LMFDB - Elliptic curves over $\Q$ of conductor 53130

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Isogeny class degree	Cyclic isogeny degree	Isogeny class size	Integral points

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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
53130.a1	53130c2	53130.a	53130c	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$212520$	$12$	$0$	$1.532973919$	$1$		$4$	$30720$	$0.373123$	$62897590993609/18329850$	$0.85050$	$2.92014$	$[1, 1, 0, -828, -9522]$	$y^2+xy=x^3+x^2-828x-9522$	2.3.0.a.1, 616.6.0.?, 1380.6.0.?, 212520.12.0.?	$[(-17, 7)]$
53130.a2	53130c1	53130.a	53130c	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ 2^{2} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$212520$	$12$	$0$	$0.766486959$	$1$		$7$	$15360$	$0.026550$	$22164361129/8182020$	$0.90737$	$2.18940$	$[1, 1, 0, -58, -128]$	$y^2+xy=x^3+x^2-58x-128$	2.3.0.a.1, 616.6.0.?, 690.6.0.?, 212520.12.0.?	$[(-3, 7)]$
53130.b1	53130b1	53130.b	53130b	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ - 2^{38} \cdot 3^{11} \cdot 5 \cdot 7^{3} \cdot 11^{3} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$106260$	$2$	$0$	$22.90646852$	$1$		$0$	$13844160$	$3.369072$	$1851352314787299899532057911/2556487378990533244354560$	$1.00458$	$5.80049$	$[1, 1, 0, 25581252, 58642887888]$	$y^2+xy=x^3+x^2+25581252x+58642887888$	106260.2.0.?	$[(5457445548952/17231, 13234395452623734284/17231)]$
53130.c1	53130a2	53130.c	53130a	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ 2^{11} \cdot 3^{4} \cdot 5^{4} \cdot 7^{2} \cdot 11^{2} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$1288$	$12$	$0$	$2.610435397$	$1$		$4$	$2297856$	$2.607723$	$3106332678537492823015958089/14138530560000$	$1.04117$	$5.81805$	$[1, 1, 0, -30397748, 64494838608]$	$y^2+xy=x^3+x^2-30397748x+64494838608$	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(3239, 3893)]$
53130.c2	53130a1	53130.c	53130a	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ - 2^{22} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{4} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1.305217698$	$1$		$7$	$1148928$	$2.261150$	$-758345163989747524609609/51164280992563200$	$0.96973$	$5.05359$	$[1, 1, 0, -1899828, 1007172432]$	$y^2+xy=x^3+x^2-1899828x+1007172432$	2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.?	$[(456, 15132)]$
53130.d1	53130e4	53130.d	53130e	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ 2^{2} \cdot 3 \cdot 5 \cdot 7^{4} \cdot 11^{4} \cdot 23 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$212520$	$48$	$0$	$1.273103555$	$1$		$14$	$90112$	$0.967699$	$46349134440566329/48511196580$	$0.89538$	$3.52695$	$[1, 1, 0, -7483, 245833]$	$y^2+xy=x^3+x^2-7483x+245833$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 460.12.0.?, 616.12.0.?, $\ldots$	$[(48, -35), (81, 383)]$
53130.d2	53130e3	53130.d	53130e	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ 2^{2} \cdot 3 \cdot 5^{4} \cdot 7 \cdot 11 \cdot 23^{4} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$212520$	$48$	$0$	$5.092414220$	$1$		$10$	$90112$	$0.967699$	$15581727508423609/161608177500$	$0.88896$	$3.42676$	$[1, 1, 0, -5203, -145343]$	$y^2+xy=x^3+x^2-5203x-145343$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 308.12.0.?, 920.12.0.?, $\ldots$	$[(-39, 7), (-43, 56)]$
53130.d3	53130e2	53130.d	53130e	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \cdot 23^{2} $	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.6.0.1	2Cs	$106260$	$48$	$0$	$1.273103555$	$1$		$30$	$45056$	$0.621125$	$21973174804729/11291187600$	$0.86814$	$2.82348$	$[1, 1, 0, -583, 1573]$	$y^2+xy=x^3+x^2-583x+1573$	2.6.0.a.1, 12.12.0-2.a.1.1, 308.12.0.?, 460.12.0.?, 924.24.0.?, $\ldots$	$[(-6, 73), (1, 31)]$
53130.d4	53130e1	53130.d	53130e	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ - 2^{8} \cdot 3^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$212520$	$48$	$0$	$5.092414220$	$1$		$9$	$22528$	$0.274551$	$281140102151/183617280$	$0.83219$	$2.42288$	$[1, 1, 0, 137, 277]$	$y^2+xy=x^3+x^2+137x+277$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 308.12.0.?, 460.12.0.?, $\ldots$	$[(7, 37), (79, 676)]$
53130.e1	53130d2	53130.e	53130d	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ 2 \cdot 3^{4} \cdot 5^{4} \cdot 7^{10} \cdot 11^{2} \cdot 23^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1$	$4$	$2$	$0$	$4362240$	$2.799919$	$421855440489788824984301929/42106031439084978750$	$0.98931$	$5.63455$	$[1, 1, 0, -15624758, -23776589538]$	$y^2+xy=x^3+x^2-15624758x-23776589538$	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[]$
53130.e2	53130d1	53130.e	53130d	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ - 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{5} \cdot 11^{4} \cdot 23^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1$	$1$		$1$	$2181120$	$2.453346$	$-81346237678730525904649/32784643555577228700$	$0.96690$	$4.89698$	$[1, 1, 0, -902688, -430330932]$	$y^2+xy=x^3+x^2-902688x-430330932$	2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.?	$[]$
53130.f1	53130f1	53130.f	53130f	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{4} \cdot 11^{2} \cdot 23^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$15180$	$12$	$0$	$0.612002763$	$1$		$7$	$104448$	$0.997755$	$3242383443964729/848344561680$	$0.88530$	$3.28249$	$[1, 1, 0, -3083, -50067]$	$y^2+xy=x^3+x^2-3083x-50067$	2.3.0.a.1, 44.6.0.c.1, 690.6.0.?, 15180.12.0.?	$[(-29, 141)]$
53130.f2	53130f2	53130.f	53130f	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ - 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \cdot 23^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$15180$	$12$	$0$	$0.306001381$	$1$		$12$	$208896$	$1.344328$	$50419670890489991/71812209753900$	$0.91281$	$3.56954$	$[1, 1, 0, 7697, -310943]$	$y^2+xy=x^3+x^2+7697x-310943$	2.3.0.a.1, 22.6.0.a.1, 1380.6.0.?, 15180.12.0.?	$[(52, 457)]$
53130.g1	53130g1	53130.g	53130g	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ - 2^{4} \cdot 3^{5} \cdot 5^{6} \cdot 7 \cdot 11 \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$21252$	$2$	$0$	$1$	$1$		$0$	$103680$	$0.942638$	$-12761884520061769/107588250000$	$0.88772$	$3.40974$	$[1, 1, 0, -4868, -133728]$	$y^2+xy=x^3+x^2-4868x-133728$	21252.2.0.?	$[]$
53130.h1	53130h1	53130.h	53130h	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ 2^{2} \cdot 3^{3} \cdot 5^{7} \cdot 7^{14} \cdot 11^{4} \cdot 23^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$		$1$	$33868800$	$3.922108$	$11354224670262535781399662607689/1019390529976200592619062500$	$1.01594$	$6.57205$	$[1, 1, 0, -468250148, 3584540196252]$	$y^2+xy=x^3+x^2-468250148x+3584540196252$	2.3.0.a.1, 56.6.0.c.1, 690.6.0.?, 19320.12.0.?	$[]$
53130.h2	53130h2	53130.h	53130h	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ - 2 \cdot 3^{6} \cdot 5^{14} \cdot 7^{7} \cdot 11^{2} \cdot 23^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$		$0$	$67737600$	$4.268684$	$16300835816496943562017955390231/131273254164601244421386718750$	$1.03402$	$6.84043$	$[1, 1, 0, 528236882, 16794171563338]$	$y^2+xy=x^3+x^2+528236882x+16794171563338$	2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.?	$[]$
53130.i1	53130i1	53130.i	53130i	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ - 2^{5} \cdot 3^{9} \cdot 5 \cdot 7^{2} \cdot 11 \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$30360$	$2$	$0$	$1$	$1$		$0$	$181440$	$1.234198$	$-102037418278489/20653019180640$	$0.93673$	$3.50319$	$[1, 1, 0, -973, 218557]$	$y^2+xy=x^3+x^2-973x+218557$	30360.2.0.?	$[]$
53130.j1	53130j1	53130.j	53130j	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ 2^{4} \cdot 3^{3} \cdot 5^{11} \cdot 7^{12} \cdot 11^{2} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$15180$	$12$	$0$	$1$	$1$		$1$	$25344000$	$3.687576$	$27651663563526365415678286540489/812537626226828906250000$	$1.01665$	$6.65385$	$[1, 1, 0, -629988348, -6086317362048]$	$y^2+xy=x^3+x^2-629988348x-6086317362048$	2.3.0.a.1, 44.6.0.c.1, 690.6.0.?, 15180.12.0.?	$[]$
53130.j2	53130j2	53130.j	53130j	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ - 2^{2} \cdot 3^{6} \cdot 5^{22} \cdot 7^{6} \cdot 11 \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$15180$	$12$	$0$	$1$	$1$		$0$	$50688000$	$4.034149$	$-24381601518390837785713085858569/4759531575193405151367187500$	$1.01839$	$6.66900$	$[1, 1, 0, -604105568, -6609247872612]$	$y^2+xy=x^3+x^2-604105568x-6609247872612$	2.3.0.a.1, 22.6.0.a.1, 1380.6.0.?, 15180.12.0.?	$[]$
53130.k1	53130k1	53130.k	53130k	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ - 2^{21} \cdot 3^{7} \cdot 5 \cdot 7^{2} \cdot 11^{3} \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$30360$	$2$	$0$	$1$	$1$		$0$	$705600$	$1.853243$	$1377676163129481431/34399384177213440$	$0.95741$	$4.18254$	$[1, 1, 0, 23182, 8829108]$	$y^2+xy=x^3+x^2+23182x+8829108$	30360.2.0.?	$[]$
53130.l1	53130n4	53130.l	53130n	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ 2^{3} \cdot 3^{3} \cdot 5^{8} \cdot 7 \cdot 11^{4} \cdot 23 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$42504$	$48$	$0$	$7.104189645$	$1$		$10$	$442368$	$1.726046$	$723735009058769762041/198888834375000$	$0.94352$	$4.41441$	$[1, 1, 0, -187047, -31207491]$	$y^2+xy=x^3+x^2-187047x-31207491$	2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.1, 88.12.0.?, 276.12.0.?, $\ldots$	$[(-247, 136), (-251, 43)]$
53130.l2	53130n3	53130.l	53130n	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ 2^{3} \cdot 3^{12} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 23^{4} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$42504$	$48$	$0$	$7.104189645$	$1$		$8$	$442368$	$1.726046$	$81072599558658172921/2290272305567400$	$0.93446$	$4.21322$	$[1, 1, 0, -90167, 10126221]$	$y^2+xy=x^3+x^2-90167x+10126221$	2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.1, 56.12.0-4.c.1.2, 552.12.0.?, $\ldots$	$[(327, 3804), (1835, 76721)]$
53130.l3	53130n2	53130.l	53130n	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ 2^{6} \cdot 3^{6} \cdot 5^{4} \cdot 7^{2} \cdot 11^{2} \cdot 23^{2} $	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.6.0.1	2Cs	$42504$	$48$	$0$	$1.776047411$	$1$		$30$	$221184$	$1.379473$	$252485100339244921/91458619560000$	$0.91525$	$3.68275$	$[1, 1, 0, -13167, -361179]$	$y^2+xy=x^3+x^2-13167x-361179$	2.6.0.a.1, 44.12.0-2.a.1.1, 56.12.0-2.a.1.1, 276.12.0.?, 616.24.0.?, $\ldots$	$[(-63, 504), (-90, 369)]$
53130.l4	53130n1	53130.l	53130n	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ - 2^{12} \cdot 3^{3} \cdot 5^{2} \cdot 7^{4} \cdot 11 \cdot 23 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$42504$	$48$	$0$	$7.104189645$	$1$		$9$	$110592$	$1.032900$	$1754006183281799/1679486054400$	$0.89191$	$3.22602$	$[1, 1, 0, 2513, -38171]$	$y^2+xy=x^3+x^2+2513x-38171$	2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.2, 56.12.0-4.c.1.4, 276.12.0.?, $\ldots$	$[(63, 581), (455, 9548)]$
53130.m1	53130m4	53130.m	53130m	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ 2 \cdot 3^{5} \cdot 5^{2} \cdot 7 \cdot 11^{4} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$42504$	$48$	$0$	$1$	$16$	$2$	$0$	$1146880$	$2.296982$	$125581791038790971715422761/28639992150$	$0.98582$	$5.52319$	$[1, 1, 0, -10432802, -12974634234]$	$y^2+xy=x^3+x^2-10432802x-12974634234$	2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.1, 88.12.0.?, 276.12.0.?, $\ldots$	$[]$
53130.m2	53130m3	53130.m	53130m	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ 2 \cdot 3^{20} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 23^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$42504$	$48$	$0$	$1$	$4$	$2$	$0$	$1146880$	$2.296982$	$33456349027422149126761/3756619149206927850$	$0.96058$	$4.76674$	$[1, 1, 0, -671302, -190337534]$	$y^2+xy=x^3+x^2-671302x-190337534$	2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.1, 56.12.0-4.c.1.2, 552.12.0.?, $\ldots$	$[]$
53130.m3	53130m2	53130.m	53130m	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ 2^{2} \cdot 3^{10} \cdot 5^{4} \cdot 7^{2} \cdot 11^{2} \cdot 23^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.6.0.1	2Cs	$42504$	$48$	$0$	$1$	$1$		$2$	$573440$	$1.950411$	$30659950320867474674761/463009261522500$	$0.95834$	$4.75872$	$[1, 1, 0, -652052, -202930884]$	$y^2+xy=x^3+x^2-652052x-202930884$	2.6.0.a.1, 44.12.0-2.a.1.1, 56.12.0-2.a.1.1, 276.12.0.?, 616.24.0.?, $\ldots$	$[]$
53130.m4	53130m1	53130.m	53130m	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ - 2^{4} \cdot 3^{5} \cdot 5^{8} \cdot 7^{4} \cdot 11 \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$42504$	$48$	$0$	$1$	$1$		$1$	$286720$	$1.603836$	$-6842994895178474761/922569243750000$	$0.92472$	$4.00526$	$[1, 1, 0, -39552, -3378384]$	$y^2+xy=x^3+x^2-39552x-3378384$	2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.2, 56.12.0-4.c.1.4, 276.12.0.?, $\ldots$	$[]$
53130.n1	53130l2	53130.n	53130l	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ 2^{5} \cdot 3^{10} \cdot 5 \cdot 7 \cdot 11^{2} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$212520$	$12$	$0$	$1$	$1$		$0$	$128000$	$1.122841$	$11427266093672521/4233227533920$	$0.89784$	$3.39826$	$[1, 1, 0, -4692, -76176]$	$y^2+xy=x^3+x^2-4692x-76176$	2.3.0.a.1, 280.6.0.?, 3036.6.0.?, 212520.12.0.?	$[]$
53130.n2	53130l1	53130.n	53130l	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ - 2^{10} \cdot 3^{5} \cdot 5^{2} \cdot 7^{2} \cdot 11 \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$212520$	$12$	$0$	$1$	$1$		$1$	$64000$	$0.776267$	$82648257725879/77119257600$	$0.87101$	$2.94523$	$[1, 1, 0, 908, -7856]$	$y^2+xy=x^3+x^2+908x-7856$	2.3.0.a.1, 280.6.0.?, 1518.6.0.?, 212520.12.0.?	$[]$
53130.o1	53130o4	53130.o	53130o	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ 2^{4} \cdot 3^{20} \cdot 5^{3} \cdot 7^{4} \cdot 11 \cdot 23^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$30360$	$48$	$0$	$1.870172128$	$1$		$4$	$15728640$	$3.476955$	$2489835291441984794384387193961/51540814727119050102000$	$1.01134$	$6.43259$	$[1, 1, 0, -282368102, 1826147359716]$	$y^2+xy=x^3+x^2-282368102x+1826147359716$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 44.12.0-4.c.1.1, 220.24.0.?, $\ldots$	$[(9867, 22839)]$
53130.o2	53130o3	53130.o	53130o	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ 2^{4} \cdot 3^{5} \cdot 5^{3} \cdot 7^{16} \cdot 11^{4} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$30360$	$48$	$0$	$1.870172128$	$1$		$4$	$15728640$	$3.476955$	$45084144943001919556400313961/5438804975056386677898000$	$1.00354$	$6.06391$	$[1, 1, 0, -74148102, -218673364284]$	$y^2+xy=x^3+x^2-74148102x-218673364284$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 88.12.0.?, 276.12.0.?, $\ldots$	$[(-4783, 165439)]$
53130.o3	53130o2	53130.o	53130o	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ 2^{8} \cdot 3^{10} \cdot 5^{6} \cdot 7^{8} \cdot 11^{2} \cdot 23^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.6.0.1	2Cs	$15180$	$48$	$0$	$0.935086064$	$1$		$12$	$7864320$	$3.130379$	$673117119492798278553753961/87156122574176964000000$	$0.99264$	$5.67749$	$[1, 1, 0, -18258102, 26448997716]$	$y^2+xy=x^3+x^2-18258102x+26448997716$	2.6.0.a.1, 20.12.0-2.a.1.1, 44.12.0-2.a.1.1, 220.24.0.?, 276.12.0.?, $\ldots$	$[(3707, 96759)]$
53130.o4	53130o1	53130.o	53130o	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ - 2^{16} \cdot 3^{5} \cdot 5^{12} \cdot 7^{4} \cdot 11 \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$30360$	$48$	$0$	$1.870172128$	$1$		$5$	$3932160$	$2.783806$	$584509378849135526246039/2361777264000000000000$	$0.98761$	$5.19405$	$[1, 1, 0, 1741898, 2164997716]$	$y^2+xy=x^3+x^2+1741898x+2164997716$	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 44.12.0-4.c.1.2, 276.12.0.?, $\ldots$	$[(-243, 41684)]$
53130.p1	53130r2	53130.p	53130r	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ 2 \cdot 3^{8} \cdot 5^{8} \cdot 7^{2} \cdot 11^{2} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$1288$	$12$	$0$	$0.545575898$	$1$		$8$	$311296$	$1.538208$	$1226833350167030761/698987411718750$	$0.95738$	$3.82804$	$[1, 1, 0, -22302, 150174]$	$y^2+xy=x^3+x^2-22302x+150174$	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(-37, 981)]$
53130.p2	53130r1	53130.p	53130r	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ - 2^{2} \cdot 3^{4} \cdot 5^{4} \cdot 7 \cdot 11^{4} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$1288$	$12$	$0$	$0.272787949$	$1$		$13$	$155648$	$1.191633$	$18676911257456759/10978663657500$	$0.93641$	$3.44341$	$[1, 1, 0, 5528, 22156]$	$y^2+xy=x^3+x^2+5528x+22156$	2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.?	$[(7, 244)]$
53130.q1	53130q1	53130.q	53130q	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ - 2^{8} \cdot 3 \cdot 5^{10} \cdot 7^{3} \cdot 11^{5} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$21252$	$2$	$0$	$0.062973291$	$1$		$10$	$2726400$	$2.715538$	$-200883330249962433079106521/9528985042500000000$	$0.98718$	$5.56637$	$[1, 1, 0, -12201317, 16399907469]$	$y^2+xy=x^3+x^2-12201317x+16399907469$	21252.2.0.?	$[(1978, 2091)]$
53130.r1	53130p2	53130.r	53130p	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ 2^{5} \cdot 3^{18} \cdot 5^{3} \cdot 7^{3} \cdot 11^{2} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$212520$	$12$	$0$	$1$	$1$		$0$	$2488320$	$2.676659$	$41512379523136819701276601/34023402166310172000$	$0.98254$	$5.42145$	$[1, 1, 0, -7213587, -7454910771]$	$y^2+xy=x^3+x^2-7213587x-7454910771$	2.3.0.a.1, 280.6.0.?, 3036.6.0.?, 212520.12.0.?	$[]$
53130.r2	53130p1	53130.r	53130p	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ - 2^{10} \cdot 3^{9} \cdot 5^{6} \cdot 7^{6} \cdot 11 \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$212520$	$12$	$0$	$1$	$1$		$1$	$1244160$	$2.330086$	$-4888937657521817436601/9373893960816000000$	$0.96569$	$4.72432$	$[1, 1, 0, -353587, -168218771]$	$y^2+xy=x^3+x^2-353587x-168218771$	2.3.0.a.1, 280.6.0.?, 1518.6.0.?, 212520.12.0.?	$[]$
53130.s1	53130t4	53130.s	53130t	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ 2^{5} \cdot 3^{3} \cdot 5^{12} \cdot 7^{4} \cdot 11^{2} \cdot 23^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.8	2B	$2760$	$48$	$0$	$1.963846119$	$1$		$4$	$23592960$	$3.724934$	$265436898662503851515370589836169/17149152760523437500000$	$1.02138$	$6.86172$	$[1, 0, 1, -1338892969, 18856640041292]$	$y^2+xy+y=x^3-1338892969x+18856640041292$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0-4.c.1.1, 24.24.0-24.s.1.4, $\ldots$	$[(20158, 231662)]$
53130.s2	53130t2	53130.s	53130t	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ 2^{10} \cdot 3^{6} \cdot 5^{6} \cdot 7^{8} \cdot 11^{4} \cdot 23^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.1	2Cs	$2760$	$48$	$0$	$3.927692238$	$1$		$8$	$11796480$	$3.378361$	$65179715853307296723232286089/520784732418538896000000$	$1.00279$	$6.09779$	$[1, 0, 1, -83842249, 293435851916]$	$y^2+xy+y=x^3-83842249x+293435851916$	2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.b.1.2, 460.12.0.?, $\ldots$	$[(5659, 11522)]$
53130.s3	53130t3	53130.s	53130t	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ - 2^{5} \cdot 3^{12} \cdot 5^{3} \cdot 7^{16} \cdot 11^{2} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.7	2B	$2760$	$48$	$0$	$7.855384476$	$1$		$2$	$23592960$	$3.724934$	$-2475429904568270179255646089/196606057528071366356412000$	$1.09986$	$6.25019$	$[1, 0, 1, -28182249, 677066835916]$	$y^2+xy+y=x^3-28182249x+677066835916$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.y.1.8, 460.12.0.?, $\ldots$	$[(-9466, 314022)]$
53130.s4	53130t1	53130.s	53130t	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ 2^{20} \cdot 3^{3} \cdot 5^{3} \cdot 7^{4} \cdot 11^{8} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.12	2B	$2760$	$48$	$0$	$7.855384476$	$1$		$3$	$5898240$	$3.031784$	$77448107425788419878921609/41892392875786371072000$	$1.00708$	$5.47876$	$[1, 0, 1, -8880329, -2603762548]$	$y^2+xy+y=x^3-8880329x-2603762548$	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.y.1.2, $\ldots$	$[(170235, 70142338)]$
53130.t1	53130s4	53130.t	53130s	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ 2 \cdot 3^{2} \cdot 5^{4} \cdot 7^{4} \cdot 11 \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.7	2B	$70840$	$48$	$0$	$1.619284743$	$4$	$2$	$6$	$106496$	$1.094418$	$1589524669089018649/6833846250$	$0.91496$	$3.85184$	$[1, 0, 1, -24314, -1461238]$	$y^2+xy+y=x^3-24314x-1461238$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 280.24.0.?, 1012.12.0.?, $\ldots$	$[(-90, 46)]$
53130.t2	53130s3	53130.t	53130s	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{4} \cdot 23^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.8	2B	$70840$	$48$	$0$	$1.619284743$	$1$		$4$	$106496$	$1.094418$	$11434573275812569/2581205811030$	$0.89213$	$3.39832$	$[1, 0, 1, -4694, 96266]$	$y^2+xy+y=x^3-4694x+96266$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 140.12.0.?, 280.24.0.?, $\ldots$	$[(84, 502)]$
53130.t3	53130s2	53130.t	53130s	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ 2^{2} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \cdot 23^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.1	2Cs	$70840$	$48$	$0$	$0.809642371$	$1$		$14$	$53248$	$0.747845$	$406687851166969/25405172100$	$0.86574$	$3.09168$	$[1, 0, 1, -1544, -22174]$	$y^2+xy+y=x^3-1544x-22174$	2.6.0.a.1, 8.12.0-2.a.1.1, 140.12.0.?, 280.24.0.?, 1012.12.0.?, $\ldots$	$[(-24, 46)]$
53130.t4	53130s1	53130.t	53130s	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ - 2^{4} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.12	2B	$70840$	$48$	$0$	$1.619284743$	$1$		$5$	$26624$	$0.401271$	$49471280711/929562480$	$0.84844$	$2.58018$	$[1, 0, 1, 76, -1438]$	$y^2+xy+y=x^3+76x-1438$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 140.12.0.?, 280.24.0.?, $\ldots$	$[(18, 67)]$
53130.u1	53130u4	53130.u	53130u	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ 2^{5} \cdot 3^{4} \cdot 5 \cdot 7^{2} \cdot 11 \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$30360$	$48$	$0$	$4.448887974$	$1$		$0$	$1310720$	$2.232723$	$130927136818763403860009689/160665120$	$0.98594$	$5.52702$	$[1, 0, 1, -10578774, 13242567112]$	$y^2+xy+y=x^3-10578774x+13242567112$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 88.12.0.?, 264.24.0.?, $\ldots$	$[(16906/3, -23965/3)]$
53130.u2	53130u2	53130.u	53130u	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 7^{4} \cdot 11^{2} \cdot 23^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.6.0.1	2Cs	$30360$	$48$	$0$	$2.224443987$	$1$		$8$	$655360$	$1.886152$	$31964658506999396739289/35409164313600$	$0.95849$	$4.76255$	$[1, 0, 1, -661174, 206873672]$	$y^2+xy+y=x^3-661174x+206873672$	2.6.0.a.1, 12.12.0-2.a.1.1, 88.12.0.?, 264.24.0.?, 460.12.0.?, $\ldots$	$[(501, 949)]$
53130.u3	53130u3	53130.u	53130u	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 $	$ - 2^{5} \cdot 3 \cdot 5^{4} \cdot 7^{8} \cdot 11 \cdot 23^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$30360$	$48$	$0$	$4.448887974$	$1$		$2$	$1310720$	$2.232723$	$-31204967494047467761369/1064730266583060000$	$0.95895$	$4.76561$	$[1, 0, 1, -655894, 210341576]$	$y^2+xy+y=x^3-655894x+210341576$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 88.12.0.?, 264.24.0.?, $\ldots$	$[(468, 2203)]$

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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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