LMFDB - Elliptic curves over $\Q$ of conductor 422730

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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
422730.a1	422730a2	422730.a	422730a	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2^{6} \cdot 3^{7} \cdot 5 \cdot 7^{4} \cdot 11^{2} \cdot 61^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$40260$	$12$	$0$	$2.538691912$	$1$		$16$	$2260992$	$1.589096$	$9647409314193841/1037787495360$	$0.92338$	$3.34997$	$[1, -1, 0, -39915, 2779461]$	$y^2+xy=x^3-x^2-39915x+2779461$	2.3.0.a.1, 60.6.0.a.1, 2684.6.0.?, 40260.12.0.?	$[(-50, 2181), (195, 1446)]$
422730.a2	422730a1	422730.a	422730a	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ - 2^{12} \cdot 3^{8} \cdot 5^{2} \cdot 7^{2} \cdot 11 \cdot 61 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$40260$	$12$	$0$	$2.538691912$	$1$		$15$	$1130496$	$1.242523$	$5376850209359/30301286400$	$0.90767$	$2.93894$	$[1, -1, 0, 3285, 213381]$	$y^2+xy=x^3-x^2+3285x+213381$	2.3.0.a.1, 60.6.0.b.1, 1342.6.0.?, 40260.12.0.?	$[(3, 471), (-39, 177)]$
422730.b1	422730b1	422730.b	422730b	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ - 2^{7} \cdot 3^{8} \cdot 5^{7} \cdot 7^{2} \cdot 11^{2} \cdot 61 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2440$	$2$	$0$	$1$	$1$		$0$	$4716544$	$1.834877$	$-24369073729176961/32550210000000$	$0.88680$	$3.51385$	$[1, -1, 0, -54360, -8859200]$	$y^2+xy=x^3-x^2-54360x-8859200$	2440.2.0.?	$[]$
422730.c1	422730c4	422730.c	422730c	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2^{2} \cdot 3^{7} \cdot 5 \cdot 7^{2} \cdot 11^{4} \cdot 61^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$80520$	$48$	$0$	$0.637532340$	$1$		$10$	$4980736$	$2.086372$	$1740475824492363841/595987856758140$	$0.90502$	$3.75101$	$[1, -1, 0, -225540, -26286620]$	$y^2+xy=x^3-x^2-225540x-26286620$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 20.12.0-4.c.1.1, 60.24.0-60.h.1.2, $\ldots$	$[(-262, 3974)]$
422730.c2	422730c2	422730.c	422730c	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 7^{4} \cdot 11^{2} \cdot 61^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$40260$	$48$	$0$	$1.275064681$	$1$		$14$	$2490368$	$1.739801$	$122971819340039041/3891703107600$	$0.88191$	$3.54645$	$[1, -1, 0, -93240, 10678000]$	$y^2+xy=x^3-x^2-93240x+10678000$	2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 60.24.0-60.a.1.4, 2684.12.0.?, $\ldots$	$[(20, 2960)]$
422730.c3	422730c1	422730.c	422730c	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2^{8} \cdot 3^{7} \cdot 5 \cdot 7^{2} \cdot 11 \cdot 61 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$80520$	$48$	$0$	$2.550129363$	$1$		$5$	$1245184$	$1.393227$	$120144998550165121/126255360$	$0.88121$	$3.54465$	$[1, -1, 0, -92520, 10854976]$	$y^2+xy=x^3-x^2-92520x+10854976$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.3, 120.24.0.?, $\ldots$	$[(185, 119)]$
422730.c4	422730c3	422730.c	422730c	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ - 2^{2} \cdot 3^{10} \cdot 5^{4} \cdot 7^{8} \cdot 11 \cdot 61 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$80520$	$48$	$0$	$2.550129363$	$1$		$4$	$4980736$	$2.086372$	$3168685387909439/783306747877500$	$0.93552$	$3.73142$	$[1, -1, 0, 27540, 36307516]$	$y^2+xy=x^3-x^2+27540x+36307516$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$	$[(203, 6986)]$
422730.d1	422730d2	422730.d	422730d	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2^{3} \cdot 3^{9} \cdot 5^{5} \cdot 7^{18} \cdot 11 \cdot 61^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$563640$	$12$	$0$	$93.21524604$	$1$		$0$	$646963200$	$4.207222$	$16232136301957017090318409683/1666314924401814700475000$	$0.99383$	$5.77748$	$[1, -1, 0, -1424233140, -18763287182200]$	$y^2+xy=x^3-x^2-1424233140x-18763287182200$	2.3.0.a.1, 1320.6.0.?, 5124.6.0.?, 187880.6.0.?, 563640.12.0.?	$[(24454920737970665014468028307637819032823/527335664280871839, 3388859751973108399250003079777556503721291147568088474026942/527335664280871839)]$
422730.d2	422730d1	422730.d	422730d	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2^{6} \cdot 3^{9} \cdot 5^{10} \cdot 7^{9} \cdot 11^{2} \cdot 61 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$563640$	$12$	$0$	$46.60762302$	$1$		$1$	$323481600$	$3.860649$	$14995583891179829705976409683/186156233291875000000$	$0.99205$	$5.77136$	$[1, -1, 0, -1387108140, -19883890457200]$	$y^2+xy=x^3-x^2-1387108140x-19883890457200$	2.3.0.a.1, 1320.6.0.?, 2562.6.0.?, 187880.6.0.?, 563640.12.0.?	$[(-12907282145784556140512/774956751, -1683950197374642788687351899732/774956751)]$
422730.e1	422730e1	422730.e	422730e	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7^{3} \cdot 11^{2} \cdot 61 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$112728$	$12$	$0$	$3.513690458$	$1$		$3$	$1142784$	$1.145792$	$142828484767547067/253168300$	$0.90900$	$3.30359$	$[1, -1, 0, -32670, -2264704]$	$y^2+xy=x^3-x^2-32670x-2264704$	2.3.0.a.1, 264.6.0.?, 2562.6.0.?, 37576.6.0.?, 112728.12.0.?	$[(248, 2076)]$
422730.e2	422730e2	422730.e	422730e	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ - 2 \cdot 3^{3} \cdot 5^{4} \cdot 7^{6} \cdot 11 \cdot 61^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$112728$	$12$	$0$	$7.027380916$	$1$		$0$	$2285568$	$1.492367$	$-138543944550137307/6019364023750$	$0.90980$	$3.30682$	$[1, -1, 0, -32340, -2312950]$	$y^2+xy=x^3-x^2-32340x-2312950$	2.3.0.a.1, 264.6.0.?, 5124.6.0.?, 37576.6.0.?, 112728.12.0.?	$[(3965/4, 132945/4)]$
422730.f1	422730f2	422730.f	422730f	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2 \cdot 3^{9} \cdot 5 \cdot 7^{2} \cdot 11^{3} \cdot 61^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$563640$	$12$	$0$	$12.73882762$	$1$		$8$	$6709248$	$2.086597$	$39574672133346992403/2426798990$	$0.91701$	$4.24658$	$[1, -1, 0, -1916880, -1021025890]$	$y^2+xy=x^3-x^2-1916880x-1021025890$	2.3.0.a.1, 1320.6.0.?, 5124.6.0.?, 187880.6.0.?, 563640.12.0.?	$[(-799, 405), (-352337/21, 3705484/21)]$
422730.f2	422730f1	422730.f	422730f	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2^{2} \cdot 3^{9} \cdot 5^{2} \cdot 7 \cdot 11^{6} \cdot 61 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$563640$	$12$	$0$	$3.184706906$	$1$		$15$	$3354624$	$1.740025$	$9716366169351603/75645654700$	$0.86649$	$3.60494$	$[1, -1, 0, -120030, -15868000]$	$y^2+xy=x^3-x^2-120030x-15868000$	2.3.0.a.1, 1320.6.0.?, 2562.6.0.?, 187880.6.0.?, 563640.12.0.?	$[(-205, 405), (-1790/3, -6170/3)]$
422730.g1	422730g5	422730.g	422730g	$6$	$8$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2^{2} \cdot 3^{22} \cdot 5^{8} \cdot 7^{2} \cdot 11^{2} \cdot 61 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.5	2B	$1127280$	$192$	$1$	$1$	$1$		$0$	$79691776$	$3.225601$	$52502549712587320686888241/24326038339607812500$	$0.96757$	$5.08045$	$[1, -1, 0, -70209315, 226360148881]$	$y^2+xy=x^3-x^2-70209315x+226360148881$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 24.24.0-8.n.1.10, $\ldots$	$[]$
422730.g2	422730g3	422730.g	422730g	$6$	$8$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2^{4} \cdot 3^{14} \cdot 5^{4} \cdot 7^{4} \cdot 11^{4} \cdot 61^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.3	2Cs	$563640$	$192$	$1$	$1$	$1$		$2$	$39845888$	$2.879028$	$20229128008009064187121/8582080985457210000$	$0.95120$	$4.47359$	$[1, -1, 0, -5108895, 2297523325]$	$y^2+xy=x^3-x^2-5108895x+2297523325$	2.6.0.a.1, 4.12.0.b.1, 12.24.0-4.b.1.1, 40.24.0.h.1, 120.48.0.?, $\ldots$	$[]$
422730.g3	422730g2	422730.g	422730g	$6$	$8$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2^{8} \cdot 3^{10} \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \cdot 61^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.3	2Cs	$563640$	$192$	$1$	$1$	$1$		$2$	$19922944$	$2.532455$	$2176178234017003196401/42556488284217600$	$0.93085$	$4.30148$	$[1, -1, 0, -2429775, -1432347539]$	$y^2+xy=x^3-x^2-2429775x-1432347539$	2.6.0.a.1, 4.12.0.b.1, 12.24.0-4.b.1.3, 40.24.0.h.2, 120.48.0.?, $\ldots$	$[]$
422730.g4	422730g1	422730.g	422730g	$6$	$8$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2^{16} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 11 \cdot 61^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.5	2B	$1127280$	$192$	$1$	$1$	$4$	$2$	$1$	$9961472$	$2.185883$	$2145371801530843856881/844973015040$	$0.93048$	$4.30038$	$[1, -1, 0, -2418255, -1446837395]$	$y^2+xy=x^3-x^2-2418255x-1446837395$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 24.24.0-8.n.1.12, $\ldots$	$[]$
422730.g5	422730g4	422730.g	422730g	$6$	$8$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ - 2^{4} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 11 \cdot 61^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.5	2B	$1127280$	$192$	$1$	$1$	$4$	$2$	$0$	$39845888$	$2.879028$	$41709358422320399/10628253432569258640$	$1.02030$	$4.46613$	$[1, -1, 0, 65025, -4235005859]$	$y^2+xy=x^3-x^2+65025x-4235005859$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 24.24.0-8.n.1.12, $\ldots$	$[]$
422730.g6	422730g6	422730.g	422730g	$6$	$8$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ - 2^{2} \cdot 3^{10} \cdot 5^{2} \cdot 7^{8} \cdot 11^{8} \cdot 61 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.5	2B	$1127280$	$192$	$1$	$1$	$1$		$0$	$79691776$	$3.225601$	$761963096604909060524879/610577301653709182100$	$0.96700$	$4.75371$	$[1, -1, 0, 17125605, 16914483625]$	$y^2+xy=x^3-x^2+17125605x+16914483625$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 24.24.0-8.n.1.10, $\ldots$	$[]$
422730.h1	422730h2	422730.h	422730h	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2^{8} \cdot 3^{9} \cdot 5 \cdot 7^{2} \cdot 11^{8} \cdot 61^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$25620$	$12$	$0$	$0.655858419$	$1$		$10$	$27525120$	$2.747974$	$284810697337849713603/50027315729726720$	$0.97596$	$4.39893$	$[1, -1, 0, -3700905, 2287907405]$	$y^2+xy=x^3-x^2-3700905x+2287907405$	2.3.0.a.1, 60.6.0.a.1, 5124.6.0.?, 8540.6.0.?, 25620.12.0.?	$[(-334, 59215)]$
422730.h2	422730h1	422730.h	422730h	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2^{16} \cdot 3^{9} \cdot 5^{2} \cdot 7 \cdot 11^{4} \cdot 61 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$25620$	$12$	$0$	$1.311716838$	$1$		$9$	$13762560$	$2.401402$	$246749904915007243203/10242796748800$	$0.92616$	$4.38785$	$[1, -1, 0, -3528105, 2551496525]$	$y^2+xy=x^3-x^2-3528105x+2551496525$	2.3.0.a.1, 60.6.0.b.1, 2562.6.0.?, 8540.6.0.?, 25620.12.0.?	$[(1225, 7555)]$
422730.i1	422730i1	422730.i	422730i	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2^{4} \cdot 3^{15} \cdot 5^{6} \cdot 7 \cdot 11^{4} \cdot 61 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$25620$	$12$	$0$	$1$	$1$		$1$	$10616832$	$2.458538$	$411273237568804722721/30763087220250000$	$0.92451$	$4.17288$	$[1, -1, 0, -1394370, -591023804]$	$y^2+xy=x^3-x^2-1394370x-591023804$	2.3.0.a.1, 20.6.0.b.1, 2562.6.0.?, 25620.12.0.?	$[]$
422730.i2	422730i2	422730.i	422730i	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ - 2^{2} \cdot 3^{24} \cdot 5^{3} \cdot 7^{2} \cdot 11^{2} \cdot 61^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$25620$	$12$	$0$	$1$	$1$		$0$	$21233664$	$2.805111$	$355400275419091637279/4273598415502300500$	$0.95401$	$4.39200$	$[1, -1, 0, 1328130, -2620375304]$	$y^2+xy=x^3-x^2+1328130x-2620375304$	2.3.0.a.1, 20.6.0.a.1, 5124.6.0.?, 25620.12.0.?	$[]$
422730.j1	422730j2	422730.j	422730j	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2^{16} \cdot 3^{3} \cdot 5 \cdot 7^{6} \cdot 11^{4} \cdot 61^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$25620$	$12$	$0$	$3.512058850$	$1$		$2$	$18874368$	$2.656036$	$645370426042909260613947/2100238356476395520$	$1.00060$	$4.48647$	$[1, -1, 0, -5401110, -4816442380]$	$y^2+xy=x^3-x^2-5401110x-4816442380$	2.3.0.a.1, 60.6.0.a.1, 5124.6.0.?, 8540.6.0.?, 25620.12.0.?	$[(44732, 9425314)]$
422730.j2	422730j1	422730.j	422730j	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2^{32} \cdot 3^{3} \cdot 5^{2} \cdot 7^{3} \cdot 11^{2} \cdot 61 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$25620$	$12$	$0$	$7.024117700$	$1$		$1$	$9437184$	$2.309460$	$469924363059893471547/271837392220979200$	$1.06572$	$3.92875$	$[1, -1, 0, -485910, -2495500]$	$y^2+xy=x^3-x^2-485910x-2495500$	2.3.0.a.1, 60.6.0.b.1, 2562.6.0.?, 8540.6.0.?, 25620.12.0.?	$[(3175/2, 81275/2)]$
422730.k1	422730k1	422730.k	422730k	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ - 2 \cdot 3^{3} \cdot 5^{18} \cdot 7 \cdot 11 \cdot 61 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$112728$	$2$	$0$	$10.04573297$	$1$		$0$	$7349760$	$2.202278$	$-521769584077479803547/35835266113281250$	$0.95289$	$3.94549$	$[1, -1, 0, -503160, -145172450]$	$y^2+xy=x^3-x^2-503160x-145172450$	112728.2.0.?	$[(50625065/112, 351323199485/112)]$
422730.l1	422730l1	422730.l	422730l	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ - 2^{23} \cdot 3^{9} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 61 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$112728$	$2$	$0$	$1$	$1$		$0$	$3356160$	$1.807026$	$-78111849966723/985032294400$	$0.90569$	$3.47393$	$[1, -1, 0, -24045, -6845275]$	$y^2+xy=x^3-x^2-24045x-6845275$	112728.2.0.?	$[]$
422730.m1	422730m1	422730.m	422730m	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2^{2} \cdot 3^{11} \cdot 5^{2} \cdot 7 \cdot 11^{2} \cdot 61 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$563640$	$12$	$0$	$1.609422112$	$1$		$19$	$1167360$	$1.206739$	$1061239212306001/1255508100$	$0.85036$	$3.17958$	$[1, -1, 0, -19125, 1021761]$	$y^2+xy=x^3-x^2-19125x+1021761$	2.3.0.a.1, 440.6.0.?, 2562.6.0.?, 563640.12.0.?	$[(12, 885), (33, 636)]$
422730.m2	422730m2	422730.m	422730m	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ - 2 \cdot 3^{16} \cdot 5 \cdot 7^{2} \cdot 11 \cdot 61^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$563640$	$12$	$0$	$6.437688451$	$1$		$8$	$2334720$	$1.553312$	$-432098362306801/1184297963310$	$0.86852$	$3.24506$	$[1, -1, 0, -14175, 1559331]$	$y^2+xy=x^3-x^2-14175x+1559331$	2.3.0.a.1, 440.6.0.?, 5124.6.0.?, 563640.12.0.?	$[(27, 1080), (55, 944)]$
422730.n1	422730n2	422730.n	422730n	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2^{5} \cdot 3^{8} \cdot 5^{4} \cdot 7^{5} \cdot 11^{6} \cdot 61^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$37576$	$12$	$0$	$13.93087084$	$1$		$0$	$95846400$	$3.409054$	$1893354912127028704558473361/19942448819430060000$	$0.97838$	$5.35720$	$[1, -1, 0, -231959385, -1359701457075]$	$y^2+xy=x^3-x^2-231959385x-1359701457075$	2.3.0.a.1, 56.6.0.a.1, 2684.6.0.?, 37576.12.0.?	$[(15348165/13, 59122142340/13)]$
422730.n2	422730n1	422730.n	422730n	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ - 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 7^{10} \cdot 11^{3} \cdot 61 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$37576$	$12$	$0$	$6.965435422$	$1$		$3$	$47923200$	$3.062481$	$-428949042022488565725841/47556871251616742400$	$0.95289$	$4.72289$	$[1, -1, 0, -14140665, -22338080019]$	$y^2+xy=x^3-x^2-14140665x-22338080019$	2.3.0.a.1, 56.6.0.d.1, 1342.6.0.?, 37576.12.0.?	$[(4893, 157551)]$
422730.o1	422730o1	422730.o	422730o	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2^{4} \cdot 3^{6} \cdot 5 \cdot 7^{3} \cdot 11 \cdot 61^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$93940$	$12$	$0$	$1$	$1$		$1$	$811008$	$0.988408$	$3348743385681/1123146640$	$0.88497$	$2.73506$	$[1, -1, 0, -2805, -36379]$	$y^2+xy=x^3-x^2-2805x-36379$	2.3.0.a.1, 244.6.0.?, 770.6.0.?, 93940.12.0.?	$[]$
422730.o2	422730o2	422730.o	422730o	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ - 2^{2} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 11^{2} \cdot 61 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$93940$	$12$	$0$	$1$	$1$		$0$	$1622016$	$1.334982$	$82876153250799/86836726900$	$0.86152$	$2.98275$	$[1, -1, 0, 8175, -258175]$	$y^2+xy=x^3-x^2+8175x-258175$	2.3.0.a.1, 244.6.0.?, 1540.6.0.?, 93940.12.0.?	$[]$
422730.p1	422730p4	422730.p	422730p	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2 \cdot 3^{7} \cdot 5^{2} \cdot 7^{6} \cdot 11^{2} \cdot 61^{3} $	$0$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$563640$	$96$	$1$	$1$	$1$		$4$	$37822464$	$2.934460$	$42385046023072905040884241/484679191192350$	$0.96688$	$5.06392$	$[1, -1, 0, -65374065, 203465712375]$	$y^2+xy=x^3-x^2-65374065x+203465712375$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 1464.48.0.?, 1540.6.0.?, $\ldots$	$[]$
422730.p2	422730p3	422730.p	422730p	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2^{2} \cdot 3^{8} \cdot 5 \cdot 7^{3} \cdot 11 \cdot 61^{6} $	$0$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$563640$	$96$	$1$	$1$	$1$		$5$	$18911232$	$2.587887$	$10373127281034145855921/34989547043529540$	$0.93708$	$4.42203$	$[1, -1, 0, -4089195, 3174500241]$	$y^2+xy=x^3-x^2-4089195x+3174500241$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 770.6.0.?, 1464.48.0.?, $\ldots$	$[]$
422730.p3	422730p2	422730.p	422730p	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2^{3} \cdot 3^{9} \cdot 5^{6} \cdot 7^{2} \cdot 11^{6} \cdot 61 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$563640$	$96$	$1$	$1$	$1$		$0$	$12607488$	$2.385155$	$93433342331433792241/17871285922875000$	$0.92013$	$4.05847$	$[1, -1, 0, -850815, 247367925]$	$y^2+xy=x^3-x^2-850815x+247367925$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 1464.48.0.?, 1540.6.0.?, $\ldots$	$[]$
422730.p4	422730p1	422730.p	422730p	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2^{6} \cdot 3^{12} \cdot 5^{3} \cdot 7 \cdot 11^{3} \cdot 61^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$563640$	$96$	$1$	$1$	$1$		$1$	$6303744$	$2.038582$	$2602111474194891121/202187024424000$	$0.89990$	$3.78205$	$[1, -1, 0, -257895, -46838979]$	$y^2+xy=x^3-x^2-257895x-46838979$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 770.6.0.?, 1464.48.0.?, $\ldots$	$[]$
422730.q1	422730q4	422730.q	422730q	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2^{12} \cdot 3^{15} \cdot 5 \cdot 7^{8} \cdot 11^{4} \cdot 61^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$80520$	$48$	$0$	$1$	$1$		$0$	$806879232$	$4.629219$	$1133864172264870479370333563526241/471081062128889576217047040$	$1.01102$	$6.38409$	$[1, -1, 0, -19551869190, -1051895431186124]$	$y^2+xy=x^3-x^2-19551869190x-1051895431186124$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 20.12.0-4.c.1.1, 60.24.0-60.h.1.2, $\ldots$	$[]$
422730.q2	422730q2	422730.q	422730q	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2^{24} \cdot 3^{24} \cdot 5^{2} \cdot 7^{4} \cdot 11^{2} \cdot 61^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$40260$	$48$	$0$	$1$	$4$	$2$	$2$	$403439616$	$4.282646$	$427086061060083410761219513441/175662755099642617764249600$	$1.04549$	$5.77549$	$[1, -1, 0, -1412016390, -10983513904844]$	$y^2+xy=x^3-x^2-1412016390x-10983513904844$	2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 60.24.0-60.a.1.4, 2684.12.0.?, $\ldots$	$[]$
422730.q3	422730q1	422730.q	422730q	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2^{48} \cdot 3^{15} \cdot 5 \cdot 7^{2} \cdot 11 \cdot 61 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$80520$	$48$	$0$	$1$	$16$	$2$	$1$	$201719808$	$3.936069$	$43030354618871389314499943521/910793009948523453480960$	$0.98729$	$5.59832$	$[1, -1, 0, -657041670, 6362936256820]$	$y^2+xy=x^3-x^2-657041670x+6362936256820$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.3, 120.24.0.?, $\ldots$	$[]$
422730.q4	422730q3	422730.q	422730q	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ - 2^{12} \cdot 3^{42} \cdot 5^{4} \cdot 7^{2} \cdot 11 \cdot 61 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$80520$	$48$	$0$	$1$	$16$	$2$	$0$	$806879232$	$4.629219$	$15235687777819537947982729307039/12633501475660887294359040000$	$1.05439$	$6.05141$	$[1, -1, 0, 4648240890, -80253466666700]$	$y^2+xy=x^3-x^2+4648240890x-80253466666700$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$	$[]$
422730.r1	422730r3	422730.r	422730r	$4$	$10$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2^{2} \cdot 3^{7} \cdot 5^{2} \cdot 7 \cdot 11^{10} \cdot 61^{5} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 5$	2.3.0.1, 5.12.0.2	2B, 5B.4.2	$563640$	$288$	$5$	$1$	$1$		$1$	$358400000$	$4.067894$	$5555346655662885019338595475281/46003971038489101892100$	$0.99919$	$5.97353$	$[1, -1, 0, -3320766405, 73655874735201]$	$y^2+xy=x^3-x^2-3320766405x+73655874735201$	2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 15.24.0-5.a.2.1, 30.72.0-10.a.1.4, $\ldots$	$[]$
422730.r2	422730r4	422730.r	422730r	$4$	$10$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ - 2 \cdot 3^{8} \cdot 5 \cdot 7^{2} \cdot 11^{5} \cdot 61^{10} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 5$	2.3.0.1, 5.12.0.2	2B, 5B.4.2	$563640$	$288$	$5$	$1$	$4$	$2$	$0$	$716800000$	$4.414467$	$-5199504460028149066396546564081/506641038664025374461800910$	$1.00014$	$5.98043$	$[1, -1, 0, -3248293455, 77024171043171]$	$y^2+xy=x^3-x^2-3248293455x+77024171043171$	2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 15.24.0-5.a.2.1, 30.72.0-10.a.1.4, $\ldots$	$[]$
422730.r3	422730r1	422730.r	422730r	$4$	$10$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2^{10} \cdot 3^{11} \cdot 5^{10} \cdot 7^{5} \cdot 11^{2} \cdot 61 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 5$	2.3.0.1, 5.12.0.1	2B, 5B.4.1	$563640$	$288$	$5$	$1$	$1$		$1$	$71680000$	$3.263176$	$12411455694361059171563281/301447494810000000000$	$0.96325$	$4.96911$	$[1, -1, 0, -43411905, -107747532099]$	$y^2+xy=x^3-x^2-43411905x-107747532099$	2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 15.24.0-5.a.1.1, 30.72.0-10.a.2.4, $\ldots$	$[]$
422730.r4	422730r2	422730.r	422730r	$4$	$10$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ - 2^{5} \cdot 3^{16} \cdot 5^{5} \cdot 7^{10} \cdot 11 \cdot 61^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 5$	2.3.0.1, 5.12.0.1	2B, 5B.4.1	$563640$	$288$	$5$	$1$	$4$	$2$	$0$	$143360000$	$3.609749$	$34232640998190260436719/68272420831874513100000$	$1.01461$	$5.14292$	$[1, -1, 0, 6088095, -339377832099]$	$y^2+xy=x^3-x^2+6088095x-339377832099$	2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 15.24.0-5.a.1.1, 30.72.0-10.a.2.4, $\ldots$	$[]$
422730.s1	422730s3	422730.s	422730s	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2^{7} \cdot 3^{6} \cdot 5^{4} \cdot 7 \cdot 11^{4} \cdot 61^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$51240$	$48$	$0$	$1$	$1$		$0$	$142213120$	$3.474846$	$37878453234522762276932709921/113521496525360000$	$1.00337$	$5.58848$	$[1, -1, 0, -629697570, 6082153543700]$	$y^2+xy=x^3-x^2-629697570x+6082153543700$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0.s.1, 168.24.0.?, $\ldots$	$[]$
422730.s2	422730s2	422730.s	422730s	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2^{14} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 11^{8} \cdot 61^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$51240$	$48$	$0$	$1$	$1$		$2$	$71106560$	$3.128273$	$9259200968805149728839201/16008741033512550400$	$0.99860$	$4.94650$	$[1, -1, 0, -39372450, 94958111636]$	$y^2+xy=x^3-x^2-39372450x+94958111636$	2.6.0.a.1, 12.12.0-2.a.1.1, 56.12.0.b.1, 168.24.0.?, 1220.12.0.?, $\ldots$	$[]$
422730.s3	422730s4	422730.s	422730s	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ - 2^{7} \cdot 3^{6} \cdot 5 \cdot 7 \cdot 11^{16} \cdot 61 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$51240$	$48$	$0$	$1$	$16$	$2$	$0$	$142213120$	$3.474846$	$-3010886403566634803117601/12557142177117000158080$	$1.01449$	$5.02227$	$[1, -1, 0, -27074850, 155346706196]$	$y^2+xy=x^3-x^2-27074850x+155346706196$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.y.1, 168.24.0.?, $\ldots$	$[]$
422730.s4	422730s1	422730.s	422730s	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2^{28} \cdot 3^{6} \cdot 5 \cdot 7^{4} \cdot 11^{4} \cdot 61 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$51240$	$48$	$0$	$1$	$1$		$1$	$35553280$	$2.781700$	$5187205194899938088481/2878078390139617280$	$0.98255$	$4.36854$	$[1, -1, 0, -3245730, 457837460]$	$y^2+xy=x^3-x^2-3245730x+457837460$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0.y.1, 168.24.0.?, $\ldots$	$[]$
422730.t1	422730t2	422730.t	422730t	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2^{5} \cdot 3^{9} \cdot 5^{4} \cdot 7^{6} \cdot 11^{2} \cdot 61 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$112728$	$12$	$0$	$1$	$1$		$0$	$6266880$	$2.073399$	$66620740052295603/17367345380000$	$0.88621$	$3.75355$	$[1, -1, 0, -228030, -31012300]$	$y^2+xy=x^3-x^2-228030x-31012300$	2.3.0.a.1, 924.6.0.?, 1464.6.0.?, 37576.6.0.?, 112728.12.0.?	$[]$

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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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