LMFDB - Elliptic curve search results

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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

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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	Semistable	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
10001.a1	10001a2	10001.a	10001a	$2$	$2$	$ 73 \cdot 137 $	$ 73 \cdot 137^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$40004$	$12$	$0$	$3.470942657$	$1$		$0$	$46656$	$1.596895$	$17374804109361438921/482665506294457$	$0.96706$	$4.80993$	$[1, -1, 0, -53959, 4720704]$	$y^2+xy=x^3-x^2-53959x+4720704$	2.3.0.a.1, 146.6.0.?, 548.6.0.?, 40004.12.0.?	$[(2437/4, 3757/4)]$
10001.a2	10001a1	10001.a	10001a	$2$	$2$	$ 73 \cdot 137 $	$ 73^{2} \cdot 137^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$40004$	$12$	$0$	$1.735471328$	$1$		$1$	$23328$	$1.250322$	$17024594875172176761/13702740137$	$0.94200$	$4.80772$	$[1, -1, 0, -53594, 4788959]$	$y^2+xy=x^3-x^2-53594x+4788959$	2.3.0.a.1, 274.6.0.?, 292.6.0.?, 40004.12.0.?	$[(487/2, 1431/2)]$
10002.a1	10002c1	10002.a	10002c	$2$	$2$	$ 2 \cdot 3 \cdot 1667 $	$ 2^{6} \cdot 3 \cdot 1667 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.6.0.4	2B	$40008$	$12$	$0$	$1$	$1$		$1$	$1536$	$-0.070807$	$115714886617/320064$	$0.83696$	$2.76579$	$[1, 1, 0, -101, -435]$	$y^2+xy=x^3+x^2-101x-435$	2.3.0.a.1, 8.6.0.d.1, 10002.6.0.?, 40008.12.0.?	$[]$
10002.a2	10002c2	10002.a	10002c	$2$	$2$	$ 2 \cdot 3 \cdot 1667 $	$ - 2^{3} \cdot 3^{2} \cdot 1667^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.6.0.5	2B	$40008$	$12$	$0$	$1$	$1$		$0$	$3072$	$0.275766$	$-25750777177/200080008$	$0.87285$	$2.89242$	$[1, 1, 0, -61, -731]$	$y^2+xy=x^3+x^2-61x-731$	2.3.0.a.1, 8.6.0.a.1, 20004.6.0.?, 40008.12.0.?	$[]$
10002.b1	10002b1	10002.b	10002b	$1$	$1$	$ 2 \cdot 3 \cdot 1667 $	$ 2^{11} \cdot 3^{3} \cdot 1667 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$40008$	$2$	$0$	$1$	$1$		$0$	$5280$	$0.426821$	$58886570067625/92178432$	$0.88985$	$3.44243$	$[1, 1, 0, -810, 8532]$	$y^2+xy=x^3+x^2-810x+8532$	40008.2.0.?	$[]$
10002.c1	10002a1	10002.c	10002a	$1$	$1$	$ 2 \cdot 3 \cdot 1667 $	$ - 2^{13} \cdot 3^{8} \cdot 1667 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$13336$	$2$	$0$	$1.676238635$	$1$		$2$	$14560$	$0.833298$	$-649844448647113/89597435904$	$0.90941$	$3.72632$	$[1, 1, 0, -1804, 32080]$	$y^2+xy=x^3+x^2-1804x+32080$	13336.2.0.?	$[(-5, 205)]$
10002.d1	10002d1	10002.d	10002d	$1$	$1$	$ 2 \cdot 3 \cdot 1667 $	$ 2^{9} \cdot 3 \cdot 1667 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$40008$	$2$	$0$	$0.213500995$	$1$		$6$	$2736$	$0.180284$	$4906933498657/2560512$	$0.87069$	$3.17263$	$[1, 1, 1, -354, 2415]$	$y^2+xy+y=x^3+x^2-354x+2415$	40008.2.0.?	$[(9, 3)]$
10002.e1	10002e1	10002.e	10002e	$1$	$1$	$ 2 \cdot 3 \cdot 1667 $	$ 2^{3} \cdot 3^{5} \cdot 1667 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$40008$	$2$	$0$	$0.257460714$	$1$		$4$	$2160$	$-0.061213$	$5611284433/3240648$	$0.90444$	$2.43721$	$[1, 0, 0, -37, -7]$	$y^2+xy=x^3-37x-7$	40008.2.0.?	$[(-4, 11)]$
10003.a1	10003a1	10003.a	10003a	$1$	$1$	$ 7 \cdot 1429 $	$ - 7^{5} \cdot 1429 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$20006$	$2$	$0$	$1$	$1$		$0$	$1960$	$0.101478$	$15531437375/24017203$	$0.79342$	$2.60353$	$[1, 1, 1, 52, 208]$	$y^2+xy+y=x^3+x^2+52x+208$	20006.2.0.?	$[]$
10004.a1	10004a1	10004.a	10004a	$1$	$1$	$ 2^{2} \cdot 41 \cdot 61 $	$ 2^{8} \cdot 41^{3} \cdot 61 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$					$5002$	$2$	$0$	$1.724878115$	$1$		$2$	$3168$	$0.484009$	$66523963392/4204181$	$0.92402$	$3.30766$	$[0, 0, 0, -536, -4508]$	$y^2=x^3-536x-4508$	5002.2.0.?	$[(-12, 14)]$
10005.a1	10005k1	10005.a	10005k	$1$	$1$	$ 3 \cdot 5 \cdot 23 \cdot 29 $	$ 3^{9} \cdot 5^{5} \cdot 23 \cdot 29 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$20010$	$2$	$0$	$0.841750110$	$1$		$4$	$38880$	$1.187117$	$3511697101967355904/41026753125$	$0.94848$	$4.63613$	$[0, 1, 1, -31666, -2179460]$	$y^2+y=x^3+x^2-31666x-2179460$	20010.2.0.?	$[(-103, 4)]$
10005.b1	10005h2	10005.b	10005h	$2$	$2$	$ 3 \cdot 5 \cdot 23 \cdot 29 $	$ 3^{2} \cdot 5^{4} \cdot 23^{2} \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$2668$	$12$	$0$	$0.285535232$	$1$		$10$	$5888$	$0.501294$	$290656902035521/86293125$	$0.88440$	$3.61565$	$[1, 1, 1, -1380, 19152]$	$y^2+xy+y=x^3+x^2-1380x+19152$	2.3.0.a.1, 58.6.0.a.1, 92.6.0.?, 2668.12.0.?	$[(22, -4)]$
10005.b2	10005h1	10005.b	10005h	$2$	$2$	$ 3 \cdot 5 \cdot 23 \cdot 29 $	$ - 3^{4} \cdot 5^{2} \cdot 23 \cdot 29^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$2668$	$12$	$0$	$0.571070465$	$1$		$7$	$2944$	$0.154720$	$-46694890801/39169575$	$0.82606$	$2.76444$	$[1, 1, 1, -75, 360]$	$y^2+xy+y=x^3+x^2-75x+360$	2.3.0.a.1, 46.6.0.a.1, 116.6.0.?, 2668.12.0.?	$[(-2, 23)]$
10005.c1	10005f1	10005.c	10005f	$2$	$2$	$ 3 \cdot 5 \cdot 23 \cdot 29 $	$ 3 \cdot 5^{2} \cdot 23 \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$40020$	$12$	$0$	$1.130966506$	$1$		$5$	$2048$	$-0.265641$	$7088952961/50025$	$0.78758$	$2.46251$	$[1, 1, 1, -40, 80]$	$y^2+xy+y=x^3+x^2-40x+80$	2.3.0.a.1, 20.6.0.b.1, 4002.6.0.?, 40020.12.0.?	$[(4, 0)]$
10005.c2	10005f2	10005.c	10005f	$2$	$2$	$ 3 \cdot 5 \cdot 23 \cdot 29 $	$ - 3^{2} \cdot 5 \cdot 23^{2} \cdot 29^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$40020$	$12$	$0$	$0.565483253$	$1$		$8$	$4096$	$0.080932$	$-374805361/20020005$	$0.84818$	$2.63578$	$[1, 1, 1, -15, 210]$	$y^2+xy+y=x^3+x^2-15x+210$	2.3.0.a.1, 20.6.0.a.1, 8004.6.0.?, 40020.12.0.?	$[(0, 14)]$
10005.d1	10005e3	10005.d	10005e	$4$	$4$	$ 3 \cdot 5 \cdot 23 \cdot 29 $	$ 3 \cdot 5^{3} \cdot 23 \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.6	2B	$80040$	$48$	$0$	$6.562466036$	$4$	$2$	$2$	$49152$	$1.711998$	$262537424941059264096001/250125$	$1.01946$	$5.85448$	$[1, 1, 1, -1334000, -593592940]$	$y^2+xy+y=x^3+x^2-1334000x-593592940$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.1, 40.24.0-40.ba.1.2, $\ldots$	$[(1403, 16588)]$
10005.d2	10005e2	10005.d	10005e	$4$	$4$	$ 3 \cdot 5 \cdot 23 \cdot 29 $	$ 3^{2} \cdot 5^{6} \cdot 23^{2} \cdot 29^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.1	2Cs	$40020$	$48$	$0$	$3.281233018$	$1$		$6$	$24576$	$1.365425$	$64096096056024006001/62562515625$	$0.95193$	$4.95144$	$[1, 1, 1, -83375, -9300940]$	$y^2+xy+y=x^3+x^2-83375x-9300940$	2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.a.1.2, 8004.24.0.?, 40020.48.0.?	$[(678, 15358)]$
10005.d3	10005e4	10005.d	10005e	$4$	$4$	$ 3 \cdot 5 \cdot 23 \cdot 29 $	$ - 3^{4} \cdot 5^{3} \cdot 23^{4} \cdot 29^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.8	2B	$80040$	$48$	$0$	$1.640616509$	$1$		$4$	$49152$	$1.711998$	$-62665433378363916001/2004003001000125$	$0.95242$	$4.95483$	$[1, 1, 1, -82750, -9446440]$	$y^2+xy+y=x^3+x^2-82750x-9446440$	2.3.0.a.1, 4.12.0-4.c.1.2, 20.24.0-20.h.1.1, 16008.24.0.?, 80040.48.0.?	$[(398, 4368)]$
10005.d4	10005e1	10005.d	10005e	$4$	$4$	$ 3 \cdot 5 \cdot 23 \cdot 29 $	$ 3 \cdot 5^{12} \cdot 23 \cdot 29 $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.7	2B	$80040$	$48$	$0$	$6.562466036$	$1$		$3$	$12288$	$1.018852$	$16003198512756001/488525390625$	$0.91071$	$4.05083$	$[1, 1, 1, -5250, -144690]$	$y^2+xy+y=x^3+x^2-5250x-144690$	2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.ba.1.4, 4002.6.0.?, 8004.24.0.?, $\ldots$	$[(-3857/9, 8252/9)]$
10005.e1	10005a1	10005.e	10005a	$1$	$1$	$ 3 \cdot 5 \cdot 23 \cdot 29 $	$ 3^{3} \cdot 5 \cdot 23 \cdot 29 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$20010$	$2$	$0$	$0.908072202$	$1$		$4$	$1632$	$-0.210038$	$14959673344/90045$	$0.80703$	$2.54359$	$[0, -1, 1, -51, -124]$	$y^2+y=x^3-x^2-51x-124$	20010.2.0.?	$[(-4, 0)]$
10005.f1	10005b1	10005.f	10005b	$1$	$1$	$ 3 \cdot 5 \cdot 23 \cdot 29 $	$ 3 \cdot 5^{5} \cdot 23^{3} \cdot 29^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$20010$	$2$	$0$	$0.440061521$	$1$		$2$	$84000$	$1.987009$	$25101212833837967048704/2339617030153125$	$1.00166$	$5.59962$	$[0, -1, 1, -609991, 183560811]$	$y^2+y=x^3-x^2-609991x+183560811$	20010.2.0.?	$[(405, 1667)]$
10005.g1	10005m1	10005.g	10005m	$1$	$1$	$ 3 \cdot 5 \cdot 23 \cdot 29 $	$ 3^{7} \cdot 5^{3} \cdot 23 \cdot 29^{13} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$20010$	$2$	$0$	$8.613946887$	$1$		$2$	$2140320$	$3.644524$	$125147927114815865709295304704/64514985611316331088611125$	$1.08913$	$7.27396$	$[0, 1, 1, -104207741, 135268278965]$	$y^2+y=x^3+x^2-104207741x+135268278965$	20010.2.0.?	$[(-7253, 713854)]$
10005.h1	10005i2	10005.h	10005i	$2$	$3$	$ 3 \cdot 5 \cdot 23 \cdot 29 $	$ 3^{5} \cdot 5^{15} \cdot 23^{3} \cdot 29 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$3$	3.8.0.2	3B.1.2	$20010$	$16$	$0$	$6.026588428$	$1$		$0$	$194400$	$2.427292$	$1489157481162281146384384/2616603057861328125$	$1.07366$	$6.04291$	$[0, 1, 1, -2379061, -1411043480]$	$y^2+y=x^3+x^2-2379061x-1411043480$	3.8.0-3.a.1.1, 20010.16.0.?	$[(-3451/2, 1931/2)]$
10005.h2	10005i1	10005.h	10005i	$2$	$3$	$ 3 \cdot 5 \cdot 23 \cdot 29 $	$ 3^{15} \cdot 5^{5} \cdot 23 \cdot 29^{3} $	$1$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$3$	3.8.0.1	3B.1.1	$20010$	$16$	$0$	$2.008862809$	$1$		$6$	$64800$	$1.877985$	$210966209738334797824/25153051046653125$	$1.05362$	$5.08078$	$[0, 1, 1, -124021, 14938111]$	$y^2+y=x^3+x^2-124021x+14938111$	3.8.0-3.a.1.2, 20010.16.0.?	$[(-181, 5611)]$
10005.i1	10005l1	10005.i	10005l	$1$	$1$	$ 3 \cdot 5 \cdot 23 \cdot 29 $	$ - 3^{6} \cdot 5^{4} \cdot 23^{7} \cdot 29 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$1334$	$2$	$0$	$1.149133118$	$1$		$4$	$349440$	$2.552017$	$-131631542171643599790505984/44988384234391875$	$1.02764$	$6.52949$	$[0, 1, 1, -10597711, -13282563134]$	$y^2+y=x^3+x^2-10597711x-13282563134$	1334.2.0.?	$[(6632, 456262)]$
10005.j1	10005n1	10005.j	10005n	$1$	$1$	$ 3 \cdot 5 \cdot 23 \cdot 29 $	$ 3 \cdot 5^{3} \cdot 23^{5} \cdot 29 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$20010$	$2$	$0$	$1$	$1$		$0$	$6720$	$0.787657$	$245973316796416/69995230125$	$0.93654$	$3.59753$	$[0, 1, 1, -1305, 12506]$	$y^2+y=x^3+x^2-1305x+12506$	20010.2.0.?	$[]$
10005.k1	10005d4	10005.k	10005d	$4$	$4$	$ 3 \cdot 5 \cdot 23 \cdot 29 $	$ 3^{2} \cdot 5 \cdot 23 \cdot 29^{4} $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.7	2B	$26680$	$48$	$0$	$6.375067733$	$1$		$2$	$7680$	$0.785313$	$18778886261717401/732035835$	$0.91105$	$4.06820$	$[1, 1, 0, -5537, 156294]$	$y^2+xy=x^3+x^2-5537x+156294$	2.3.0.a.1, 4.12.0-4.c.1.1, 232.24.0.?, 460.24.0.?, 26680.48.0.?	$[(655/2, 14679/2)]$
10005.k2	10005d3	10005.k	10005d	$4$	$4$	$ 3 \cdot 5 \cdot 23 \cdot 29 $	$ 3^{2} \cdot 5^{4} \cdot 23^{4} \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.8	2B	$26680$	$48$	$0$	$1.593766933$	$1$		$4$	$7680$	$0.785313$	$512787603508921/45649063125$	$0.89026$	$3.67728$	$[1, 1, 0, -1667, -24804]$	$y^2+xy=x^3+x^2-1667x-24804$	2.3.0.a.1, 4.12.0-4.c.1.2, 58.6.0.a.1, 116.24.0.?, 920.24.0.?, $\ldots$	$[(-28, 44)]$
10005.k3	10005d2	10005.k	10005d	$4$	$4$	$ 3 \cdot 5 \cdot 23 \cdot 29 $	$ 3^{4} \cdot 5^{2} \cdot 23^{2} \cdot 29^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.1	2Cs	$13340$	$48$	$0$	$3.187533866$	$1$		$4$	$3840$	$0.438739$	$5268932332201/900900225$	$0.85803$	$3.18026$	$[1, 1, 0, -362, 2079]$	$y^2+xy=x^3+x^2-362x+2079$	2.6.0.a.1, 4.12.0-2.a.1.1, 116.24.0.?, 460.24.0.?, 13340.48.0.?	$[(158, 1901)]$
10005.k4	10005d1	10005.k	10005d	$4$	$4$	$ 3 \cdot 5 \cdot 23 \cdot 29 $	$ - 3^{8} \cdot 5 \cdot 23 \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.6	2B	$26680$	$48$	$0$	$6.375067733$	$1$		$1$	$1920$	$0.092165$	$8477185319/21880935$	$0.82352$	$2.61670$	$[1, 1, 0, 43, 216]$	$y^2+xy=x^3+x^2+43x+216$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 116.12.0.?, 232.24.0.?, $\ldots$	$[(-135/8, 6183/8)]$
10005.l1	10005g2	10005.l	10005g	$2$	$2$	$ 3 \cdot 5 \cdot 23 \cdot 29 $	$ 3^{6} \cdot 5^{8} \cdot 23^{2} \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$2668$	$12$	$0$	$2.668730558$	$1$		$2$	$66048$	$1.528225$	$157264717208387436361/4368589453125$	$0.95575$	$5.04888$	$[1, 1, 0, -112452, -14561001]$	$y^2+xy=x^3+x^2-112452x-14561001$	2.3.0.a.1, 58.6.0.a.1, 92.6.0.?, 2668.12.0.?	$[(1338, 46581)]$
10005.l2	10005g1	10005.l	10005g	$2$	$2$	$ 3 \cdot 5 \cdot 23 \cdot 29 $	$ - 3^{12} \cdot 5^{4} \cdot 23 \cdot 29^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$2668$	$12$	$0$	$5.337461116$	$1$		$1$	$33024$	$1.181652$	$-33974761330806841/6424789539375$	$0.91815$	$4.16326$	$[1, 1, 0, -6747, -248544]$	$y^2+xy=x^3+x^2-6747x-248544$	2.3.0.a.1, 46.6.0.a.1, 116.6.0.?, 2668.12.0.?	$[(2957/4, 135171/4)]$
10005.m1	10005j1	10005.m	10005j	$2$	$2$	$ 3 \cdot 5 \cdot 23 \cdot 29 $	$ 3^{3} \cdot 5^{2} \cdot 23 \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$40020$	$12$	$0$	$1.420687301$	$1$		$3$	$1728$	$0.132029$	$5763259856089/450225$	$0.85441$	$3.18999$	$[1, 0, 1, -374, 2747]$	$y^2+xy+y=x^3-374x+2747$	2.3.0.a.1, 20.6.0.b.1, 4002.6.0.?, 40020.12.0.?	$[(15, 16)]$
10005.m2	10005j2	10005.m	10005j	$2$	$2$	$ 3 \cdot 5 \cdot 23 \cdot 29 $	$ - 3^{6} \cdot 5 \cdot 23^{2} \cdot 29^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$40020$	$12$	$0$	$0.710343650$	$1$		$4$	$3456$	$0.478603$	$-4681768588489/1621620405$	$0.86047$	$3.21836$	$[1, 0, 1, -349, 3137]$	$y^2+xy+y=x^3-349x+3137$	2.3.0.a.1, 20.6.0.a.1, 8004.6.0.?, 40020.12.0.?	$[(-5, 71)]$
10005.n1	10005c1	10005.n	10005c	$1$	$1$	$ 3 \cdot 5 \cdot 23 \cdot 29 $	$ 3 \cdot 5^{3} \cdot 23 \cdot 29 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$20010$	$2$	$0$	$2.812690896$	$1$		$0$	$1440$	$-0.272238$	$481890304/250125$	$0.84989$	$2.17062$	$[0, -1, 1, -16, -3]$	$y^2+y=x^3-x^2-16x-3$	20010.2.0.?	$[(-3/2, 19/2)]$
10008.a1	10008e1	10008.a	10008e	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 139 $	$ - 2^{10} \cdot 3^{17} \cdot 139 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$					$1668$	$2$	$0$	$3.075675533$	$1$		$2$	$101376$	$1.723433$	$-3439147732759876/24623433$	$0.97188$	$5.35191$	$[0, 0, 0, -285267, -58644610]$	$y^2=x^3-285267x-58644610$	1668.2.0.?	$[(3463, 201204)]$
10008.b1	10008g1	10008.b	10008g	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 139 $	$ - 2^{4} \cdot 3^{6} \cdot 139 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$					$278$	$2$	$0$	$0.462889396$	$1$		$4$	$1344$	$-0.128860$	$2048/139$	$0.75946$	$2.36072$	$[0, 0, 0, 6, 61]$	$y^2=x^3+6x+61$	278.2.0.?	$[(2, 9)]$
10008.c1	10008d1	10008.c	10008d	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 139 $	$ - 2^{4} \cdot 3^{8} \cdot 139 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$					$278$	$2$	$0$	$0.760997245$	$1$		$4$	$2304$	$0.059486$	$702464/1251$	$0.76172$	$2.55752$	$[0, 0, 0, 42, -151]$	$y^2=x^3+42x-151$	278.2.0.?	$[(4, 9)]$
10008.d1	10008c1	10008.d	10008c	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 139 $	$ - 2^{10} \cdot 3^{6} \cdot 139 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$					$278$	$2$	$0$	$0.949564868$	$1$		$2$	$2048$	$0.227539$	$237276/139$	$0.82950$	$2.81183$	$[0, 0, 0, 117, 54]$	$y^2=x^3+117x+54$	278.2.0.?	$[(15, 72)]$
10008.e1	10008a1	10008.e	10008a	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 139 $	$ - 2^{10} \cdot 3^{9} \cdot 139 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$					$1668$	$2$	$0$	$1$	$1$		$0$	$3072$	$0.526424$	$-12194500/3753$	$0.79234$	$3.28581$	$[0, 0, 0, -435, -4322]$	$y^2=x^3-435x-4322$	1668.2.0.?	$[]$
10008.f1	10008f1	10008.f	10008f	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 139 $	$ 2^{10} \cdot 3^{9} \cdot 139 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.6.0.4	2B	$3336$	$12$	$0$	$5.494918381$	$1$		$1$	$10752$	$0.939822$	$210094874500/3753$	$1.00904$	$4.29849$	$[0, 0, 0, -11235, -458354]$	$y^2=x^3-11235x-458354$	2.3.0.a.1, 8.6.0.d.1, 834.6.0.?, 3336.12.0.?	$[(3179/5, 51408/5)]$
10008.f2	10008f2	10008.f	10008f	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 139 $	$ - 2^{11} \cdot 3^{12} \cdot 139^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.6.0.5	2B	$3336$	$12$	$0$	$10.98983676$	$1$		$1$	$21504$	$1.286396$	$-95269531250/14085009$	$1.02921$	$4.31258$	$[0, 0, 0, -10875, -489098]$	$y^2=x^3-10875x-489098$	2.3.0.a.1, 8.6.0.a.1, 1668.6.0.?, 3336.12.0.?	$[(2078558/17, 2996382690/17)]$
10008.g1	10008b1	10008.g	10008b	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 139 $	$ - 2^{8} \cdot 3^{8} \cdot 139 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$					$278$	$2$	$0$	$1$	$1$		$0$	$3584$	$0.297168$	$-810448/1251$	$0.73962$	$2.93576$	$[0, 0, 0, -111, -862]$	$y^2=x^3-111x-862$	278.2.0.?	$[]$
10008.h1	10008h1	10008.h	10008h	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 139 $	$ - 2^{10} \cdot 3^{14} \cdot 139 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$					$278$	$2$	$0$	$1$	$1$		$0$	$26624$	$1.085367$	$-82013318212/911979$	$0.89596$	$4.19843$	$[0, 0, 0, -8211, 289118]$	$y^2=x^3-8211x+289118$	278.2.0.?	$[]$
10010.a1	10010f4	10010.a	10010f	$4$	$6$	$ 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{21} \cdot 5^{6} \cdot 7 \cdot 11^{4} \cdot 13^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$10920$	$96$	$1$	$1$	$1$		$0$	$1451520$	$3.240089$	$54497099771831721530744218729/16209843781074944000000$	$1.01097$	$7.18331$	$[1, 0, 1, -78985959, -270129426454]$	$y^2+xy+y=x^3-78985959x-270129426454$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 56.6.0.a.1, 168.48.0.?, $\ldots$	$[]$
10010.a2	10010f3	10010.a	10010f	$4$	$6$	$ 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{42} \cdot 5^{3} \cdot 7^{2} \cdot 11^{2} \cdot 13^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$10920$	$96$	$1$	$1$	$1$		$1$	$725760$	$2.893513$	$19272683606216463573689449/7161126378530668544000$	$0.99841$	$6.32055$	$[1, 0, 1, -5585639, -3040342038]$	$y^2+xy+y=x^3-5585639x-3040342038$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 56.6.0.d.1, 130.6.0.?, $\ldots$	$[]$
10010.a3	10010f2	10010.a	10010f	$4$	$6$	$ 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{7} \cdot 5^{2} \cdot 7^{3} \cdot 11^{12} \cdot 13^{2} $	$0$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$10920$	$96$	$1$	$1$	$1$		$4$	$483840$	$2.690781$	$2019051077229077416165369/582160888682835862400$	$0.98873$	$6.07563$	$[1, 0, 1, -2633144, 1164731142]$	$y^2+xy+y=x^3-2633144x+1164731142$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 56.6.0.a.1, 168.48.0.?, $\ldots$	$[]$
10010.a4	10010f1	10010.a	10010f	$4$	$6$	$ 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{14} \cdot 5 \cdot 7^{6} \cdot 11^{6} \cdot 13 $	$0$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$10920$	$96$	$1$	$1$	$1$		$5$	$241920$	$2.344208$	$1555006827939811751684089/221961497899581440$	$1.04866$	$6.04728$	$[1, 0, 1, -2413624, 1442906886]$	$y^2+xy+y=x^3-2413624x+1442906886$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 56.6.0.d.1, 130.6.0.?, $\ldots$	$[]$
10010.b1	10010h2	10010.b	10010h	$2$	$2$	$ 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{3} \cdot 5^{2} \cdot 7 \cdot 11^{4} \cdot 13^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$3640$	$12$	$0$	$0.396355067$	$1$		$8$	$7680$	$0.534422$	$10942526586601/3464060600$	$1.00314$	$3.25943$	$[1, 0, 1, -463, 2538]$	$y^2+xy+y=x^3-463x+2538$	2.3.0.a.1, 56.6.0.a.1, 260.6.0.?, 3640.12.0.?	$[(4, 25)]$
10010.b2	10010h1	10010.b	10010h	$2$	$2$	$ 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 $	$ 2^{6} \cdot 5 \cdot 7^{2} \cdot 11^{2} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$3640$	$12$	$0$	$0.792710135$	$1$		$7$	$3840$	$0.187848$	$672451615081/24664640$	$0.82597$	$2.95659$	$[1, 0, 1, -183, -934]$	$y^2+xy+y=x^3-183x-934$	2.3.0.a.1, 56.6.0.d.1, 130.6.0.?, 3640.12.0.?	$[(-8, 9)]$

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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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