LMFDB - Elliptic curves over $\Q$ of conductor 82800

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Conductor	Discriminant	j-invariant	Rank

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Isogeny class degree	Cyclic isogeny degree	Isogeny class size	Integral points

Analytic order of Ш	$p\ $div$\ $\|Ш\|	Regulator	Reduction	Faltings height

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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	$Ш_{\textrm{an}}$	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
82800.a1	82800ew1	82800.a	82800ew	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ 2^{14} \cdot 3^{8} \cdot 5^{10} \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$92$	$2$	$0$	$1$	$1$	$0$	$921600$	$1.850531$	$2941225/828$	$0.95498$	$4.05311$	$[0, 0, 0, -91875, 7681250]$	$y^2=x^3-91875x+7681250$	92.2.0.?	$[]$
82800.b1	82800ev1	82800.b	82800ev	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{12} \cdot 3^{14} \cdot 5^{9} \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$230$	$2$	$0$	$1$	$1$	$0$	$1474560$	$2.169960$	$-111701610496/18862875$	$0.93587$	$4.43840$	$[0, 0, 0, -361200, 94966000]$	$y^2=x^3-361200x+94966000$	230.2.0.?	$[]$
82800.c1	82800eu1	82800.c	82800eu	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{8} \cdot 3^{20} \cdot 5^{19} \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$230$	$2$	$0$	$1$	$1$	$0$	$33546240$	$3.791279$	$194879272239195815936/134287459716796875$	$1.17188$	$6.05010$	$[0, 0, 0, 172561200, 381042249500]$	$y^2=x^3+172561200x+381042249500$	230.2.0.?	$[]$
82800.d1	82800fx2	82800.d	82800fx	$2$	$3$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{51} \cdot 3^{9} \cdot 5^{4} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$552$	$16$	$0$	$7.023894926$	$1$	$2$	$12939264$	$3.374340$	$-24923353462910020825/341398360424448$	$1.04665$	$5.83114$	$[0, 0, 0, -74923275, -252553409350]$	$y^2=x^3-74923275x-252553409350$	3.4.0.a.1, 12.8.0-3.a.1.1, 552.16.0.?	$[(10351, 284526)]$
82800.d2	82800fx1	82800.d	82800fx	$2$	$3$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{25} \cdot 3^{15} \cdot 5^{4} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$552$	$16$	$0$	$2.341298308$	$1$	$2$	$4313088$	$2.825035$	$2173899265153175/1961845235712$	$1.03343$	$5.00367$	$[0, 0, 0, 3322725, -1743680950]$	$y^2=x^3+3322725x-1743680950$	3.4.0.a.1, 12.8.0-3.a.1.2, 552.16.0.?	$[(4951, 368874)]$
82800.e1	82800ex1	82800.e	82800ex	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ 2^{12} \cdot 3^{22} \cdot 5^{2} \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$92$	$2$	$0$	$1$	$1$	$0$	$983040$	$1.935503$	$2534167381585/990074583$	$0.97681$	$4.12296$	$[0, 0, 0, -119595, 9073690]$	$y^2=x^3-119595x+9073690$	92.2.0.?	$[]$
82800.f1	82800do1	82800.f	82800do	$2$	$3$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{4} \cdot 3^{6} \cdot 5^{10} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$1380$	$16$	$0$	$4.233483742$	$1$	$2$	$414720$	$1.587444$	$-687518464/7604375$	$0.91097$	$3.74162$	$[0, 0, 0, -10425, 1837375]$	$y^2=x^3-10425x+1837375$	3.4.0.a.1, 46.2.0.a.1, 60.8.0-3.a.1.1, 138.8.0.?, 1380.16.0.?	$[(270, 4325)]$
82800.f2	82800do2	82800.f	82800do	$2$	$3$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{4} \cdot 3^{6} \cdot 5^{18} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$1380$	$16$	$0$	$12.70045122$	$1$	$0$	$1244160$	$2.136749$	$489277573376/5615234375$	$1.14781$	$4.31577$	$[0, 0, 0, 93075, -47428625]$	$y^2=x^3+93075x-47428625$	3.4.0.a.1, 46.2.0.a.1, 60.8.0-3.a.1.2, 138.8.0.?, 1380.16.0.?	$[(824670/53, 339499525/53)]$
82800.g1	82800bc4	82800.g	82800bc	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ 2^{10} \cdot 3^{9} \cdot 5^{6} \cdot 23^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$2760$	$48$	$0$	$1$	$1$	$1$	$786432$	$1.973097$	$45989074372/7555707$	$0.96263$	$4.21500$	$[0, 0, 0, -169275, 22684250]$	$y^2=x^3-169275x+22684250$	2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.2, 60.24.0-12.h.1.2, $\ldots$	$[]$
82800.g2	82800bc2	82800.g	82800bc	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ 2^{8} \cdot 3^{12} \cdot 5^{6} \cdot 23^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$1380$	$48$	$0$	$1$	$1$	$3$	$393216$	$1.626522$	$4135597648/385641$	$1.11158$	$3.87987$	$[0, 0, 0, -47775, -3681250]$	$y^2=x^3-47775x-3681250$	2.6.0.a.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 60.24.0-12.a.1.1, 92.12.0.?, $\ldots$	$[]$
82800.g3	82800bc1	82800.g	82800bc	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ 2^{4} \cdot 3^{9} \cdot 5^{6} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$2760$	$48$	$0$	$1$	$1$	$1$	$196608$	$1.279949$	$61604313088/621$	$1.06623$	$3.87356$	$[0, 0, 0, -46650, -3878125]$	$y^2=x^3-46650x-3878125$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.ba.1, 120.24.0.?, $\ldots$	$[]$
82800.g4	82800bc3	82800.g	82800bc	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{10} \cdot 3^{18} \cdot 5^{6} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$2760$	$48$	$0$	$1$	$1$	$1$	$786432$	$1.973097$	$1640689628/12223143$	$0.98661$	$4.13915$	$[0, 0, 0, 55725, -17446750]$	$y^2=x^3+55725x-17446750$	2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 40.12.0-4.c.1.5, 46.6.0.a.1, $\ldots$	$[]$
82800.h1	82800br1	82800.h	82800br	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$46$	$2$	$0$	$1.293220388$	$1$	$2$	$61440$	$0.613906$	$-562432/23$	$0.75822$	$2.85488$	$[0, 0, 0, -975, 12125]$	$y^2=x^3-975x+12125$	46.2.0.a.1	$[(20, 25)]$
82800.i1	82800es3	82800.i	82800es	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ 2^{4} \cdot 3^{7} \cdot 5^{8} \cdot 23^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1380$	$96$	$1$	$1$	$1$	$1$	$1161216$	$2.179474$	$12444451776495616/912525$	$1.07101$	$4.95232$	$[0, 0, 0, -2737200, -1743042125]$	$y^2=x^3-2737200x-1743042125$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 20.6.0.b.1, $\ldots$	$[]$
82800.i2	82800es4	82800.i	82800es	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{8} \cdot 3^{8} \cdot 5^{7} \cdot 23^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1380$	$96$	$1$	$1$	$1$	$1$	$2322432$	$2.526047$	$-772993034343376/6661615005$	$1.03684$	$4.95308$	$[0, 0, 0, -2731575, -1750562750]$	$y^2=x^3-2731575x-1750562750$	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 20.6.0.a.1, 60.48.0-60.o.1.1, $\ldots$	$[]$
82800.i3	82800es1	82800.i	82800es	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ 2^{4} \cdot 3^{9} \cdot 5^{12} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1380$	$96$	$1$	$1$	$1$	$1$	$387072$	$1.630167$	$31238127616/9703125$	$1.02129$	$3.81359$	$[0, 0, 0, -37200, -1879625]$	$y^2=x^3-37200x-1879625$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 20.6.0.b.1, $\ldots$	$[]$
82800.i4	82800es2	82800.i	82800es	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{8} \cdot 3^{12} \cdot 5^{9} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$1380$	$96$	$1$	$1$	$1$	$1$	$774144$	$1.976740$	$41957807024/48205125$	$0.90940$	$4.08448$	$[0, 0, 0, 103425, -12707750]$	$y^2=x^3+103425x-12707750$	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 20.6.0.a.1, 60.48.0-60.o.1.2, $\ldots$	$[]$
82800.j1	82800cl2	82800.j	82800cl	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ 2^{13} \cdot 3^{9} \cdot 5^{8} \cdot 23^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2760$	$12$	$0$	$1.695111739$	$1$	$21$	$663552$	$1.904598$	$246491883/26450$	$0.97168$	$4.16672$	$[0, 0, 0, -141075, 18407250]$	$y^2=x^3-141075x+18407250$	2.3.0.a.1, 24.6.0.a.1, 920.6.0.?, 1380.6.0.?, 2760.12.0.?	$[(385, 4600), (145, 1000)]$
82800.j2	82800cl1	82800.j	82800cl	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ 2^{14} \cdot 3^{9} \cdot 5^{7} \cdot 23 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2760$	$12$	$0$	$6.780446956$	$1$	$13$	$331776$	$1.558025$	$3176523/460$	$1.07306$	$3.78245$	$[0, 0, 0, -33075, -2004750]$	$y^2=x^3-33075x-2004750$	2.3.0.a.1, 24.6.0.d.1, 690.6.0.?, 920.6.0.?, 2760.12.0.?	$[(-81, 378), (-119, 496)]$
82800.k1	82800cs2	82800.k	82800cs	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ 2^{13} \cdot 3^{3} \cdot 5^{8} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2760$	$12$	$0$	$1.366728398$	$1$	$7$	$221184$	$1.355293$	$246491883/26450$	$0.97168$	$3.58464$	$[0, 0, 0, -15675, -681750]$	$y^2=x^3-15675x-681750$	2.3.0.a.1, 24.6.0.a.1, 920.6.0.?, 1380.6.0.?, 2760.12.0.?	$[(-65, 250)]$
82800.k2	82800cs1	82800.k	82800cs	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ 2^{14} \cdot 3^{3} \cdot 5^{7} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2760$	$12$	$0$	$0.683364199$	$1$	$9$	$110592$	$1.008718$	$3176523/460$	$1.07306$	$3.20037$	$[0, 0, 0, -3675, 74250]$	$y^2=x^3-3675x+74250$	2.3.0.a.1, 24.6.0.d.1, 690.6.0.?, 920.6.0.?, 2760.12.0.?	$[(15, 150)]$
82800.l1	82800bq4	82800.l	82800bq	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ 2^{11} \cdot 3^{7} \cdot 5^{6} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$2760$	$48$	$0$	$2.159997046$	$1$	$5$	$524288$	$1.816683$	$1378334691074/69$	$1.07977$	$4.57647$	$[0, 0, 0, -662475, 207540250]$	$y^2=x^3-662475x+207540250$	2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0-4.c.1.2, 120.24.0.?, $\ldots$	$[(479, 342)]$
82800.l2	82800bq3	82800.l	82800bq	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ 2^{11} \cdot 3^{7} \cdot 5^{6} \cdot 23^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$2760$	$48$	$0$	$0.539999261$	$1$	$11$	$524288$	$1.816683$	$1522096994/839523$	$1.08605$	$3.97523$	$[0, 0, 0, -68475, -1493750]$	$y^2=x^3-68475x-1493750$	2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 40.12.0-4.c.1.1, 60.12.0-4.c.1.2, $\ldots$	$[(-135, 2300)]$
82800.l3	82800bq2	82800.l	82800bq	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ 2^{10} \cdot 3^{8} \cdot 5^{6} \cdot 23^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$2760$	$48$	$0$	$1.079998523$	$1$	$15$	$262144$	$1.470110$	$676449508/4761$	$0.99194$	$3.84241$	$[0, 0, 0, -41475, 3231250]$	$y^2=x^3-41475x+3231250$	2.6.0.a.1, 24.12.0.b.1, 40.12.0-2.a.1.1, 60.12.0-2.a.1.1, 92.12.0.?, $\ldots$	$[(65, 900)]$
82800.l4	82800bq1	82800.l	82800bq	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{8} \cdot 3^{10} \cdot 5^{6} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$2760$	$48$	$0$	$2.159997046$	$1$	$5$	$131072$	$1.123537$	$-35152/1863$	$0.89850$	$3.24871$	$[0, 0, 0, -975, 112750]$	$y^2=x^3-975x+112750$	2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0-4.c.1.4, 46.6.0.a.1, $\ldots$	$[(26, 324)]$
82800.m1	82800cm4	82800.m	82800cm	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ 2^{15} \cdot 3^{9} \cdot 5^{8} \cdot 23^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2760$	$96$	$1$	$1$	$1$	$1$	$5971968$	$3.062145$	$248656466619387/29607177800$	$1.02580$	$5.38750$	$[0, 0, 0, -14148675, 18255773250]$	$y^2=x^3-14148675x+18255773250$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.ca.1, 60.24.0-6.a.1.2, $\ldots$	$[]$
82800.m2	82800cm3	82800.m	82800cm	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ 2^{18} \cdot 3^{9} \cdot 5^{7} \cdot 23^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2760$	$96$	$1$	$1$	$1$	$1$	$2985984$	$2.715572$	$226568219476347/3893440$	$0.98418$	$5.37928$	$[0, 0, 0, -13716675, 19553069250]$	$y^2=x^3-13716675x+19553069250$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.cd.1, 60.24.0-6.a.1.2, $\ldots$	$[]$
82800.m3	82800cm2	82800.m	82800cm	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ 2^{21} \cdot 3^{3} \cdot 5^{12} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2760$	$96$	$1$	$1$	$1$	$1$	$1990656$	$2.512840$	$2403250125069123/4232000000$	$1.11890$	$5.00573$	$[0, 0, 0, -3348675, -2355026750]$	$y^2=x^3-3348675x-2355026750$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.ca.1, 60.24.0-6.a.1.4, $\ldots$	$[]$
82800.m4	82800cm1	82800.m	82800cm	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ 2^{30} \cdot 3^{3} \cdot 5^{9} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2760$	$96$	$1$	$1$	$1$	$1$	$995328$	$2.166264$	$1355469437763/753664000$	$1.01183$	$4.34516$	$[0, 0, 0, -276675, -11090750]$	$y^2=x^3-276675x-11090750$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.cd.1, 60.24.0-6.a.1.4, $\ldots$	$[]$
82800.n1	82800ct4	82800.n	82800ct	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ 2^{21} \cdot 3^{9} \cdot 5^{12} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2760$	$96$	$1$	$5.485823014$	$1$	$1$	$5971968$	$3.062145$	$2403250125069123/4232000000$	$1.11890$	$5.58782$	$[0, 0, 0, -30138075, 63585722250]$	$y^2=x^3-30138075x+63585722250$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.ca.1, 60.24.0-6.a.1.2, $\ldots$	$[(11865/2, 135675/2)]$
82800.n2	82800ct3	82800.n	82800ct	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ 2^{30} \cdot 3^{9} \cdot 5^{9} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2760$	$96$	$1$	$10.97164602$	$1$	$1$	$2985984$	$2.715572$	$1355469437763/753664000$	$1.01183$	$4.92725$	$[0, 0, 0, -2490075, 299450250]$	$y^2=x^3-2490075x+299450250$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.cd.1, 60.24.0-6.a.1.2, $\ldots$	$[(-123215/12, 73386775/12)]$
82800.n3	82800ct2	82800.n	82800ct	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ 2^{15} \cdot 3^{3} \cdot 5^{8} \cdot 23^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2760$	$96$	$1$	$1.828607671$	$1$	$3$	$1990656$	$2.512840$	$248656466619387/29607177800$	$1.02580$	$4.80541$	$[0, 0, 0, -1572075, -676139750]$	$y^2=x^3-1572075x-676139750$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.ca.1, 60.24.0-6.a.1.4, $\ldots$	$[(-870, 5750)]$
82800.n4	82800ct1	82800.n	82800ct	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ 2^{18} \cdot 3^{3} \cdot 5^{7} \cdot 23^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2760$	$96$	$1$	$3.657215343$	$1$	$3$	$995328$	$2.166264$	$226568219476347/3893440$	$0.98418$	$4.79719$	$[0, 0, 0, -1524075, -724187750]$	$y^2=x^3-1524075x-724187750$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.cd.1, 60.24.0-6.a.1.4, $\ldots$	$[(5429, 388608)]$
82800.o1	82800dm2	82800.o	82800dm	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ 2^{17} \cdot 3^{6} \cdot 5^{6} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.6	2B	$184$	$12$	$0$	$8.105856405$	$1$	$3$	$614400$	$1.955263$	$545138290809/16928$	$1.08081$	$4.55577$	$[0, 0, 0, -612675, -184578750]$	$y^2=x^3-612675x-184578750$	2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.?	$[(19431, 2706354)]$
82800.o2	82800dm1	82800.o	82800dm	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{22} \cdot 3^{6} \cdot 5^{6} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.1	2B	$184$	$12$	$0$	$4.052928202$	$1$	$5$	$307200$	$1.608690$	$-116930169/23552$	$1.03422$	$3.83620$	$[0, 0, 0, -36675, -3138750]$	$y^2=x^3-36675x-3138750$	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[(231, 846)]$
82800.p1	82800dn1	82800.p	82800dn	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$46$	$2$	$0$	$2.743668266$	$1$	$2$	$43008$	$0.532613$	$-6912/23$	$0.66890$	$2.62901$	$[0, 0, 0, -225, 3375]$	$y^2=x^3-225x+3375$	46.2.0.a.1	$[(70, 575)]$
82800.q1	82800et1	82800.q	82800et	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{19} \cdot 3^{6} \cdot 5^{2} \cdot 23^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$	$0$	$169344$	$1.117601$	$2109375/67712$	$1.22054$	$3.23978$	$[0, 0, 0, 1125, -107190]$	$y^2=x^3+1125x-107190$	8.2.0.a.1	$[]$
82800.r1	82800cf1	82800.r	82800cf	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{11} \cdot 3^{6} \cdot 5^{4} \cdot 23^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$	$0$	$109440$	$1.025229$	$-19450850/529$	$0.85398$	$3.31003$	$[0, 0, 0, -5475, -159550]$	$y^2=x^3-5475x-159550$	8.2.0.a.1	$[]$
82800.s1	82800fw1	82800.s	82800fw	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ 2^{8} \cdot 3^{16} \cdot 5^{4} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$92$	$2$	$0$	$2.441565281$	$1$	$2$	$230400$	$1.492401$	$35248450000/1358127$	$0.98922$	$3.78485$	$[0, 0, 0, -33375, -2267350]$	$y^2=x^3-33375x-2267350$	92.2.0.?	$[(-110, 270)]$
82800.t1	82800dk1	82800.t	82800dk	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{12} \cdot 3^{8} \cdot 5^{7} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$230$	$2$	$0$	$2.165702765$	$1$	$2$	$221184$	$1.311092$	$-262144/1035$	$0.88491$	$3.45276$	$[0, 0, 0, -4800, 358000]$	$y^2=x^3-4800x+358000$	230.2.0.?	$[(-55, 675)]$
82800.u1	82800x1	82800.u	82800x	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{8} \cdot 3^{16} \cdot 5^{11} \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$230$	$2$	$0$	$1$	$1$	$0$	$3686400$	$2.867023$	$190737654201344/2245153696875$	$1.02276$	$5.08978$	$[0, 0, 0, 1713300, 3796013500]$	$y^2=x^3+1713300x+3796013500$	230.2.0.?	$[]$
82800.v1	82800fi1	82800.v	82800fi	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ 2^{16} \cdot 3^{10} \cdot 5^{8} \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$92$	$2$	$0$	$1$	$1$	$0$	$737280$	$1.966970$	$1551443665/29808$	$0.89600$	$4.32238$	$[0, 0, 0, -253875, 48411250]$	$y^2=x^3-253875x+48411250$	92.2.0.?	$[]$
82800.w1	82800by1	82800.w	82800by	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ 2^{10} \cdot 3^{8} \cdot 5^{8} \cdot 23^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$92$	$2$	$0$	$6.387875214$	$1$	$2$	$1843200$	$2.381683$	$112985250820/57927087$	$0.96379$	$4.57862$	$[0, 0, 0, -667875, 70951250]$	$y^2=x^3-667875x+70951250$	92.2.0.?	$[(-709, 13714)]$
82800.x1	82800dj1	82800.x	82800dj	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{8} \cdot 3^{10} \cdot 5^{13} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$230$	$2$	$0$	$1.129521138$	$1$	$4$	$1032192$	$2.085800$	$-260956266496/145546875$	$0.96228$	$4.30547$	$[0, 0, 0, -190200, 44741500]$	$y^2=x^3-190200x+44741500$	230.2.0.?	$[(30, 6250)]$
82800.y1	82800dh1	82800.y	82800dh	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ 2^{12} \cdot 3^{10} \cdot 5^{10} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$92$	$2$	$0$	$4.728141326$	$1$	$2$	$2211840$	$2.543198$	$78605490625/985527$	$1.01365$	$4.95325$	$[0, 0, 0, -2746875, 1733206250]$	$y^2=x^3-2746875x+1733206250$	92.2.0.?	$[(871, 1206)]$
82800.z1	82800di1	82800.z	82800di	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ 2^{24} \cdot 3^{14} \cdot 5^{10} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$92$	$2$	$0$	$13.68989151$	$1$	$0$	$4423680$	$2.972263$	$1790712239425/618098688$	$0.98921$	$5.22929$	$[0, 0, 0, -7786875, 5313006250]$	$y^2=x^3-7786875x+5313006250$	92.2.0.?	$[(237911/43, 5221617966/43)]$
82800.ba1	82800bn1	82800.ba	82800bn	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{11} \cdot 3^{7} \cdot 5^{10} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$552$	$2$	$0$	$3.699601837$	$1$	$2$	$368640$	$1.622511$	$-781250/69$	$0.99786$	$3.88738$	$[0, 0, 0, -46875, -4193750]$	$y^2=x^3-46875x-4193750$	552.2.0.?	$[(281, 2196)]$
82800.bb1	82800ce1	82800.bb	82800ce	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{8} \cdot 3^{6} \cdot 5^{9} \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$230$	$2$	$0$	$1$	$1$	$0$	$168960$	$1.160036$	$1024/23$	$0.71982$	$3.28376$	$[0, 0, 0, 1500, 137500]$	$y^2=x^3+1500x+137500$	230.2.0.?	$[]$
82800.bc1	82800eo1	82800.bc	82800eo	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$92$	$2$	$0$	$1$	$1$	$0$	$27648$	$0.415653$	$393040/207$	$0.76468$	$2.49355$	$[0, 0, 0, -255, -470]$	$y^2=x^3-255x-470$	92.2.0.?	$[]$
82800.bd1	82800fv1	82800.bd	82800fv	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{12} \cdot 3^{7} \cdot 5^{8} \cdot 23^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$6$	$2$	$0$	$7.069973111$	$1$	$0$	$483840$	$1.917448$	$-6439567360/1587$	$0.99159$	$4.44810$	$[0, 0, 0, -408000, -100330000]$	$y^2=x^3-408000x-100330000$	6.2.0.a.1	$[(16369/4, 1505097/4)]$

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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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