LMFDB - Elliptic curves over $\Q$ of conductor 20400

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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	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
20400.a1	20400p1	20400.a	20400p	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ - 2^{4} \cdot 3 \cdot 5^{9} \cdot 17 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$510$	$2$	$0$	$1$	$1$		$0$	$15360$	$0.455228$	$87808/51$	$0.88354$	$2.88618$	$[0, -1, 0, 292, -213]$	$y^2=x^3-x^2+292x-213$	510.2.0.?	$[]$
20400.b1	20400c3	20400.b	20400c	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ 2^{11} \cdot 3^{3} \cdot 5^{7} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$2040$	$48$	$0$	$6.046188355$	$4$	$2$	$3$	$221184$	$2.014000$	$50700519510140162/2295$	$1.00161$	$5.61769$	$[0, -1, 0, -2448008, -1473421488]$	$y^2=x^3-x^2-2448008x-1473421488$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$	$[(3322, 164450)]$
20400.b2	20400c4	20400.b	20400c	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ 2^{11} \cdot 3^{12} \cdot 5^{10} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$2040$	$48$	$0$	$1.511547088$	$1$		$7$	$221184$	$2.014000$	$16981825082402/5646560625$	$0.97239$	$4.81135$	$[0, -1, 0, -170008, -17541488]$	$y^2=x^3-x^2-170008x-17541488$	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.?, $\ldots$	$[(-272, 2916)]$
20400.b3	20400c2	20400.b	20400c	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ 2^{10} \cdot 3^{6} \cdot 5^{8} \cdot 17^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$2040$	$48$	$0$	$3.023094177$	$1$		$9$	$110592$	$1.667427$	$24759905519524/5267025$	$0.95694$	$4.77950$	$[0, -1, 0, -153008, -22981488]$	$y^2=x^3-x^2-153008x-22981488$	2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 60.24.0-60.b.1.2, 136.12.0.?, $\ldots$	$[(-224, 52)]$
20400.b4	20400c1	20400.b	20400c	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{7} \cdot 17^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$2040$	$48$	$0$	$6.046188355$	$1$		$3$	$55296$	$1.320852$	$-17029316176/11275335$	$0.90021$	$3.98283$	$[0, -1, 0, -8508, -439488]$	$y^2=x^3-x^2-8508x-439488$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0-4.c.1.1, 30.6.0.a.1, $\ldots$	$[(788, 21944)]$
20400.c1	20400o1	20400.c	20400o	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ 2^{4} \cdot 3^{6} \cdot 5^{9} \cdot 17^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$1$	$1$		$1$	$149760$	$1.720516$	$29860725364736/3581577$	$1.00764$	$4.86584$	$[0, -1, 0, -203583, -35284338]$	$y^2=x^3-x^2-203583x-35284338$	2.3.0.a.1, 60.6.0.c.1, 170.6.0.?, 204.6.0.?, 1020.12.0.?	$[]$
20400.c2	20400o2	20400.c	20400o	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{9} \cdot 17^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$1$	$1$		$1$	$299520$	$2.067089$	$-1439609866256/651714363$	$0.96496$	$4.89791$	$[0, -1, 0, -186708, -41393088]$	$y^2=x^3-x^2-186708x-41393088$	2.3.0.a.1, 30.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[]$
20400.d1	20400bz1	20400.d	20400bz	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ - 2^{27} \cdot 3^{23} \cdot 5^{2} \cdot 17 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$408$	$2$	$0$	$1$	$1$		$0$	$1391040$	$2.885685$	$-192607474931043120625/52443022624653312$	$1.09001$	$5.90827$	$[0, -1, 0, -5628808, 6234990832]$	$y^2=x^3-x^2-5628808x+6234990832$	408.2.0.?	$[]$
20400.e1	20400cu2	20400.e	20400cu	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ 2^{16} \cdot 3^{2} \cdot 5^{9} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$1$	$1$		$1$	$307200$	$2.146755$	$337575153545189/2448$	$1.21783$	$5.66904$	$[0, -1, 0, -2901208, -1901059088]$	$y^2=x^3-x^2-2901208x-1901059088$	2.3.0.a.1, 60.6.0.c.1, 170.6.0.?, 204.6.0.?, 1020.12.0.?	$[]$
20400.e2	20400cu1	20400.e	20400cu	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ - 2^{20} \cdot 3 \cdot 5^{9} \cdot 17^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$1$	$1$		$1$	$153600$	$1.800180$	$-82256120549/221952$	$0.95304$	$4.83111$	$[0, -1, 0, -181208, -29699088]$	$y^2=x^3-x^2-181208x-29699088$	2.3.0.a.1, 30.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[]$
20400.f1	20400cv1	20400.f	20400cv	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ - 2^{13} \cdot 3^{3} \cdot 5^{8} \cdot 17 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$408$	$2$	$0$	$1$	$1$		$0$	$43200$	$1.017628$	$-121945/918$	$0.85539$	$3.58190$	$[0, -1, 0, -1208, 60912]$	$y^2=x^3-x^2-1208x+60912$	408.2.0.?	$[]$
20400.g1	20400ca3	20400.g	20400ca	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ 2^{15} \cdot 3^{2} \cdot 5^{14} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.11	2B	$680$	$48$	$0$	$1$	$1$		$1$	$442368$	$2.298401$	$30949975477232209/478125000$	$1.00249$	$5.63780$	$[0, -1, 0, -2616408, 1629795312]$	$y^2=x^3-x^2-2616408x+1629795312$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 40.24.0-8.m.1.4, 136.24.0.?, $\ldots$	$[]$
20400.g2	20400ca2	20400.g	20400ca	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ 2^{18} \cdot 3^{4} \cdot 5^{10} \cdot 17^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$680$	$48$	$0$	$1$	$1$		$3$	$221184$	$1.951826$	$8253429989329/936360000$	$0.96220$	$4.80849$	$[0, -1, 0, -168408, 23907312]$	$y^2=x^3-x^2-168408x+23907312$	2.6.0.a.1, 8.12.0.b.1, 20.12.0-2.a.1.1, 40.24.0-8.b.1.1, 68.12.0.b.1, $\ldots$	$[]$
20400.g3	20400ca1	20400.g	20400ca	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ 2^{24} \cdot 3^{2} \cdot 5^{8} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.11	2B	$680$	$48$	$0$	$1$	$1$		$1$	$110592$	$1.605251$	$114013572049/15667200$	$0.93207$	$4.37697$	$[0, -1, 0, -40408, -2716688]$	$y^2=x^3-x^2-40408x-2716688$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 20.12.0-4.c.1.1, 34.6.0.a.1, $\ldots$	$[]$
20400.g4	20400ca4	20400.g	20400ca	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ - 2^{15} \cdot 3^{8} \cdot 5^{8} \cdot 17^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.16	2B	$680$	$48$	$0$	$1$	$1$		$1$	$442368$	$2.298401$	$21464092074671/109596256200$	$1.00093$	$5.11210$	$[0, -1, 0, 231592, 119907312]$	$y^2=x^3-x^2+231592x+119907312$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.2, 40.24.0-8.d.1.2, $\ldots$	$[]$
20400.h1	20400i1	20400.h	20400i	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ - 2^{4} \cdot 3^{7} \cdot 5^{19} \cdot 17 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$510$	$2$	$0$	$1$	$1$		$0$	$419328$	$2.336948$	$3086803246205696/45384521484375$	$1.03320$	$5.16865$	$[0, -1, 0, 191092, 158777187]$	$y^2=x^3-x^2+191092x+158777187$	510.2.0.?	$[]$
20400.i1	20400cj1	20400.i	20400cj	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ - 2^{4} \cdot 3 \cdot 5^{13} \cdot 17 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$510$	$2$	$0$	$4.895742069$	$1$		$2$	$48384$	$1.278719$	$-12872772702976/3984375$	$0.94778$	$4.29453$	$[0, -1, 0, -30758, -2066613]$	$y^2=x^3-x^2-30758x-2066613$	510.2.0.?	$[(11077, 1165625)]$
20400.j1	20400b1	20400.j	20400b	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ - 2^{4} \cdot 3 \cdot 5^{7} \cdot 17 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$510$	$2$	$0$	$0.581445727$	$1$		$2$	$4608$	$0.176559$	$-256/255$	$0.82958$	$2.56223$	$[0, -1, 0, -8, 387]$	$y^2=x^3-x^2-8x+387$	510.2.0.?	$[(7, 25)]$
20400.k1	20400ci2	20400.k	20400ci	$2$	$5$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ 2^{13} \cdot 3 \cdot 5^{10} \cdot 17 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$5$	5.12.0.2	5B.4.2	$2040$	$48$	$1$	$5.129814228$	$1$		$0$	$432000$	$2.382656$	$3730569358698025/102$	$1.02324$	$6.07334$	$[0, -1, 0, -11050208, 14142198912]$	$y^2=x^3-x^2-11050208x+14142198912$	5.12.0.a.2, 20.24.0-5.a.2.2, 408.2.0.?, 2040.48.1.?	$[(47986/5, 1066/5)]$
20400.k2	20400ci1	20400.k	20400ci	$2$	$5$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ 2^{17} \cdot 3^{5} \cdot 5^{2} \cdot 17^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$5$	5.12.0.1	5B.4.1	$2040$	$48$	$1$	$1.025962845$	$1$		$4$	$86400$	$1.577938$	$19088138515945/11040808032$	$1.11667$	$4.24423$	$[0, -1, 0, -26048, -27648]$	$y^2=x^3-x^2-26048x-27648$	5.12.0.a.1, 20.24.0-5.a.1.2, 408.2.0.?, 2040.48.1.?	$[(-14, 578)]$
20400.l1	20400ch1	20400.l	20400ch	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ 2^{14} \cdot 3^{2} \cdot 5^{6} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.4	2B	$136$	$12$	$0$	$1.216194435$	$1$		$7$	$15360$	$0.734338$	$1771561/612$	$1.28490$	$3.26119$	$[0, -1, 0, -1008, -7488]$	$y^2=x^3-x^2-1008x-7488$	2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.?	$[(-24, 48)]$
20400.l2	20400ch2	20400.l	20400ch	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ - 2^{13} \cdot 3^{4} \cdot 5^{6} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.5	2B	$136$	$12$	$0$	$2.432388870$	$1$		$5$	$30720$	$1.080912$	$46268279/46818$	$0.94894$	$3.58997$	$[0, -1, 0, 2992, -55488]$	$y^2=x^3-x^2+2992x-55488$	2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.?	$[(26, 198)]$
20400.m1	20400m2	20400.m	20400m	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ 2^{11} \cdot 3^{2} \cdot 5^{3} \cdot 17^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$120$	$12$	$0$	$1$	$1$		$1$	$43008$	$1.209187$	$101215672859338/2601$	$0.99463$	$4.50468$	$[0, -1, 0, -61648, -5871008]$	$y^2=x^3-x^2-61648x-5871008$	2.3.0.a.1, 24.6.0.j.1, 40.6.0.b.1, 60.6.0.c.1, 120.12.0.?	$[]$
20400.m2	20400m1	20400.m	20400m	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ - 2^{10} \cdot 3 \cdot 5^{3} \cdot 17^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$120$	$12$	$0$	$1$	$1$		$1$	$21504$	$0.862612$	$-49241558516/250563$	$0.93737$	$3.66698$	$[0, -1, 0, -3848, -91008]$	$y^2=x^3-x^2-3848x-91008$	2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.?	$[]$
20400.n1	20400cf1	20400.n	20400cf	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ - 2^{4} \cdot 3 \cdot 5^{11} \cdot 17 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$510$	$2$	$0$	$2.055241971$	$1$		$2$	$11520$	$0.713613$	$-1755904/159375$	$0.90854$	$3.21157$	$[0, -1, 0, -158, 9687]$	$y^2=x^3-x^2-158x+9687$	510.2.0.?	$[(-23, 25)]$
20400.o1	20400bv1	20400.o	20400bv	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ - 2^{12} \cdot 3 \cdot 5^{10} \cdot 17^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$6$	$2$	$0$	$1$	$1$		$0$	$34560$	$1.284792$	$819200/867$	$0.92564$	$3.83222$	$[0, -1, 0, 6667, -192963]$	$y^2=x^3-x^2+6667x-192963$	6.2.0.a.1	$[]$
20400.p1	20400k1	20400.p	20400k	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ - 2^{8} \cdot 3^{5} \cdot 5^{8} \cdot 17^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$6$	$2$	$0$	$1$	$1$		$0$	$38400$	$1.144865$	$1756160/70227$	$0.93862$	$3.73065$	$[0, -1, 0, 1167, -126963]$	$y^2=x^3-x^2+1167x-126963$	6.2.0.a.1	$[]$
20400.q1	20400g1	20400.q	20400g	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ 2^{11} \cdot 3^{5} \cdot 5^{10} \cdot 17 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$408$	$2$	$0$	$1$	$1$		$0$	$67200$	$1.497511$	$510915650/4131$	$0.90943$	$4.41091$	$[0, -1, 0, -45208, 3688912]$	$y^2=x^3-x^2-45208x+3688912$	408.2.0.?	$[]$
20400.r1	20400r1	20400.r	20400r	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ - 2^{4} \cdot 3^{9} \cdot 5^{3} \cdot 17^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$510$	$2$	$0$	$1.500055271$	$1$		$2$	$13824$	$0.845641$	$-1957215488/96702579$	$1.08741$	$3.37130$	$[0, -1, 0, -328, -21173]$	$y^2=x^3-x^2-328x-21173$	510.2.0.?	$[(47, 255)]$
20400.s1	20400co1	20400.s	20400co	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{4} \cdot 17^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$6$	$2$	$0$	$1$	$1$		$0$	$13824$	$0.682281$	$-11237785600/7803$	$1.01679$	$3.53982$	$[0, -1, 0, -2533, -48263]$	$y^2=x^3-x^2-2533x-48263$	6.2.0.a.1	$[]$
20400.t1	20400ce1	20400.t	20400ce	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ 2^{19} \cdot 3 \cdot 5^{2} \cdot 17 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$408$	$2$	$0$	$0.663235731$	$1$		$4$	$8064$	$0.413907$	$38226865/6528$	$0.86981$	$2.92198$	$[0, -1, 0, -328, 2032]$	$y^2=x^3-x^2-328x+2032$	408.2.0.?	$[(-12, 64)]$
20400.u1	20400l1	20400.u	20400l	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ 2^{11} \cdot 3^{11} \cdot 5^{8} \cdot 17 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$408$	$2$	$0$	$1$	$1$		$0$	$105600$	$1.710793$	$61184457890/3011499$	$0.93678$	$4.56878$	$[0, -1, 0, -76208, 7770912]$	$y^2=x^3-x^2-76208x+7770912$	408.2.0.?	$[]$
20400.v1	20400cp1	20400.v	20400cp	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ - 2^{4} \cdot 3^{5} \cdot 5^{3} \cdot 17 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$510$	$2$	$0$	$1$	$1$		$0$	$3840$	$0.020086$	$-3114752/4131$	$0.82324$	$2.39275$	$[0, -1, 0, -38, -153]$	$y^2=x^3-x^2-38x-153$	510.2.0.?	$[]$
20400.w1	20400cd1	20400.w	20400cd	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ - 2^{19} \cdot 3 \cdot 5^{10} \cdot 17 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$408$	$2$	$0$	$2.325499068$	$1$		$2$	$60480$	$1.450142$	$2595575/6528$	$0.89849$	$4.07015$	$[0, -1, 0, 9792, 678912]$	$y^2=x^3-x^2+9792x+678912$	408.2.0.?	$[(-32, 576)]$
20400.x1	20400bt7	20400.x	20400bt	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ 2^{13} \cdot 3^{16} \cdot 5^{10} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.48.0.97	2B	$8160$	$768$	$13$	$1$	$1$		$1$	$1179648$	$2.984608$	$161572377633716256481/914742821250$	$1.03379$	$6.50045$	$[0, -1, 0, -45388008, 117710038512]$	$y^2=x^3-x^2-45388008x+117710038512$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.x.1, 20.12.0-4.c.1.2, $\ldots$	$[]$
20400.x2	20400bt3	20400.x	20400bt	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ 2^{16} \cdot 3 \cdot 5^{7} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	32.48.0.8	2B	$8160$	$768$	$13$	$1$	$4$	$2$	$1$	$294912$	$2.291458$	$1139466686381936641/4080$	$1.01700$	$6.00118$	$[0, -1, 0, -8704008, -9880969488]$	$y^2=x^3-x^2-8704008x-9880969488$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 20.12.0-4.c.1.1, $\ldots$	$[]$
20400.x3	20400bt5	20400.x	20400bt	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ 2^{14} \cdot 3^{8} \cdot 5^{14} \cdot 17^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.91	2Cs	$4080$	$768$	$13$	$1$	$1$		$3$	$589824$	$2.638031$	$41623544884956481/2962701562500$	$1.00549$	$5.66766$	$[0, -1, 0, -2888008, 1770038512]$	$y^2=x^3-x^2-2888008x+1770038512$	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 20.24.0-4.b.1.3, 40.96.0-8.k.2.4, $\ldots$	$[]$
20400.x4	20400bt4	20400.x	20400bt	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ 2^{16} \cdot 3^{4} \cdot 5^{10} \cdot 17^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.50	2Cs	$4080$	$768$	$13$	$1$	$1$		$3$	$294912$	$2.291458$	$330240275458561/67652010000$	$1.06774$	$5.18026$	$[0, -1, 0, -576008, -135049488]$	$y^2=x^3-x^2-576008x-135049488$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.1, 20.48.0-4.b.1.1, 24.96.0-8.b.1.9, $\ldots$	$[]$
20400.x5	20400bt2	20400.x	20400bt	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ 2^{20} \cdot 3^{2} \cdot 5^{8} \cdot 17^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.48.0.6	2Cs	$4080$	$768$	$13$	$1$	$1$		$3$	$147456$	$1.944885$	$278202094583041/16646400$	$0.97964$	$5.16298$	$[0, -1, 0, -544008, -154249488]$	$y^2=x^3-x^2-544008x-154249488$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.1, 20.24.0-4.b.1.1, $\ldots$	$[]$
20400.x6	20400bt1	20400.x	20400bt	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ - 2^{28} \cdot 3 \cdot 5^{7} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	32.48.0.8	2B	$8160$	$768$	$13$	$1$	$1$		$1$	$73728$	$1.598312$	$-56667352321/16711680$	$1.00176$	$4.34802$	$[0, -1, 0, -32008, -2697488]$	$y^2=x^3-x^2-32008x-2697488$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 20.12.0-4.c.1.1, $\ldots$	$[]$
20400.x7	20400bt6	20400.x	20400bt	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ - 2^{14} \cdot 3^{2} \cdot 5^{8} \cdot 17^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.199	2B	$8160$	$768$	$13$	$1$	$1$		$1$	$589824$	$2.638031$	$3168685387909439/6278181696900$	$1.01379$	$5.49735$	$[0, -1, 0, 1223992, -811849488]$	$y^2=x^3-x^2+1223992x-811849488$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 12.24.0-4.d.1.2, 20.24.0-4.d.1.1, $\ldots$	$[]$
20400.x8	20400bt8	20400.x	20400bt	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ - 2^{13} \cdot 3^{4} \cdot 5^{22} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.48.0.144	2B	$8160$	$768$	$13$	$1$	$1$		$1$	$1179648$	$2.984608$	$31077313442863199/420227050781250$	$1.04291$	$5.95137$	$[0, -1, 0, 2619992, 7718678512]$	$y^2=x^3-x^2+2619992x+7718678512$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.1, 16.48.0.u.1, 20.12.0-4.c.1.2, $\ldots$	$[]$
20400.y1	20400j1	20400.y	20400j	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ - 2^{11} \cdot 3^{7} \cdot 5^{8} \cdot 17^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$408$	$2$	$0$	$1$	$1$		$0$	$141120$	$1.752857$	$-10395091970/10744731$	$0.94137$	$4.49341$	$[0, -1, 0, -42208, -5557088]$	$y^2=x^3-x^2-42208x-5557088$	408.2.0.?	$[]$
20400.z1	20400q2	20400.z	20400q	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ 2^{10} \cdot 3^{6} \cdot 5^{3} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$1.419814544$	$1$		$5$	$9216$	$0.641079$	$4777559924/12393$	$0.91491$	$3.43102$	$[0, -1, 0, -1768, -27968]$	$y^2=x^3-x^2-1768x-27968$	2.3.0.a.1, 60.6.0.c.1, 170.6.0.?, 204.6.0.?, 1020.12.0.?	$[(-24, 8)]$
20400.z2	20400q1	20400.z	20400q	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{3} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$2.839629089$	$1$		$3$	$4608$	$0.294505$	$-1102736/7803$	$0.85743$	$2.70768$	$[0, -1, 0, -68, -768]$	$y^2=x^3-x^2-68x-768$	2.3.0.a.1, 30.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[(28, 136)]$
20400.ba1	20400cm2	20400.ba	20400cm	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ 2^{8} \cdot 3^{3} \cdot 5^{3} \cdot 17^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$1$	$1$		$1$	$6912$	$0.455267$	$1448301584/7803$	$1.09804$	$3.17104$	$[0, -1, 0, -748, 8092]$	$y^2=x^3-x^2-748x+8092$	2.3.0.a.1, 60.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[]$
20400.ba2	20400cm1	20400.ba	20400cm	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ 2^{4} \cdot 3^{6} \cdot 5^{3} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$1$	$1$		$1$	$3456$	$0.108693$	$21807104/12393$	$1.20425$	$2.46880$	$[0, -1, 0, -73, -8]$	$y^2=x^3-x^2-73x-8$	2.3.0.a.1, 60.6.0.b.1, 170.6.0.?, 204.6.0.?, 1020.12.0.?	$[]$
20400.bb1	20400a3	20400.bb	20400a	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ 2^{10} \cdot 3^{16} \cdot 5^{7} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.15	2B	$1360$	$192$	$3$	$3.524440729$	$1$		$3$	$147456$	$1.908884$	$6913728144004/3658971285$	$0.98918$	$4.65094$	$[0, -1, 0, -100008, 3592512]$	$y^2=x^3-x^2-100008x+3592512$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.i.1, 20.12.0-4.c.1.2, $\ldots$	$[(-328, 1000)]$
20400.bb2	20400a2	20400.bb	20400a	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ 2^{8} \cdot 3^{8} \cdot 5^{8} \cdot 17^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.35	2Cs	$680$	$192$	$3$	$7.048881458$	$1$		$3$	$73728$	$1.562309$	$5258429611216/47403225$	$0.93621$	$4.48366$	$[0, -1, 0, -57508, -5247488]$	$y^2=x^3-x^2-57508x-5247488$	2.6.0.a.1, 4.12.0.a.1, 8.24.0.g.1, 20.24.0-4.a.1.1, 40.48.0-8.g.1.1, $\ldots$	$[(-3684/5, 9064/5)]$
20400.bb3	20400a1	20400.bb	20400a	$4$	$4$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ 2^{4} \cdot 3^{4} \cdot 5^{7} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.15	2B	$1360$	$192$	$3$	$14.09776291$	$1$		$1$	$36864$	$1.215736$	$83587439220736/6885$	$1.05748$	$4.48300$	$[0, -1, 0, -57383, -5271738]$	$y^2=x^3-x^2-57383x-5271738$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.i.1, 20.12.0-4.c.1.1, $\ldots$	$[(6363457/44, 16006058375/44)]$

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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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