LMFDB - Elliptic curves over $\Q$ of conductor 8736

The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

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Conductor	Discriminant	j-invariant	Rank

Bad$\ p$	Curves per isogeny class	Complex multiplication	Torsion

Isogeny class degree	Cyclic isogeny degree	Isogeny class size	Integral points

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

Galois image	Adelic level	Adelic index	Adelic genus

Nonmax$\ \ell$	$abc$ quality	Szpiro ratio	Manin constant

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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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
8736.a1	8736q1	8736.a	8736q	$1$	$1$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ - 2^{12} \cdot 3^{14} \cdot 7^{3} \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$182$	$2$	$0$	$1.270525586$	$1$		$4$	$26880$	$1.356504$	$-1432197595648/21327258771$	$1.00020$	$4.36286$	$1$	$[0, -1, 0, -3757, 459589]$	$y^2=x^3-x^2-3757x+459589$	182.2.0.?	$[(427, 8748)]$	$1$
8736.b1	8736t1	8736.b	8736t	$1$	$1$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ - 2^{9} \cdot 3 \cdot 7^{5} \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2184$	$2$	$0$	$0.406108206$	$1$		$6$	$3520$	$0.324870$	$-306182024/655473$	$0.87890$	$3.01100$	$1$	$[0, -1, 0, -112, -956]$	$y^2=x^3-x^2-112x-956$	2184.2.0.?	$[(24, 98)]$	$1$
8736.c1	8736e1	8736.c	8736e	$1$	$1$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ - 2^{12} \cdot 3^{6} \cdot 7 \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$182$	$2$	$0$	$0.558772891$	$1$		$4$	$6912$	$0.729252$	$-1693669888/11211291$	$0.92893$	$3.53587$	$1$	$[0, -1, 0, -397, -10619]$	$y^2=x^3-x^2-397x-10619$	182.2.0.?	$[(127, 1404)]$	$1$
8736.d1	8736p2	8736.d	8736p	$2$	$2$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ 2^{12} \cdot 3^{6} \cdot 7 \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1092$	$12$	$0$	$1.801217776$	$1$		$5$	$3072$	$0.398648$	$2449456192/66339$	$0.93124$	$3.29876$	$1$	$[0, -1, 0, -449, 3729]$	$y^2=x^3-x^2-449x+3729$	2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 1092.12.0.?	$[(15, 12)]$	$1$
8736.d2	8736p1	8736.d	8736p	$2$	$2$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ - 2^{6} \cdot 3^{3} \cdot 7^{2} \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1092$	$12$	$0$	$0.900608888$	$1$		$5$	$1536$	$0.052074$	$314432/223587$	$1.05051$	$2.63689$	$1$	$[0, -1, 0, 6, 180]$	$y^2=x^3-x^2+6x+180$	2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.?	$[(2, 14)]$	$1$
8736.e1	8736m1	8736.e	8736m	$1$	$1$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ - 2^{12} \cdot 3^{2} \cdot 7^{3} \cdot 13^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$182$	$2$	$0$	$1$	$1$		$0$	$11520$	$1.058165$	$-99021508447744/6782139$	$0.96788$	$4.46758$	$1$	$[0, -1, 0, -15421, -732011]$	$y^2=x^3-x^2-15421x-732011$	182.2.0.?	$[ ]$	$1$
8736.f1	8736l1	8736.f	8736l	$1$	$1$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ - 2^{9} \cdot 3^{19} \cdot 7 \cdot 13 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2184$	$2$	$0$	$1$	$1$		$0$	$18240$	$1.354034$	$-442067613591752/105765793497$	$0.97395$	$4.44142$	$1$	$[0, -1, 0, -12696, 658872]$	$y^2=x^3-x^2-12696x+658872$	2184.2.0.?	$[ ]$	$1$
8736.g1	8736r1	8736.g	8736r	$1$	$1$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ - 2^{12} \cdot 3^{2} \cdot 7^{5} \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$182$	$2$	$0$	$0.217188435$	$1$		$6$	$3840$	$0.590181$	$3348071936/1966419$	$0.97109$	$3.33319$	$1$	$[0, -1, 0, 499, 357]$	$y^2=x^3-x^2+499x+357$	182.2.0.?	$[(11, 84)]$	$1$
8736.h1	8736c2	8736.h	8736c	$2$	$2$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ 2^{12} \cdot 3^{6} \cdot 7 \cdot 13^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$1$		$1$	$12288$	$0.852956$	$6665900968000/862407$	$0.94837$	$4.17024$	$1$	$[0, -1, 0, -6273, -189135]$	$y^2=x^3-x^2-6273x-189135$	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[ ]$	$1$
8736.h2	8736c1	8736.h	8736c	$2$	$2$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ - 2^{6} \cdot 3^{3} \cdot 7^{2} \cdot 13^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$1$		$1$	$6144$	$0.506382$	$-79507000000/37786203$	$0.99033$	$3.29001$	$1$	$[0, -1, 0, -358, -3404]$	$y^2=x^3-x^2-358x-3404$	2.3.0.a.1, 6.6.0.a.1, 28.6.0.b.1, 84.12.0.?	$[ ]$	$1$
8736.i1	8736d2	8736.i	8736d	$4$	$4$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ 2^{9} \cdot 3^{3} \cdot 7 \cdot 13^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$2184$	$48$	$0$	$1$	$1$		$1$	$7680$	$0.683824$	$1922350562504/5398029$	$0.93131$	$3.80409$	$2$	$[0, -1, 0, -2072, -35532]$	$y^2=x^3-x^2-2072x-35532$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0-4.c.1.1, 104.12.0.?, $\ldots$	$[ ]$	$1$
8736.i2	8736d3	8736.i	8736d	$4$	$4$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ 2^{12} \cdot 3^{3} \cdot 7^{4} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$2184$	$48$	$0$	$1$	$1$		$1$	$7680$	$0.683824$	$196325547328/842751$	$0.94498$	$3.78182$	$2$	$[0, -1, 0, -1937, 33345]$	$y^2=x^3-x^2-1937x+33345$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 52.12.0-4.c.1.2, 56.12.0-4.c.1.4, $\ldots$	$[ ]$	$1$
8736.i3	8736d1	8736.i	8736d	$4$	$4$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ 2^{6} \cdot 3^{6} \cdot 7^{2} \cdot 13^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$2184$	$48$	$0$	$1$	$1$		$3$	$3840$	$0.337250$	$10474708672/6036849$	$1.05484$	$3.00060$	$1$	$[0, -1, 0, -182, 0]$	$y^2=x^3-x^2-182x$	2.6.0.a.1, 12.12.0-2.a.1.1, 52.12.0-2.a.1.1, 56.12.0-2.a.1.1, 156.24.0.?, $\ldots$	$[ ]$	$1$
8736.i4	8736d4	8736.i	8736d	$4$	$4$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ - 2^{9} \cdot 3^{12} \cdot 7 \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$2184$	$48$	$0$	$1$	$4$	$2$	$1$	$7680$	$0.683824$	$83224499896/48361131$	$1.01276$	$3.45812$	$2$	$[0, -1, 0, 728, -728]$	$y^2=x^3-x^2+728x-728$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 52.12.0-4.c.1.1, 56.12.0-4.c.1.2, $\ldots$	$[ ]$	$1$
8736.j1	8736o2	8736.j	8736o	$2$	$2$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ 2^{12} \cdot 3^{2} \cdot 7 \cdot 13^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1092$	$12$	$0$	$4.872067277$	$1$		$3$	$15360$	$1.260120$	$14896378491692608/138411$	$1.01838$	$5.02001$	$1$	$[0, -1, 0, -82017, -9013455]$	$y^2=x^3-x^2-82017x-9013455$	2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 1092.12.0.?	$[(1279, 44460)]$	$1$
8736.j2	8736o1	8736.j	8736o	$2$	$2$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ - 2^{6} \cdot 3 \cdot 7^{2} \cdot 13^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1092$	$12$	$0$	$2.436033638$	$1$		$5$	$7680$	$0.913548$	$-232245467895232/709540923$	$1.08656$	$4.10381$	$1$	$[0, -1, 0, -5122, -139772]$	$y^2=x^3-x^2-5122x-139772$	2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.?	$[(96, 494)]$	$1$
8736.k1	8736n2	8736.k	8736n	$4$	$4$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ 2^{12} \cdot 3^{4} \cdot 7 \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$2184$	$48$	$0$	$1$	$1$		$1$	$3072$	$0.317929$	$3321287488/7371$	$0.87033$	$3.33231$	$2$	$[0, -1, 0, -497, -4095]$	$y^2=x^3-x^2-497x-4095$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 28.12.0-4.c.1.2, 52.12.0-4.c.1.1, $\ldots$	$[ ]$	$1$
8736.k2	8736n3	8736.k	8736n	$4$	$4$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ 2^{9} \cdot 3 \cdot 7^{4} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$2184$	$48$	$0$	$1$	$1$		$1$	$3072$	$0.317929$	$17454600584/93639$	$0.88793$	$3.28601$	$2$	$[0, -1, 0, -432, 3588]$	$y^2=x^3-x^2-432x+3588$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 52.12.0-4.c.1.2, 56.12.0-4.c.1.5, $\ldots$	$[ ]$	$1$
8736.k3	8736n1	8736.k	8736n	$4$	$4$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$2184$	$48$	$0$	$1$	$1$		$3$	$1536$	$-0.028645$	$131096512/74529$	$0.92560$	$2.51788$	$1$	$[0, -1, 0, -42, 0]$	$y^2=x^3-x^2-42x$	2.6.0.a.1, 24.12.0-2.a.1.1, 28.12.0-2.a.1.1, 52.12.0-2.a.1.1, 168.24.0.?, $\ldots$	$[ ]$	$1$
8736.k4	8736n4	8736.k	8736n	$4$	$4$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ - 2^{9} \cdot 3 \cdot 7 \cdot 13^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$2184$	$48$	$0$	$1$	$4$	$2$	$1$	$3072$	$0.317929$	$1018108216/599781$	$0.94127$	$2.97288$	$2$	$[0, -1, 0, 168, -168]$	$y^2=x^3-x^2+168x-168$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 28.12.0-4.c.1.1, 104.12.0.?, $\ldots$	$[ ]$	$1$
8736.l1	8736s3	8736.l	8736s	$4$	$4$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ 2^{9} \cdot 3^{4} \cdot 7^{4} \cdot 13^{2} $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.49	2B	$56$	$48$	$0$	$2.334351589$	$1$		$7$	$24576$	$1.438133$	$672668087746709384/32867289$	$1.00496$	$5.21072$	$1$	$[0, -1, 0, -146032, 21528052]$	$y^2=x^3-x^2-146032x+21528052$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.k.1.2, 56.48.0-56.bc.1.3	$[(196, 630)]$	$1$
8736.l2	8736s2	8736.l	8736s	$4$	$4$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ 2^{12} \cdot 3^{16} \cdot 7 \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.60	2B	$56$	$48$	$0$	$2.334351589$	$1$		$3$	$24576$	$1.438133$	$92173898928448/50924270943$	$1.07652$	$4.45967$	$2$	$[0, -1, 0, -15057, -146367]$	$y^2=x^3-x^2-15057x-146367$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.p.1.3, 28.24.0-28.h.1.1, 56.48.0-56.br.1.2	$[(-19, 364)]$	$1$
8736.l3	8736s1	8736.l	8736s	$4$	$4$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ 2^{6} \cdot 3^{8} \cdot 7^{2} \cdot 13^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.2	2Cs	$56$	$48$	$0$	$4.668703178$	$1$		$5$	$12288$	$1.091560$	$1320428512222912/9182047329$	$1.02998$	$4.29474$	$1$	$[0, -1, 0, -9142, 337480]$	$y^2=x^3-x^2-9142x+337480$	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.1, 28.24.0-28.a.1.2, 56.48.0-56.b.1.1	$[(402, 7840)]$	$1$
8736.l4	8736s4	8736.l	8736s	$4$	$4$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ - 2^{9} \cdot 3^{4} \cdot 7 \cdot 13^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.101	2B	$56$	$48$	$0$	$9.337406357$	$1$		$1$	$24576$	$1.438133$	$-9043113453704/462519318807$	$1.01798$	$4.46979$	$2$	$[0, -1, 0, -3472, 745720]$	$y^2=x^3-x^2-3472x+745720$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.5, 28.12.0-4.c.1.1, 56.48.0-56.bt.1.7	$[(9969/5, 989072/5)]$	$1$
8736.m1	8736b1	8736.m	8736b	$1$	$1$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ - 2^{9} \cdot 3^{5} \cdot 7 \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2184$	$2$	$0$	$2.227376626$	$1$		$2$	$4800$	$0.469746$	$5582912824/3737097$	$0.91782$	$3.16040$	$1$	$[0, -1, 0, 296, 676]$	$y^2=x^3-x^2+296x+676$	2184.2.0.?	$[(0, 26)]$	$1$
8736.n1	8736a1	8736.n	8736a	$1$	$1$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ - 2^{12} \cdot 3^{2} \cdot 7 \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$182$	$2$	$0$	$0.475724645$	$1$		$4$	$1280$	$-0.054068$	$-681472/819$	$0.74804$	$2.52045$	$1$	$[0, -1, 0, -29, 117]$	$y^2=x^3-x^2-29x+117$	182.2.0.?	$[(-1, 12)]$	$1$
8736.o1	8736g1	8736.o	8736g	$1$	$1$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ - 2^{12} \cdot 3^{6} \cdot 7 \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$182$	$2$	$0$	$0.113400717$	$1$		$10$	$6912$	$0.729252$	$-1693669888/11211291$	$0.92893$	$3.53587$	$1$	$[0, 1, 0, -397, 10619]$	$y^2=x^3+x^2-397x+10619$	182.2.0.?	$[(29, 156)]$	$1$
8736.p1	8736f1	8736.p	8736f	$1$	$1$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ - 2^{9} \cdot 3 \cdot 7^{5} \cdot 13 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2184$	$2$	$0$	$1$	$1$		$0$	$3520$	$0.324870$	$-306182024/655473$	$0.87890$	$3.01100$	$1$	$[0, 1, 0, -112, 956]$	$y^2=x^3+x^2-112x+956$	2184.2.0.?	$[ ]$	$1$
8736.q1	8736bb1	8736.q	8736bb	$1$	$1$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ - 2^{12} \cdot 3^{14} \cdot 7^{3} \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$182$	$2$	$0$	$0.202478462$	$1$		$8$	$26880$	$1.356504$	$-1432197595648/21327258771$	$1.00020$	$4.36286$	$1$	$[0, 1, 0, -3757, -459589]$	$y^2=x^3+x^2-3757x-459589$	182.2.0.?	$[(113, 756)]$	$1$
8736.r1	8736ba2	8736.r	8736ba	$2$	$2$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ 2^{12} \cdot 3^{6} \cdot 7 \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1092$	$12$	$0$	$1.466575160$	$1$		$5$	$3072$	$0.398648$	$2449456192/66339$	$0.93124$	$3.29876$	$1$	$[0, 1, 0, -449, -3729]$	$y^2=x^3+x^2-449x-3729$	2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 1092.12.0.?	$[(-14, 3)]$	$1$
8736.r2	8736ba1	8736.r	8736ba	$2$	$2$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ - 2^{6} \cdot 3^{3} \cdot 7^{2} \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1092$	$12$	$0$	$0.733287580$	$1$		$7$	$1536$	$0.052074$	$314432/223587$	$1.05051$	$2.63689$	$1$	$[0, 1, 0, 6, -180]$	$y^2=x^3+x^2+6x-180$	2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.?	$[(12, 42)]$	$1$
8736.s1	8736u1	8736.s	8736u	$1$	$1$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ - 2^{12} \cdot 3^{2} \cdot 7^{5} \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$182$	$2$	$0$	$1.526627439$	$1$		$4$	$3840$	$0.590181$	$3348071936/1966419$	$0.97109$	$3.33319$	$1$	$[0, 1, 0, 499, -357]$	$y^2=x^3+x^2+499x-357$	182.2.0.?	$[(1, 12)]$	$1$
8736.t1	8736h1	8736.t	8736h	$1$	$1$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ - 2^{9} \cdot 3^{19} \cdot 7 \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2184$	$2$	$0$	$0.587260112$	$1$		$4$	$18240$	$1.354034$	$-442067613591752/105765793497$	$0.97395$	$4.44142$	$1$	$[0, 1, 0, -12696, -658872]$	$y^2=x^3+x^2-12696x-658872$	2184.2.0.?	$[(138, 486)]$	$1$
8736.u1	8736i1	8736.u	8736i	$1$	$1$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ - 2^{12} \cdot 3^{2} \cdot 7^{3} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$182$	$2$	$0$	$0.383992499$	$1$		$6$	$11520$	$1.058165$	$-99021508447744/6782139$	$0.96788$	$4.46758$	$1$	$[0, 1, 0, -15421, 732011]$	$y^2=x^3+x^2-15421x+732011$	182.2.0.?	$[(77, 84)]$	$1$
8736.v1	8736y2	8736.v	8736y	$2$	$2$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ 2^{12} \cdot 3^{6} \cdot 7 \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$84$	$12$	$0$	$0.645538674$	$1$		$7$	$12288$	$0.852956$	$6665900968000/862407$	$0.94837$	$4.17024$	$1$	$[0, 1, 0, -6273, 189135]$	$y^2=x^3+x^2-6273x+189135$	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[(42, 39)]$	$1$
8736.v2	8736y1	8736.v	8736y	$2$	$2$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ - 2^{6} \cdot 3^{3} \cdot 7^{2} \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$84$	$12$	$0$	$0.322769337$	$1$		$7$	$6144$	$0.506382$	$-79507000000/37786203$	$0.99033$	$3.29001$	$1$	$[0, 1, 0, -358, 3404]$	$y^2=x^3+x^2-358x+3404$	2.3.0.a.1, 6.6.0.a.1, 28.6.0.b.1, 84.12.0.?	$[(-10, 78)]$	$1$
8736.w1	8736v2	8736.w	8736v	$4$	$4$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ 2^{9} \cdot 3^{4} \cdot 7^{4} \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.58	2B	$56$	$48$	$0$	$5.727113564$	$1$		$3$	$24576$	$1.438133$	$672668087746709384/32867289$	$1.00496$	$5.21072$	$2$	$[0, 1, 0, -146032, -21528052]$	$y^2=x^3+x^2-146032x-21528052$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.k.1.1, 56.48.0-56.bc.1.8	$[(4679, 318990)]$	$1$
8736.w2	8736v3	8736.w	8736v	$4$	$4$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ 2^{12} \cdot 3^{16} \cdot 7 \cdot 13^{2} $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.50	2B	$56$	$48$	$0$	$1.431778391$	$1$		$9$	$24576$	$1.438133$	$92173898928448/50924270943$	$1.07652$	$4.45967$	$1$	$[0, 1, 0, -15057, 146367]$	$y^2=x^3+x^2-15057x+146367$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.1, 28.24.0-28.h.1.2, 56.48.0-56.br.1.6	$[(9, 108)]$	$1$
8736.w3	8736v1	8736.w	8736v	$4$	$4$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ 2^{6} \cdot 3^{8} \cdot 7^{2} \cdot 13^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.1	2Cs	$56$	$48$	$0$	$2.863556782$	$1$		$7$	$12288$	$1.091560$	$1320428512222912/9182047329$	$1.02998$	$4.29474$	$1$	$[0, 1, 0, -9142, -337480]$	$y^2=x^3+x^2-9142x-337480$	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.2, 28.24.0-28.a.1.1, 56.48.0-56.b.1.7	$[(116, 420)]$	$1$
8736.w4	8736v4	8736.w	8736v	$4$	$4$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ - 2^{9} \cdot 3^{4} \cdot 7 \cdot 13^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.103	2B	$56$	$48$	$0$	$5.727113564$	$1$		$1$	$24576$	$1.438133$	$-9043113453704/462519318807$	$1.01798$	$4.46979$	$2$	$[0, 1, 0, -3472, -745720]$	$y^2=x^3+x^2-3472x-745720$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.7, 28.12.0-4.c.1.2, 56.48.0-56.bt.1.3	$[(437/2, 3495/2)]$	$1$
8736.x1	8736j3	8736.x	8736j	$4$	$4$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ 2^{12} \cdot 3^{4} \cdot 7 \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$2184$	$48$	$0$	$1.379961553$	$1$		$5$	$3072$	$0.317929$	$3321287488/7371$	$0.87033$	$3.33231$	$2$	$[0, 1, 0, -497, 4095]$	$y^2=x^3+x^2-497x+4095$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 28.12.0-4.c.1.1, 52.12.0-4.c.1.2, $\ldots$	$[(1, 60)]$	$1$
8736.x2	8736j2	8736.x	8736j	$4$	$4$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ 2^{9} \cdot 3 \cdot 7^{4} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$2184$	$48$	$0$	$5.519846213$	$1$		$1$	$3072$	$0.317929$	$17454600584/93639$	$0.88793$	$3.28601$	$2$	$[0, 1, 0, -432, -3588]$	$y^2=x^3+x^2-432x-3588$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 52.12.0-4.c.1.1, 56.12.0-4.c.1.5, $\ldots$	$[(-443/6, 865/6)]$	$1$
8736.x3	8736j1	8736.x	8736j	$4$	$4$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$2184$	$48$	$0$	$2.759923106$	$1$		$5$	$1536$	$-0.028645$	$131096512/74529$	$0.92560$	$2.51788$	$1$	$[0, 1, 0, -42, 0]$	$y^2=x^3+x^2-42x$	2.6.0.a.1, 24.12.0-2.a.1.1, 28.12.0-2.a.1.1, 52.12.0-2.a.1.1, 168.24.0.?, $\ldots$	$[(56, 420)]$	$1$
8736.x4	8736j4	8736.x	8736j	$4$	$4$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ - 2^{9} \cdot 3 \cdot 7 \cdot 13^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$2184$	$48$	$0$	$5.519846213$	$1$		$1$	$3072$	$0.317929$	$1018108216/599781$	$0.94127$	$2.97288$	$2$	$[0, 1, 0, 168, 168]$	$y^2=x^3+x^2+168x+168$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 28.12.0-4.c.1.2, 104.12.0.?, $\ldots$	$[(221/2, 3405/2)]$	$1$
8736.y1	8736z2	8736.y	8736z	$2$	$2$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ 2^{12} \cdot 3^{2} \cdot 7 \cdot 13^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1092$	$12$	$0$	$1.754404909$	$1$		$3$	$15360$	$1.260120$	$14896378491692608/138411$	$1.01838$	$5.02001$	$1$	$[0, 1, 0, -82017, 9013455]$	$y^2=x^3+x^2-82017x+9013455$	2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 1092.12.0.?	$[(138, 585)]$	$1$
8736.y2	8736z1	8736.y	8736z	$2$	$2$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ - 2^{6} \cdot 3 \cdot 7^{2} \cdot 13^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1092$	$12$	$0$	$0.877202454$	$1$		$5$	$7680$	$0.913548$	$-232245467895232/709540923$	$1.08656$	$4.10381$	$1$	$[0, 1, 0, -5122, 139772]$	$y^2=x^3+x^2-5122x+139772$	2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.?	$[(34, 78)]$	$1$
8736.z1	8736k3	8736.z	8736k	$4$	$4$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ 2^{9} \cdot 3^{3} \cdot 7 \cdot 13^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$2184$	$48$	$0$	$1$	$1$		$1$	$7680$	$0.683824$	$1922350562504/5398029$	$0.93131$	$3.80409$	$2$	$[0, 1, 0, -2072, 35532]$	$y^2=x^3+x^2-2072x+35532$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0-4.c.1.2, 104.12.0.?, $\ldots$	$[ ]$	$1$
8736.z2	8736k2	8736.z	8736k	$4$	$4$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ 2^{12} \cdot 3^{3} \cdot 7^{4} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$2184$	$48$	$0$	$1$	$1$		$1$	$7680$	$0.683824$	$196325547328/842751$	$0.94498$	$3.78182$	$2$	$[0, 1, 0, -1937, -33345]$	$y^2=x^3+x^2-1937x-33345$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 52.12.0-4.c.1.1, 56.12.0-4.c.1.4, $\ldots$	$[ ]$	$1$
8736.z3	8736k1	8736.z	8736k	$4$	$4$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ 2^{6} \cdot 3^{6} \cdot 7^{2} \cdot 13^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$2184$	$48$	$0$	$1$	$1$		$3$	$3840$	$0.337250$	$10474708672/6036849$	$1.05484$	$3.00060$	$1$	$[0, 1, 0, -182, 0]$	$y^2=x^3+x^2-182x$	2.6.0.a.1, 12.12.0-2.a.1.1, 52.12.0-2.a.1.1, 56.12.0-2.a.1.1, 156.24.0.?, $\ldots$	$[ ]$	$1$
8736.z4	8736k4	8736.z	8736k	$4$	$4$	$ 2^{5} \cdot 3 \cdot 7 \cdot 13 $	$ - 2^{9} \cdot 3^{12} \cdot 7 \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$2184$	$48$	$0$	$1$	$1$		$1$	$7680$	$0.683824$	$83224499896/48361131$	$1.01276$	$3.45812$	$2$	$[0, 1, 0, 728, 728]$	$y^2=x^3+x^2+728x+728$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 52.12.0-4.c.1.2, 56.12.0-4.c.1.1, $\ldots$	$[ ]$	$1$

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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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