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$1380$	$16$	$0$	$1$	$1$		$0$	$4665600$	$2.136219$	$-8185177630572544/808255330875$	$1.04184$	$4.00765$	$[0, -1, 0, -356981, 88942281]$	$y^2=x^3-x^2-356981x+88942281$	3.4.0.a.1, 12.8.0-3.a.1.1, 230.2.0.?, 690.8.0.?, 1380.16.0.?	$[]$
270480.x1	270480x3	270480.x	270480x	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{13} \cdot 3 \cdot 5 \cdot 7^{8} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$19320$	$48$	$0$	$4.276040123$	$1$		$3$	$14155776$	$2.928516$	$648418741232906810881/33810$	$0.98976$	$5.42969$	$[0, -1, 0, -141370896, 647023064640]$	$y^2=x^3-x^2-141370896x+647023064640$	2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 120.12.0.?, 184.12.0.?, $\ldots$	$[(6890, 3590)]$
270480.x2	270480x4	270480.x	270480x	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{13} \cdot 3^{4} \cdot 5^{4} \cdot 7^{14} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$19320$	$48$	$0$	$4.276040123$	$1$		$3$	$14155776$	$2.928516$	$168197522113656001/13424780328750$	$0.95664$	$4.76954$	$[0, -1, 0, -9016016, 9677841216]$	$y^2=x^3-x^2-9016016x+9677841216$	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 120.12.0.?, 184.12.0.?, $\ldots$	$[(2186, 20250)]$
270480.x3	270480x2	270480.x	270480x	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{14} \cdot 3^{2} \cdot 5^{2} \cdot 7^{10} \cdot 23^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$19320$	$48$	$0$	$2.138020061$	$1$		$9$	$7077888$	$2.581940$	$158306179791523681/1143116100$	$0.95463$	$4.76469$	$[0, -1, 0, -8835696, 10111907520]$	$y^2=x^3-x^2-8835696x+10111907520$	2.6.0.a.1, 28.12.0-2.a.1.1, 60.12.0.b.1, 184.12.0.?, 420.24.0.?, $\ldots$	$[(1818, 7350)]$
270480.x4	270480x1	270480.x	270480x	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{16} \cdot 3 \cdot 5 \cdot 7^{8} \cdot 23^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$19320$	$48$	$0$	$4.276040123$	$1$		$3$	$3538944$	$2.235367$	$-36333758230561/3290930160$	$0.90728$	$4.10638$	$[0, -1, 0, -540976, 164879296]$	$y^2=x^3-x^2-540976x+164879296$	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 30.6.0.a.1, 60.12.0.g.1, $\ldots$	$[(369, 3920)]$
270480.y1	270480y4	270480.y	270480y	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{10} \cdot 3 \cdot 5^{3} \cdot 7^{9} \cdot 23^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$1$	$1$		$1$	$53084160$	$3.477089$	$2466780454987534385284/10072750481768625$	$0.98965$	$5.42568$	$[0, -1, 0, -139026736, -628674667760]$	$y^2=x^3-x^2-139026736x-628674667760$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.ba.1, 56.12.0-4.c.1.5, $\ldots$	$[]$
270480.y2	270480y2	270480.y	270480y	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 7^{12} \cdot 23^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$420$	$48$	$0$	$1$	$1$		$3$	$26542080$	$3.130516$	$8019382352783901136/4629798816890625$	$1.03374$	$4.85683$	$[0, -1, 0, -12974236, 881938240]$	$y^2=x^3-x^2-12974236x+881938240$	2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.a.1, 28.12.0-2.a.1.1, 60.24.0-20.a.1.3, $\ldots$	$[]$
270480.y3	270480y1	270480.y	270480y	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{4} \cdot 3 \cdot 5^{12} \cdot 7^{9} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$1$	$1$		$1$	$13271040$	$2.783943$	$44949507773962418176/132895751953125$	$1.06086$	$4.77297$	$[0, -1, 0, -9146111, 10622219490]$	$y^2=x^3-x^2-9146111x+10622219490$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 28.12.0-4.c.1.1, 40.12.0.ba.1, $\ldots$	$[]$
270480.y4	270480y3	270480.y	270480y	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{10} \cdot 3^{4} \cdot 5^{3} \cdot 7^{18} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$1$	$1$		$1$	$53084160$	$3.477089$	$127801365439147434716/74135664409456125$	$1.04719$	$5.18901$	$[0, -1, 0, 51828264, 6999294240]$	$y^2=x^3-x^2+51828264x+6999294240$	2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 24.12.0-4.c.1.3, 28.12.0-4.c.1.2, $\ldots$	$[]$
270480.z1	270480z1	270480.z	270480z	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{4} \cdot 3^{6} \cdot 5 \cdot 7^{9} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1$	$1$		$1$	$645120$	$1.328945$	$174456832/83835$	$0.90193$	$3.13904$	$[0, -1, 0, -10061, -156624]$	$y^2=x^3-x^2-10061x-156624$	2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 1610.6.0.?, 9660.12.0.?	$[]$
270480.z2	270480z2	270480.z	270480z	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{9} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1$	$1$		$1$	$1290240$	$1.675518$	$509680208/357075$	$0.82676$	$3.44642$	$[0, -1, 0, 36244, -1230900]$	$y^2=x^3-x^2+36244x-1230900$	2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 3220.6.0.?, 9660.12.0.?	$[]$
270480.ba1	270480ba1	270480.ba	270480ba	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ 2^{22} \cdot 3^{7} \cdot 5 \cdot 7^{8} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$19320$	$12$	$0$	$15.51475786$	$1$		$1$	$7741440$	$2.532677$	$15238420194810961/12619514880$	$0.94254$	$4.57755$	$[0, -1, 0, -4049376, -3132797184]$	$y^2=x^3-x^2-4049376x-3132797184$	2.3.0.a.1, 56.6.0.c.1, 690.6.0.?, 19320.12.0.?	$[(118554896/67, 1286973111040/67)]$
270480.ba2	270480ba2	270480.ba	270480ba	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{17} \cdot 3^{14} \cdot 5^{2} \cdot 7^{7} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$19320$	$12$	$0$	$7.757378934$	$1$		$3$	$15482880$	$2.879250$	$-7319577278195281/14169067365600$	$0.95815$	$4.63638$	$[0, -1, 0, -3171296, -4529998080]$	$y^2=x^3-x^2-3171296x-4529998080$	2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.?	$[(105520, 34271840)]$

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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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