LMFDB - Elliptic curves over $\Q$ of conductor 72450

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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	$Ш_{\textrm{an}}$	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
72450.a1	72450e2	72450.a	72450e	$2$	$3$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ - 2^{5} \cdot 3^{9} \cdot 5^{6} \cdot 7^{3} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$19320$	$16$	$0$	$19.51477806$	$1$	$0$	$1710720$	$2.147350$	$-5702623460245179/252448$	$1.02554$	$4.98844$	$[1, -1, 0, -2512392, -1532149984]$	$y^2+xy=x^3-x^2-2512392x-1532149984$	3.4.0.a.1, 15.8.0-3.a.1.1, 3864.8.0.?, 19320.16.0.?	$[(1035829855/751, 2480733790594/751)]$
72450.a2	72450e1	72450.a	72450e	$2$	$3$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ - 2^{15} \cdot 3^{3} \cdot 5^{6} \cdot 7 \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$19320$	$16$	$0$	$6.504926020$	$1$	$2$	$570240$	$1.598043$	$-5999796014211/2790817792$	$0.99901$	$3.83937$	$[1, -1, 0, -28392, -2465984]$	$y^2+xy=x^3-x^2-28392x-2465984$	3.4.0.a.1, 15.8.0-3.a.1.2, 3864.8.0.?, 19320.16.0.?	$[(1055, 33251)]$
72450.b1	72450bk4	72450.b	72450bk	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ 2^{15} \cdot 3^{8} \cdot 5^{6} \cdot 7^{12} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	8.6.0.6, 3.4.0.1	2B, 3B	$2760$	$96$	$1$	$11.27161809$	$1$	$0$	$33177600$	$3.714386$	$385693937170561837203625/2159357734550274048$	$1.04188$	$6.30505$	$[1, -1, 0, -341210367, 2414269686541]$	$y^2+xy=x^3-x^2-341210367x+2414269686541$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 15.8.0-3.a.1.2, $\ldots$	$[(2365929/16, 898324643/16)]$
72450.b2	72450bk2	72450.b	72450bk	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ 2^{5} \cdot 3^{12} \cdot 5^{6} \cdot 7^{4} \cdot 23^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	8.6.0.6, 3.4.0.1	2B, 3B	$2760$	$96$	$1$	$3.757206032$	$1$	$4$	$11059200$	$3.165081$	$155355156733986861625/8291568305839392$	$1.02028$	$5.60651$	$[1, -1, 0, -25198992, -46382343584]$	$y^2+xy=x^3-x^2-25198992x-46382343584$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 15.8.0-3.a.1.1, $\ldots$	$[(-2511, 33743)]$
72450.b3	72450bk3	72450.b	72450bk	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ - 2^{30} \cdot 3^{10} \cdot 5^{6} \cdot 7^{6} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	8.6.0.1, 3.4.0.1	2B, 3B	$2760$	$96$	$1$	$5.635809048$	$1$	$1$	$16588800$	$3.367813$	$-8152944444844179625/235342826399858688$	$1.05206$	$5.69428$	$[1, -1, 0, -9434367, 79561974541]$	$y^2+xy=x^3-x^2-9434367x+79561974541$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 15.8.0-3.a.1.2, $\ldots$	$[(223571/2, 105351829/2)]$
72450.b4	72450bk1	72450.b	72450bk	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ - 2^{10} \cdot 3^{18} \cdot 5^{6} \cdot 7^{2} \cdot 23^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	8.6.0.1, 3.4.0.1	2B, 3B	$2760$	$96$	$1$	$1.878603016$	$1$	$7$	$5529600$	$2.818508$	$11079872671250375/324440155855872$	$1.03171$	$5.10213$	$[1, -1, 0, 1045008, -2896035584]$	$y^2+xy=x^3-x^2+1045008x-2896035584$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 15.8.0-3.a.1.1, $\ldots$	$[(1280, 22544)]$
72450.c1	72450n2	72450.c	72450n	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ 2^{10} \cdot 3^{9} \cdot 5^{9} \cdot 7^{2} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$9660$	$12$	$0$	$26.83459229$	$1$	$0$	$13824000$	$3.268738$	$219181950070420668759/1154048$	$1.01581$	$6.36325$	$[1, -1, 0, -423936492, -3359584865584]$	$y^2+xy=x^3-x^2-423936492x-3359584865584$	2.3.0.a.1, 420.6.0.?, 644.6.0.?, 690.6.0.?, 9660.12.0.?	$[(66794646412369/14549, 544220126382833131772/14549)]$
72450.c2	72450n1	72450.c	72450n	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ 2^{20} \cdot 3^{9} \cdot 5^{9} \cdot 7 \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$9660$	$12$	$0$	$13.41729614$	$1$	$1$	$6912000$	$2.922165$	$53514014005477719/3882876928$	$1.01119$	$5.61997$	$[1, -1, 0, -26496492, -52486625584]$	$y^2+xy=x^3-x^2-26496492x-52486625584$	2.3.0.a.1, 210.6.0.?, 644.6.0.?, 1380.6.0.?, 9660.12.0.?	$[(-85390517/169, 4319803942/169)]$
72450.d1	72450bb1	72450.d	72450bb	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ - 2^{13} \cdot 3^{9} \cdot 5^{6} \cdot 7^{5} \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$3864$	$2$	$0$	$1$	$1$	$0$	$1347840$	$2.293427$	$-14943832855786297/85501108224$	$0.98256$	$4.78088$	$[1, -1, 0, -1154592, 480162816]$	$y^2+xy=x^3-x^2-1154592x+480162816$	3864.2.0.?	$[]$
72450.e1	72450bz1	72450.e	72450bz	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ - 2 \cdot 3^{6} \cdot 5^{8} \cdot 7^{7} \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1288$	$2$	$0$	$1$	$1$	$0$	$1290240$	$2.278214$	$84972077055/20040095362$	$1.24546$	$4.52524$	$[1, -1, 0, 60258, -114808834]$	$y^2+xy=x^3-x^2+60258x-114808834$	1288.2.0.?	$[]$
72450.f1	72450m2	72450.f	72450m	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ 2^{2} \cdot 3^{9} \cdot 5^{3} \cdot 7^{4} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.4	2B	$19320$	$48$	$1$	$0.764160943$	$1$	$8$	$884736$	$2.015495$	$158909194494247023/5080516$	$1.17761$	$4.85431$	$[1, -1, 0, -1523382, 724085576]$	$y^2+xy=x^3-x^2-1523382x+724085576$	2.3.0.a.1, 4.6.0.e.1, 56.12.0.bp.1, 60.12.0.bk.1, 92.12.0.?, $\ldots$	$[(725, 201)]$
72450.f2	72450m1	72450.f	72450m	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ - 2^{4} \cdot 3^{9} \cdot 5^{3} \cdot 7^{2} \cdot 23^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.4	2B	$19320$	$48$	$1$	$0.382080471$	$1$	$11$	$442368$	$1.668922$	$-38638468208943/219395344$	$0.98940$	$4.11154$	$[1, -1, 0, -95082, 11363876]$	$y^2+xy=x^3-x^2-95082x+11363876$	2.3.0.a.1, 4.6.0.e.1, 28.12.0.n.1, 30.6.0.a.1, 60.12.0.bj.1, $\ldots$	$[(104, 1558)]$
72450.g1	72450ba2	72450.g	72450ba	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ 2^{7} \cdot 3^{6} \cdot 5^{6} \cdot 7^{2} \cdot 23^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.6	2B	$56$	$12$	$0$	$1$	$1$	$0$	$774144$	$1.874779$	$24553362849625/1755162752$	$0.94866$	$4.20710$	$[1, -1, 0, -136242, -18087084]$	$y^2+xy=x^3-x^2-136242x-18087084$	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[]$
72450.g2	72450ba1	72450.g	72450ba	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ - 2^{14} \cdot 3^{6} \cdot 5^{6} \cdot 7 \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.1	2B	$56$	$12$	$0$	$1$	$1$	$1$	$387072$	$1.528206$	$4533086375/60669952$	$0.94157$	$3.71558$	$[1, -1, 0, 7758, -1239084]$	$y^2+xy=x^3-x^2+7758x-1239084$	2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1	$[]$
72450.h1	72450d1	72450.h	72450d	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ 2^{4} \cdot 3^{3} \cdot 5^{9} \cdot 7^{2} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$9660$	$12$	$0$	$0.594994029$	$1$	$9$	$110592$	$1.021198$	$14295828483/2254000$	$0.83822$	$3.24697$	$[1, -1, 0, -3792, 77616]$	$y^2+xy=x^3-x^2-3792x+77616$	2.3.0.a.1, 84.6.0.?, 690.6.0.?, 3220.6.0.?, 9660.12.0.?	$[(4, 248)]$
72450.h2	72450d2	72450.h	72450d	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ - 2^{2} \cdot 3^{3} \cdot 5^{12} \cdot 7 \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1.189988058$	$1$	$6$	$221184$	$1.367771$	$79119341757/231437500$	$0.97367$	$3.52496$	$[1, -1, 0, 6708, 424116]$	$y^2+xy=x^3-x^2+6708x+424116$	2.3.0.a.1, 84.6.0.?, 1380.6.0.?, 3220.6.0.?, 9660.12.0.?	$[(39, 843)]$
72450.i1	72450c2	72450.i	72450c	$2$	$3$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ - 2^{4} \cdot 3^{9} \cdot 5^{10} \cdot 7^{9} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$4830$	$16$	$0$	$21.29333254$	$1$	$0$	$4043520$	$2.814674$	$-17665842966075/14850127376$	$0.95488$	$5.12764$	$[1, -1, 0, -3131367, -3339325459]$	$y^2+xy=x^3-x^2-3131367x-3339325459$	3.4.0.a.1, 15.8.0-3.a.1.1, 966.8.0.?, 4830.16.0.?	$[(12336556954/2305, 520210912294573/2305)]$
72450.i2	72450c1	72450.i	72450c	$2$	$3$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ - 2^{12} \cdot 3^{3} \cdot 5^{10} \cdot 7^{3} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$4830$	$16$	$0$	$7.097777513$	$1$	$0$	$1347840$	$2.265369$	$13568486147325/17093758976$	$0.96103$	$4.44942$	$[1, -1, 0, 318633, 75024541]$	$y^2+xy=x^3-x^2+318633x+75024541$	3.4.0.a.1, 15.8.0-3.a.1.2, 966.8.0.?, 4830.16.0.?	$[(-5026/5, 222133/5)]$
72450.j1	72450b1	72450.j	72450b	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ 2^{4} \cdot 3^{9} \cdot 5^{11} \cdot 7 \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1.295366638$	$1$	$7$	$737280$	$2.003349$	$8493409990827/185150000$	$0.89967$	$4.40675$	$[1, -1, 0, -286917, 58100741]$	$y^2+xy=x^3-x^2-286917x+58100741$	2.3.0.a.1, 210.6.0.?, 276.6.0.?, 3220.6.0.?, 9660.12.0.?	$[(254, 1123)]$
72450.j2	72450b2	72450.j	72450b	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ - 2^{2} \cdot 3^{9} \cdot 5^{16} \cdot 7^{2} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$9660$	$12$	$0$	$2.590733276$	$1$	$4$	$1474560$	$2.349922$	$4716275733/44023437500$	$1.02223$	$4.60266$	$[1, -1, 0, 23583, 177022241]$	$y^2+xy=x^3-x^2+23583x+177022241$	2.3.0.a.1, 276.6.0.?, 420.6.0.?, 3220.6.0.?, 9660.12.0.?	$[(-311, 11968)]$
72450.k1	72450l2	72450.k	72450l	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ 2^{3} \cdot 3^{3} \cdot 5^{9} \cdot 7^{8} \cdot 23 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2760$	$12$	$0$	$10.86452591$	$1$	$8$	$737280$	$2.025196$	$89332607016927/1060723384$	$1.05314$	$4.45945$	$[1, -1, 0, -349242, 78707916]$	$y^2+xy=x^3-x^2-349242x+78707916$	2.3.0.a.1, 60.6.0.c.1, 184.6.0.?, 2760.12.0.?	$[(219, 3453), (-531, 10953)]$
72450.k2	72450l1	72450.k	72450l	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ - 2^{6} \cdot 3^{3} \cdot 5^{9} \cdot 7^{4} \cdot 23^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2760$	$12$	$0$	$2.716131479$	$1$	$15$	$368640$	$1.678623$	$-160103007/81288256$	$1.13309$	$3.88272$	$[1, -1, 0, -4242, 3152916]$	$y^2+xy=x^3-x^2-4242x+3152916$	2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.?	$[(-87, 1734), (60, 1734)]$
72450.l1	72450bg2	72450.l	72450bg	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ 2 \cdot 3^{8} \cdot 5^{6} \cdot 7^{4} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.6	2B	$184$	$12$	$0$	$2.079516820$	$1$	$6$	$245760$	$1.457066$	$42180533641/22862322$	$1.12204$	$3.63817$	$[1, -1, 0, -16317, 206091]$	$y^2+xy=x^3-x^2-16317x+206091$	2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.?	$[(123, 159)]$
72450.l2	72450bg1	72450.l	72450bg	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ - 2^{2} \cdot 3^{10} \cdot 5^{6} \cdot 7^{2} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.1	2B	$184$	$12$	$0$	$1.039758410$	$1$	$9$	$122880$	$1.110491$	$590589719/365148$	$0.90611$	$3.25673$	$[1, -1, 0, 3933, 23841]$	$y^2+xy=x^3-x^2+3933x+23841$	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[(69, 753)]$
72450.m1	72450bf2	72450.m	72450bf	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ 2 \cdot 3^{16} \cdot 5^{8} \cdot 7^{2} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1.820656063$	$1$	$6$	$737280$	$1.879343$	$8341959848041/3327411150$	$0.91008$	$4.11063$	$[1, -1, 0, -95067, -6265409]$	$y^2+xy=x^3-x^2-95067x-6265409$	2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.?	$[(-85, 1136)]$
72450.m2	72450bf1	72450.m	72450bf	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ 2^{2} \cdot 3^{11} \cdot 5^{7} \cdot 7 \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$19320$	$12$	$0$	$0.910328031$	$1$	$9$	$368640$	$1.532770$	$789145184521/17996580$	$0.87547$	$3.89991$	$[1, -1, 0, -43317, 3411841]$	$y^2+xy=x^3-x^2-43317x+3411841$	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[(65, 899)]$
72450.n1	72450y2	72450.n	72450y	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ 2^{5} \cdot 3^{8} \cdot 5^{8} \cdot 7^{10} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$	$0$	$2457600$	$2.667801$	$85486955243540761/46777901234400$	$0.98660$	$4.93586$	$[1, -1, 0, -2064942, -265990284]$	$y^2+xy=x^3-x^2-2064942x-265990284$	2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.?	$[]$
72450.n2	72450y1	72450.n	72450y	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ 2^{10} \cdot 3^{7} \cdot 5^{7} \cdot 7^{5} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$	$1$	$1228800$	$2.321228$	$18374873741826841/136564270080$	$0.94369$	$4.79847$	$[1, -1, 0, -1236942, 526405716]$	$y^2+xy=x^3-x^2-1236942x+526405716$	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[]$
72450.o1	72450f1	72450.o	72450f	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ - 2^{7} \cdot 3^{3} \cdot 5^{6} \cdot 7^{3} \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$3864$	$2$	$0$	$1$	$1$	$0$	$94080$	$0.913812$	$212776173/1009792$	$1.15280$	$3.04740$	$[1, -1, 0, 933, -29659]$	$y^2+xy=x^3-x^2+933x-29659$	3864.2.0.?	$[]$
72450.p1	72450u3	72450.p	72450u	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ 2^{6} \cdot 3^{7} \cdot 5^{7} \cdot 7^{6} \cdot 23^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$19320$	$96$	$1$	$1$	$1$	$1$	$1658880$	$2.375183$	$2662558086295801/1374177967680$	$0.96075$	$4.62586$	$[1, -1, 0, -649692, 66451216]$	$y^2+xy=x^3-x^2-649692x+66451216$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 30.24.0-6.a.1.2, $\ldots$	$[]$
72450.p2	72450u1	72450.p	72450u	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ 2^{2} \cdot 3^{9} \cdot 5^{9} \cdot 7^{2} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$19320$	$96$	$1$	$1$	$1$	$1$	$552960$	$1.825876$	$463702796512201/15214500$	$0.92207$	$4.46967$	$[1, -1, 0, -362817, -84023159]$	$y^2+xy=x^3-x^2-362817x-84023159$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 30.24.0-6.a.1.1, $\ldots$	$[]$
72450.p3	72450u2	72450.p	72450u	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ - 2 \cdot 3^{12} \cdot 5^{12} \cdot 7 \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$19320$	$96$	$1$	$1$	$1$	$0$	$1105920$	$2.172447$	$-405897921250921/84358968750$	$0.92574$	$4.48520$	$[1, -1, 0, -347067, -91661909]$	$y^2+xy=x^3-x^2-347067x-91661909$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 30.24.0-6.a.1.1, $\ldots$	$[]$
72450.p4	72450u4	72450.p	72450u	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ - 2^{3} \cdot 3^{8} \cdot 5^{8} \cdot 7^{3} \cdot 23^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$19320$	$96$	$1$	$1$	$1$	$0$	$3317760$	$2.721756$	$140574743422291079/91397357868600$	$0.98167$	$4.98030$	$[1, -1, 0, 2437308, 514066216]$	$y^2+xy=x^3-x^2+2437308x+514066216$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 30.24.0-6.a.1.2, $\ldots$	$[]$
72450.q1	72450bd2	72450.q	72450bd	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ 2^{3} \cdot 3^{10} \cdot 5^{10} \cdot 7^{2} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1.261140457$	$1$	$6$	$589824$	$1.864141$	$94376601570889/456435000$	$0.91173$	$4.32742$	$[1, -1, 0, -213417, 37842741]$	$y^2+xy=x^3-x^2-213417x+37842741$	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(159, 2733)]$
72450.q2	72450bd1	72450.q	72450bd	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ - 2^{6} \cdot 3^{8} \cdot 5^{8} \cdot 7 \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1288$	$12$	$0$	$2.522280914$	$1$	$5$	$294912$	$1.517567$	$-2565726409/53323200$	$1.02198$	$3.71045$	$[1, -1, 0, -6417, 1203741]$	$y^2+xy=x^3-x^2-6417x+1203741$	2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.?	$[(58, 983)]$
72450.r1	72450be4	72450.r	72450be	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ 2^{15} \cdot 3^{10} \cdot 5^{18} \cdot 7^{6} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$19320$	$96$	$1$	$18.47529126$	$1$	$0$	$53084160$	$4.119812$	$3029968325354577848895529/1753440696000000000000$	$1.13743$	$6.48925$	$[1, -1, 0, -678298167, -18483604259]$	$y^2+xy=x^3-x^2-678298167x-18483604259$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 28.6.0.c.1, $\ldots$	$[(20847737279/886, 572037809229653/886)]$
72450.r2	72450be2	72450.r	72450be	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ 2^{5} \cdot 3^{18} \cdot 5^{10} \cdot 7^{2} \cdot 23^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$19320$	$96$	$1$	$6.158430423$	$1$	$0$	$17694720$	$3.570507$	$986396822567235411402169/6336721794060000$	$1.01331$	$6.38896$	$[1, -1, 0, -466614792, -3879452132384]$	$y^2+xy=x^3-x^2-466614792x-3879452132384$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 28.6.0.c.1, $\ldots$	$[(101831/2, 6780919/2)]$
72450.r3	72450be1	72450.r	72450be	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ - 2^{10} \cdot 3^{12} \cdot 5^{8} \cdot 7 \cdot 23^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$19320$	$96$	$1$	$12.31686084$	$1$	$1$	$8847360$	$3.223934$	$-227196402372228188089/19338934824115200$	$0.98736$	$5.65274$	$[1, -1, 0, -28602792, -63053576384]$	$y^2+xy=x^3-x^2-28602792x-63053576384$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 14.6.0.b.1, 15.8.0-3.a.1.1, $\ldots$	$[(17160144/5, 71040456568/5)]$
72450.r4	72450be3	72450.r	72450be	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ - 2^{30} \cdot 3^{8} \cdot 5^{12} \cdot 7^{3} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$19320$	$96$	$1$	$36.95058253$	$1$	$1$	$26542080$	$3.773239$	$47342661265381757089751/27397579603968000000$	$1.13273$	$6.11761$	$[1, -1, 0, 169573833, -2374036259]$	$y^2+xy=x^3-x^2+169573833x-2374036259$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 14.6.0.b.1, 15.8.0-3.a.1.2, $\ldots$	$[(3325123974997721/3568808, 9299857462599432405981841/3568808)]$
72450.s1	72450k2	72450.s	72450k	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ 2^{2} \cdot 3^{9} \cdot 5^{9} \cdot 7 \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1$	$1$	$0$	$675840$	$1.914505$	$371850068871/14812$	$0.89674$	$4.55864$	$[1, -1, 0, -505617, 138504041]$	$y^2+xy=x^3-x^2-505617x+138504041$	2.3.0.a.1, 210.6.0.?, 644.6.0.?, 1380.6.0.?, 9660.12.0.?	$[]$
72450.s2	72450k1	72450.s	72450k	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ 2^{4} \cdot 3^{9} \cdot 5^{9} \cdot 7^{2} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1$	$1$	$1$	$337920$	$1.567930$	$104487111/18032$	$0.79656$	$3.82793$	$[1, -1, 0, -33117, 1951541]$	$y^2+xy=x^3-x^2-33117x+1951541$	2.3.0.a.1, 420.6.0.?, 644.6.0.?, 690.6.0.?, 9660.12.0.?	$[]$
72450.t1	72450v1	72450.t	72450v	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ - 2^{6} \cdot 3^{7} \cdot 5^{10} \cdot 7 \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$966$	$2$	$0$	$1$	$1$	$0$	$288000$	$1.478367$	$-179726425/30912$	$0.82413$	$3.74895$	$[1, -1, 0, -22617, -1485459]$	$y^2+xy=x^3-x^2-22617x-1485459$	966.2.0.?	$[]$
72450.u1	72450w1	72450.u	72450w	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ 2^{4} \cdot 3^{8} \cdot 5^{8} \cdot 7 \cdot 23 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3220$	$12$	$0$	$3.339060953$	$1$	$15$	$147456$	$1.157827$	$1439069689/579600$	$0.82825$	$3.33632$	$[1, -1, 0, -5292, -80384]$	$y^2+xy=x^3-x^2-5292x-80384$	2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.?	$[(84, 208), (-36, 268)]$
72450.u2	72450w2	72450.u	72450w	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ - 2^{2} \cdot 3^{10} \cdot 5^{7} \cdot 7^{2} \cdot 23^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3220$	$12$	$0$	$0.834765238$	$1$	$28$	$294912$	$1.504402$	$49471280711/41992020$	$0.87372$	$3.65242$	$[1, -1, 0, 17208, -597884]$	$y^2+xy=x^3-x^2+17208x-597884$	2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.?	$[(234, 3908), (59, 758)]$
72450.v1	72450x2	72450.v	72450x	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ 2 \cdot 3^{12} \cdot 5^{12} \cdot 7^{2} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$	$0$	$884736$	$2.040890$	$44365623586201/25674468750$	$1.10875$	$4.25997$	$[1, -1, 0, -165942, 87966]$	$y^2+xy=x^3-x^2-165942x+87966$	2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.?	$[]$
72450.v2	72450x1	72450.v	72450x	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ 2^{2} \cdot 3^{9} \cdot 5^{9} \cdot 7 \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$	$1$	$442368$	$1.694315$	$14457238157881/49990500$	$0.89834$	$4.15977$	$[1, -1, 0, -114192, 14836716]$	$y^2+xy=x^3-x^2-114192x+14836716$	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[]$
72450.w1	72450a1	72450.w	72450a	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ 2^{32} \cdot 3^{3} \cdot 5^{9} \cdot 7^{7} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$9660$	$12$	$0$	$14.11627230$	$1$	$1$	$24772608$	$3.681713$	$489781415227546051766883/233890092903563264000$	$1.04124$	$6.03188$	$[1, -1, 0, -123165042, -219939523884]$	$y^2+xy=x^3-x^2-123165042x-219939523884$	2.3.0.a.1, 210.6.0.?, 276.6.0.?, 3220.6.0.?, 9660.12.0.?	$[(179829021/37, 2399440105674/37)]$
72450.w2	72450a2	72450.w	72450a	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ - 2^{16} \cdot 3^{3} \cdot 5^{12} \cdot 7^{14} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$9660$	$12$	$0$	$28.23254461$	$1$	$0$	$49545216$	$4.028290$	$22649115256119592694355357/15973509811739648000000$	$1.05244$	$6.37448$	$[1, -1, 0, 442082958, -1673192131884]$	$y^2+xy=x^3-x^2+442082958x-1673192131884$	2.3.0.a.1, 276.6.0.?, 420.6.0.?, 3220.6.0.?, 9660.12.0.?	$[(94430727563629/26899, 927853743190328957702/26899)]$
72450.x1	72450bj2	72450.x	72450bj	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ 2 \cdot 3^{6} \cdot 5^{6} \cdot 7^{6} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1.537286213$	$1$	$6$	$393216$	$1.507030$	$1494447319737/5411854$	$1.04645$	$3.95697$	$[1, -1, 0, -53592, -4746934]$	$y^2+xy=x^3-x^2-53592x-4746934$	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(-131, 178)]$
72450.x2	72450bj1	72450.x	72450bj	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ - 2^{2} \cdot 3^{6} \cdot 5^{6} \cdot 7^{3} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1288$	$12$	$0$	$3.074572427$	$1$	$5$	$196608$	$1.160458$	$-60698457/725788$	$0.93405$	$3.32825$	$[1, -1, 0, -1842, -141184]$	$y^2+xy=x^3-x^2-1842x-141184$	2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.?	$[(110, 934)]$

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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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