LMFDB - Elliptic curves over $\Q$ of conductor 136710

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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	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
136710.a1	136710ek4	136710.a	136710ek	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ 2^{2} \cdot 3^{6} \cdot 5^{3} \cdot 7^{9} \cdot 31^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$13020$	$96$	$1$	$19.41776426$	$1$		$0$	$23887872$	$3.241405$	$84627468364197487202209/164811500$	$1.00033$	$6.00896$	$[1, -1, 0, -403367715, -3118069354919]$	$y^2+xy=x^3-x^2-403367715x-3118069354919$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 42.24.0-6.a.1.3, $\ldots$	$[(1805409831/89, 76323069556343/89)]$
136710.a2	136710ek3	136710.a	136710ek	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ - 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 7^{12} \cdot 31 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$13020$	$96$	$1$	$9.708882134$	$1$		$3$	$11943936$	$2.894829$	$-20660346545062922209/911779750000$	$0.97015$	$5.30560$	$[1, -1, 0, -25210215, -48716190419]$	$y^2+xy=x^3-x^2-25210215x-48716190419$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 42.24.0-6.a.1.3, $\ldots$	$[(227586, 108431497)]$
136710.a3	136710ek2	136710.a	136710ek	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ 2^{6} \cdot 3^{6} \cdot 5 \cdot 7^{7} \cdot 31^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$13020$	$96$	$1$	$6.472588089$	$1$		$2$	$7962624$	$2.692097$	$160677764412788449/1988008245440$	$0.94813$	$4.89491$	$[1, -1, 0, -4994775, -4249144355]$	$y^2+xy=x^3-x^2-4994775x-4249144355$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 42.24.0-6.a.1.4, $\ldots$	$[(3243, 115219)]$
136710.a4	136710ek1	136710.a	136710ek	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ - 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 7^{8} \cdot 31^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$13020$	$96$	$1$	$3.236294044$	$1$		$5$	$3981312$	$2.345524$	$-221335335649/149479321600$	$0.97372$	$4.35099$	$[1, -1, 0, -55575, -172328675]$	$y^2+xy=x^3-x^2-55575x-172328675$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 42.24.0-6.a.1.4, $\ldots$	$[(1038, 29273)]$
136710.b1	136710gi1	136710.b	136710gi	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ - 2^{7} \cdot 3^{9} \cdot 5^{3} \cdot 7^{3} \cdot 31 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$26040$	$2$	$0$	$1.767784387$	$1$		$4$	$322560$	$1.082628$	$-2803221/496000$	$1.01622$	$3.06940$	$[1, -1, 0, -555, 88325]$	$y^2+xy=x^3-x^2-555x+88325$	26040.2.0.?	$[(-47, 118)]$
136710.c1	136710fq1	136710.c	136710fq	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ - 2^{4} \cdot 3^{7} \cdot 5^{3} \cdot 7^{8} \cdot 31 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1860$	$2$	$0$	$1$	$1$		$0$	$3483648$	$2.139339$	$-155100823181521/186000$	$0.92402$	$4.63689$	$[1, -1, 0, -1806345, -933984675]$	$y^2+xy=x^3-x^2-1806345x-933984675$	1860.2.0.?	$[]$
136710.d1	136710el1	136710.d	136710el	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ - 2^{3} \cdot 3^{9} \cdot 5^{13} \cdot 7^{6} \cdot 31 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$3720$	$2$	$0$	$1$	$1$		$0$	$12355200$	$2.839458$	$-1354547383894636849/8173828125000$	$1.00308$	$5.07606$	$[1, -1, 0, -10165500, 12542433336]$	$y^2+xy=x^3-x^2-10165500x+12542433336$	3720.2.0.?	$[]$
136710.e1	136710em1	136710.e	136710em	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ - 2^{12} \cdot 3^{6} \cdot 5^{5} \cdot 7^{2} \cdot 31^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$20$	$2$	$0$	$1$	$1$		$0$	$1555200$	$1.904530$	$-382719859146912049/12300800000$	$0.96693$	$4.31010$	$[1, -1, 0, -498150, -135207500]$	$y^2+xy=x^3-x^2-498150x-135207500$	20.2.0.a.1	$[]$
136710.f1	136710en2	136710.f	136710en	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ 2^{9} \cdot 3^{6} \cdot 5^{3} \cdot 7^{7} \cdot 31^{10} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$8680$	$12$	$0$	$1$	$1$		$0$	$106168320$	$4.157867$	$637362635322644797334049/367193472567398848000$	$1.11362$	$6.17970$	$[1, -1, 0, -790665675, 572654657861]$	$y^2+xy=x^3-x^2-790665675x+572654657861$	2.3.0.a.1, 124.6.0.?, 280.6.0.?, 8680.12.0.?	$[]$
136710.f2	136710en1	136710.f	136710en	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ - 2^{18} \cdot 3^{6} \cdot 5^{6} \cdot 7^{8} \cdot 31^{5} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$8680$	$12$	$0$	$1$	$1$		$1$	$53084160$	$3.811291$	$9884598436907013225951/5745985122304000000$	$1.10665$	$5.82738$	$[1, -1, 0, 197174325, 71424641861]$	$y^2+xy=x^3-x^2+197174325x+71424641861$	2.3.0.a.1, 62.6.0.b.1, 280.6.0.?, 8680.12.0.?	$[]$
136710.g1	136710gj1	136710.g	136710gj	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ 2^{2} \cdot 3^{9} \cdot 5 \cdot 7^{6} \cdot 31 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3720$	$12$	$0$	$2.415088862$	$1$		$5$	$165888$	$1.035378$	$1860867/620$	$0.82565$	$3.04420$	$[1, -1, 0, -3390, 50336]$	$y^2+xy=x^3-x^2-3390x+50336$	2.3.0.a.1, 24.6.0.c.1, 930.6.0.?, 1240.6.0.?, 3720.12.0.?	$[(65, 286)]$
136710.g2	136710gj2	136710.g	136710gj	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ - 2 \cdot 3^{9} \cdot 5^{2} \cdot 7^{6} \cdot 31^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3720$	$12$	$0$	$1.207544431$	$1$		$6$	$331776$	$1.381950$	$45499293/48050$	$0.90596$	$3.31451$	$[1, -1, 0, 9840, 338750]$	$y^2+xy=x^3-x^2+9840x+338750$	2.3.0.a.1, 24.6.0.b.1, 1240.6.0.?, 1860.6.0.?, 3720.12.0.?	$[(23, 748)]$
136710.h1	136710gk1	136710.h	136710gk	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ 2^{6} \cdot 3^{3} \cdot 5^{3} \cdot 7^{10} \cdot 31 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3720$	$12$	$0$	$6.853987698$	$1$		$3$	$5750784$	$2.675247$	$805329625858859013723/595448000$	$1.02024$	$5.33664$	$[1, -1, 0, -28492725, 58546635125]$	$y^2+xy=x^3-x^2-28492725x+58546635125$	2.3.0.a.1, 24.6.0.c.1, 930.6.0.?, 1240.6.0.?, 3720.12.0.?	$[(-974, 292675)]$
136710.h2	136710gk2	136710.h	136710gk	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ - 2^{3} \cdot 3^{3} \cdot 5^{6} \cdot 7^{14} \cdot 31^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3720$	$12$	$0$	$3.426993849$	$1$		$2$	$11501568$	$3.021820$	$-804831144824317496283/692496720125000$	$1.02026$	$5.33671$	$[1, -1, 0, -28486845, 58572002621]$	$y^2+xy=x^3-x^2-28486845x+58572002621$	2.3.0.a.1, 24.6.0.b.1, 1240.6.0.?, 1860.6.0.?, 3720.12.0.?	$[(3005, 8371)]$
136710.i1	136710eo1	136710.i	136710eo	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ 2^{2} \cdot 3^{8} \cdot 5^{2} \cdot 7^{7} \cdot 31 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$5208$	$12$	$0$	$2.041000627$	$1$		$5$	$737280$	$1.444931$	$151334226289/195300$	$0.99233$	$3.72157$	$[1, -1, 0, -48960, -4152884]$	$y^2+xy=x^3-x^2-48960x-4152884$	2.3.0.a.1, 24.6.0.c.1, 434.6.0.?, 5208.12.0.?	$[(-127, -4)]$
136710.i2	136710eo2	136710.i	136710eo	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ - 2 \cdot 3^{7} \cdot 5^{4} \cdot 7^{8} \cdot 31^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$5208$	$12$	$0$	$4.082001254$	$1$		$2$	$1474560$	$1.791504$	$-58818484369/176583750$	$0.87690$	$3.79578$	$[1, -1, 0, -35730, -6457550]$	$y^2+xy=x^3-x^2-35730x-6457550$	2.3.0.a.1, 24.6.0.b.1, 868.6.0.?, 5208.12.0.?	$[(755, 19535)]$
136710.j1	136710ep1	136710.j	136710ep	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ - 2^{37} \cdot 3^{14} \cdot 5 \cdot 7^{2} \cdot 31^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$40$	$2$	$0$	$1$	$9$	$3$	$0$	$14321664$	$3.208248$	$-80246864114981006021089/4332846158771650560$	$1.01347$	$5.35381$	$[1, -1, 0, -29594385, -64786197155]$	$y^2+xy=x^3-x^2-29594385x-64786197155$	40.2.0.a.1	$[]$
136710.k1	136710fr1	136710.k	136710fr	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ - 2^{5} \cdot 3^{9} \cdot 5^{7} \cdot 7^{8} \cdot 31 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$3720$	$2$	$0$	$1$	$1$		$0$	$6773760$	$2.790195$	$-194047101462158161/2092500000$	$0.96373$	$5.23997$	$[1, -1, 0, -19463985, -33047291075]$	$y^2+xy=x^3-x^2-19463985x-33047291075$	3720.2.0.?	$[]$
136710.l1	136710gl2	136710.l	136710gl	$2$	$3$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ - 2^{21} \cdot 3^{9} \cdot 5 \cdot 7^{6} \cdot 31 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$26040$	$16$	$0$	$1$	$1$		$0$	$2286144$	$2.150909$	$-1482713947827/325058560$	$0.94513$	$4.22042$	$[1, -1, 0, -314295, 79714781]$	$y^2+xy=x^3-x^2-314295x+79714781$	3.4.0.a.1, 21.8.0-3.a.1.2, 3720.8.0.?, 26040.16.0.?	$[]$
136710.l2	136710gl1	136710.l	136710gl	$2$	$3$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ - 2^{7} \cdot 3^{3} \cdot 5^{3} \cdot 7^{6} \cdot 31^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$26040$	$16$	$0$	$1$	$1$		$0$	$762048$	$1.601604$	$722458663317/476656000$	$0.97492$	$3.57505$	$[1, -1, 0, 27480, -663104]$	$y^2+xy=x^3-x^2+27480x-663104$	3.4.0.a.1, 21.8.0-3.a.1.1, 3720.8.0.?, 26040.16.0.?	$[]$
136710.m1	136710gr1	136710.m	136710gr	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ - 2^{6} \cdot 3^{9} \cdot 5 \cdot 7^{4} \cdot 31 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1860$	$2$	$0$	$0.912839796$	$1$		$6$	$214272$	$0.977435$	$-91182483/9920$	$0.80032$	$3.05877$	$[1, -1, 0, -3390, -81964]$	$y^2+xy=x^3-x^2-3390x-81964$	1860.2.0.?	$[(100, 706)]$
136710.n1	136710eq2	136710.n	136710eq	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ 2^{5} \cdot 3^{38} \cdot 5^{7} \cdot 7^{8} \cdot 31^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1240$	$12$	$0$	$195.3978688$	$1$		$0$	$1651507200$	$5.403404$	$27069048228791329225488740612449/218142169182110852122500000$	$1.04760$	$7.66498$	$[1, -1, 0, -275859755775, -55377705933241875]$	$y^2+xy=x^3-x^2-275859755775x-55377705933241875$	2.3.0.a.1, 40.6.0.b.1, 124.6.0.?, 1240.12.0.?	$[(37481765675262476987924148416819171740213443146696537418138394560931207882072447673437/6616092883225335847130618931666746203579, 167809028595338315689087974627370188559715105514364970612670025586861618308459686201570098973344058186590273627722563896175627486/6616092883225335847130618931666746203579)]$
136710.n2	136710eq1	136710.n	136710eq	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ - 2^{10} \cdot 3^{22} \cdot 5^{14} \cdot 7^{10} \cdot 31 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1240$	$12$	$0$	$97.69893443$	$1$		$1$	$825753600$	$5.056824$	$-244787659433411960540612449/20025065567193750000000000$	$1.06180$	$7.10220$	$[1, -1, 0, -5747255775, -2000936875741875]$	$y^2+xy=x^3-x^2-5747255775x-2000936875741875$	2.3.0.a.1, 40.6.0.c.1, 62.6.0.b.1, 1240.12.0.?	$[(357011440410972538416821144216582169689944413/21526487916586088053, 6694211724082463471161976961778701603840422385685525158369266101698/21526487916586088053)]$
136710.o1	136710er2	136710.o	136710er	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ 2^{3} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 31^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.6	2B	$248$	$12$	$0$	$1$	$1$		$0$	$884736$	$1.807201$	$133974081659809/192200$	$0.95835$	$4.29540$	$[1, -1, 0, -470115, -123948819]$	$y^2+xy=x^3-x^2-470115x-123948819$	2.3.0.a.1, 8.6.0.b.1, 124.6.0.?, 248.12.0.?	$[]$
136710.o2	136710er1	136710.o	136710er	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ - 2^{6} \cdot 3^{6} \cdot 5^{4} \cdot 7^{6} \cdot 31 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.1	2B	$248$	$12$	$0$	$1$	$1$		$1$	$442368$	$1.460627$	$-31824875809/1240000$	$0.89741$	$3.59523$	$[1, -1, 0, -29115, -1968219]$	$y^2+xy=x^3-x^2-29115x-1968219$	2.3.0.a.1, 8.6.0.c.1, 62.6.0.b.1, 248.12.0.?	$[]$
136710.p1	136710es2	136710.p	136710es	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ 2 \cdot 3^{6} \cdot 5 \cdot 7^{8} \cdot 31^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1240$	$12$	$0$	$6.448545710$	$1$		$2$	$1572864$	$1.989111$	$1972359673792929/470890$	$0.97812$	$4.52282$	$[1, -1, 0, -1152195, -475745005]$	$y^2+xy=x^3-x^2-1152195x-475745005$	2.3.0.a.1, 40.6.0.b.1, 124.6.0.?, 1240.12.0.?	$[(3803, 222004)]$
136710.p2	136710es1	136710.p	136710es	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ - 2^{2} \cdot 3^{6} \cdot 5^{2} \cdot 7^{10} \cdot 31 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1240$	$12$	$0$	$3.224272855$	$1$		$5$	$786432$	$1.642538$	$-476196576129/7443100$	$0.88109$	$3.82076$	$[1, -1, 0, -71745, -7477975]$	$y^2+xy=x^3-x^2-71745x-7477975$	2.3.0.a.1, 40.6.0.c.1, 62.6.0.b.1, 1240.12.0.?	$[(373, 4003)]$
136710.q1	136710et1	136710.q	136710et	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ - 2^{15} \cdot 3^{7} \cdot 5 \cdot 7^{7} \cdot 31 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$26040$	$2$	$0$	$2.712113477$	$1$		$2$	$921600$	$1.782248$	$-461710681489/106659840$	$0.86796$	$3.84430$	$[1, -1, 0, -71010, 8632980]$	$y^2+xy=x^3-x^2-71010x+8632980$	26040.2.0.?	$[(-33, 3324)]$
136710.r1	136710gm1	136710.r	136710gm	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ - 2^{23} \cdot 3^{3} \cdot 5^{13} \cdot 7^{3} \cdot 31^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$26040$	$2$	$0$	$1$	$1$		$0$	$98282496$	$4.032837$	$-690546177988887689439200172909/305059840000000000000$	$1.06848$	$6.58239$	$[1, -1, 0, -3867013005, 92558490756325]$	$y^2+xy=x^3-x^2-3867013005x+92558490756325$	26040.2.0.?	$[]$
136710.s1	136710eu1	136710.s	136710eu	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ 2^{5} \cdot 3^{6} \cdot 5^{5} \cdot 7^{3} \cdot 31 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$8680$	$2$	$0$	$1$	$1$		$0$	$192000$	$0.972111$	$5668315687/3100000$	$0.97109$	$2.95017$	$[1, -1, 0, -2340, 10800]$	$y^2+xy=x^3-x^2-2340x+10800$	8680.2.0.?	$[]$
136710.t1	136710ev1	136710.t	136710ev	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ - 2^{9} \cdot 3^{15} \cdot 5 \cdot 7^{10} \cdot 31 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$3720$	$2$	$0$	$1$	$1$		$0$	$4354560$	$2.622669$	$1857060666671/1562042880$	$0.93450$	$4.59179$	$[1, -1, 0, 1512180, -482364464]$	$y^2+xy=x^3-x^2+1512180x-482364464$	3720.2.0.?	$[]$
136710.u1	136710gn1	136710.u	136710gn	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ - 2^{5} \cdot 3^{9} \cdot 5 \cdot 7^{6} \cdot 31^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$3720$	$2$	$0$	$8.512994281$	$1$		$2$	$11793600$	$2.951893$	$-28485240894685827/4402018257760$	$1.07217$	$5.04733$	$[1, -1, 0, -8417670, -10579001644]$	$y^2+xy=x^3-x^2-8417670x-10579001644$	3720.2.0.?	$[(489355, 342072001)]$
136710.v1	136710ew1	136710.v	136710ew	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 7^{3} \cdot 31 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2604$	$12$	$0$	$1.020560702$	$1$		$21$	$114688$	$0.694423$	$198155287/111600$	$0.87160$	$2.66658$	$[1, -1, 0, -765, 1525]$	$y^2+xy=x^3-x^2-765x+1525$	2.3.0.a.1, 84.6.0.?, 372.6.0.?, 434.6.0.?, 2604.12.0.?	$[(65, 440), (30, 55)]$
136710.v2	136710ew2	136710.v	136710ew	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ - 2^{2} \cdot 3^{7} \cdot 5^{4} \cdot 7^{3} \cdot 31^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2604$	$12$	$0$	$1.020560702$	$1$		$26$	$229376$	$1.040997$	$12119452073/7207500$	$0.91653$	$3.01443$	$[1, -1, 0, 3015, 9841]$	$y^2+xy=x^3-x^2+3015x+9841$	2.3.0.a.1, 84.6.0.?, 372.6.0.?, 868.6.0.?, 2604.12.0.?	$[(20, 269), (2, 125)]$
136710.w1	136710ex2	136710.w	136710ex	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ 2 \cdot 3^{22} \cdot 5 \cdot 7^{9} \cdot 31^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$8680$	$12$	$0$	$1$	$1$		$0$	$9437184$	$2.932442$	$307121972704944769/141891893161830$	$0.96944$	$4.94969$	$[1, -1, 0, -6198705, 2669049711]$	$y^2+xy=x^3-x^2-6198705x+2669049711$	2.3.0.a.1, 124.6.0.?, 280.6.0.?, 8680.12.0.?	$[]$
136710.w2	136710ex1	136710.w	136710ex	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ - 2^{2} \cdot 3^{14} \cdot 5^{2} \cdot 7^{12} \cdot 31 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$8680$	$12$	$0$	$1$	$1$		$1$	$4718592$	$2.585869$	$3275486903156831/2392874775900$	$0.94919$	$4.56571$	$[1, -1, 0, 1364445, 313884801]$	$y^2+xy=x^3-x^2+1364445x+313884801$	2.3.0.a.1, 62.6.0.b.1, 280.6.0.?, 8680.12.0.?	$[]$
136710.x1	136710ey2	136710.x	136710ey	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ 2^{2} \cdot 3^{8} \cdot 5^{2} \cdot 7^{6} \cdot 31 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1860$	$12$	$0$	$1$	$1$		$0$	$921600$	$1.675686$	$31942518433489/27900$	$0.94953$	$4.17417$	$[1, -1, 0, -291510, -60507000]$	$y^2+xy=x^3-x^2-291510x-60507000$	2.3.0.a.1, 60.6.0.c.1, 124.6.0.?, 1860.12.0.?	$[]$
136710.x2	136710ey1	136710.x	136710ey	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ - 2^{4} \cdot 3^{7} \cdot 5 \cdot 7^{6} \cdot 31^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1860$	$12$	$0$	$1$	$1$		$1$	$460800$	$1.329113$	$-7633736209/230640$	$0.88317$	$3.47330$	$[1, -1, 0, -18090, -956124]$	$y^2+xy=x^3-x^2-18090x-956124$	2.3.0.a.1, 30.6.0.a.1, 124.6.0.?, 1860.12.0.?	$[]$
136710.y1	136710fs1	136710.y	136710fs	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ - 2 \cdot 3^{15} \cdot 5^{5} \cdot 7^{4} \cdot 31^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$3720$	$2$	$0$	$1$	$1$		$0$	$8294400$	$2.861885$	$269837172664860479/3521922369581250$	$1.01851$	$4.86930$	$[1, -1, 0, 1622430, 3692429950]$	$y^2+xy=x^3-x^2+1622430x+3692429950$	3720.2.0.?	$[]$
136710.z1	136710ez4	136710.z	136710ez	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ 2^{2} \cdot 3^{7} \cdot 5^{8} \cdot 7^{7} \cdot 31 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$5208$	$48$	$0$	$22.91934914$	$1$		$6$	$4718592$	$2.471039$	$297073419162439249/1017187500$	$0.95094$	$4.94688$	$[1, -1, 0, -6130350, -5840645000]$	$y^2+xy=x^3-x^2-6130350x-5840645000$	2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0-4.c.1.2, 168.24.0.?, $\ldots$	$[(-1429, 845), (2991, 49244)]$
136710.z2	136710ez2	136710.z	136710ez	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 7^{8} \cdot 31^{2} $	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$2604$	$48$	$0$	$5.729837285$	$1$		$20$	$2359296$	$2.124466$	$75627935783569/4238010000$	$0.96948$	$4.24705$	$[1, -1, 0, -388530, -88489724]$	$y^2+xy=x^3-x^2-388530x-88489724$	2.6.0.a.1, 12.12.0.b.1, 28.12.0-2.a.1.1, 84.24.0.?, 124.12.0.?, $\ldots$	$[(-400, 1874), (-367, 2321)]$
136710.z3	136710ez1	136710.z	136710ez	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ 2^{8} \cdot 3^{10} \cdot 5^{2} \cdot 7^{7} \cdot 31 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$5208$	$48$	$0$	$1.432459321$	$1$		$21$	$1179648$	$1.777891$	$461710681489/112492800$	$0.94266$	$3.81590$	$[1, -1, 0, -71010, 5559700]$	$y^2+xy=x^3-x^2-71010x+5559700$	2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 56.12.0-4.c.1.5, 84.12.0.?, $\ldots$	$[(23, 1973), (65, 1070)]$
136710.z4	136710ez3	136710.z	136710ez	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ - 2^{2} \cdot 3^{7} \cdot 5^{2} \cdot 7^{10} \cdot 31^{4} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$5208$	$48$	$0$	$1.432459321$	$1$		$24$	$4718592$	$2.471039$	$26227192752431/665212176300$	$0.95249$	$4.47521$	$[1, -1, 0, 272970, -359307824]$	$y^2+xy=x^3-x^2+272970x-359307824$	2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 28.12.0-4.c.1.1, $\ldots$	$[(1073, 33641), (842, 21188)]$
136710.ba1	136710fa4	136710.ba	136710fa	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ 2^{2} \cdot 3^{6} \cdot 5^{3} \cdot 7^{6} \cdot 31^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$13020$	$96$	$1$	$7.061773421$	$1$		$2$	$3981312$	$2.451485$	$947226559343329/443751840500$	$0.99256$	$4.46080$	$[1, -1, 0, -902295, 144201721]$	$y^2+xy=x^3-x^2-902295x+144201721$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 21.8.0-3.a.1.1, $\ldots$	$[(7821, 682702)]$
136710.ba2	136710fa2	136710.ba	136710fa	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ 2^{6} \cdot 3^{6} \cdot 5 \cdot 7^{6} \cdot 31^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$13020$	$96$	$1$	$2.353924473$	$1$		$4$	$1327104$	$1.902178$	$549131937598369/307520$	$0.96644$	$4.41470$	$[1, -1, 0, -752355, 251366485]$	$y^2+xy=x^3-x^2-752355x+251366485$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 21.8.0-3.a.1.2, $\ldots$	$[(513, 209)]$
136710.ba3	136710fa1	136710.ba	136710fa	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ - 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 31 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$13020$	$96$	$1$	$1.176962236$	$1$		$7$	$663552$	$1.555603$	$-131794519969/3174400$	$0.90964$	$3.71333$	$[1, -1, 0, -46755, 3983125]$	$y^2+xy=x^3-x^2-46755x+3983125$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.c.1, 21.8.0-3.a.1.2, $\ldots$	$[(65, 1070)]$
136710.ba4	136710fa3	136710.ba	136710fa	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ - 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 7^{6} \cdot 31^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$13020$	$96$	$1$	$3.530886710$	$1$		$5$	$1990656$	$2.104908$	$10347405816671/7447750000$	$0.97053$	$4.07885$	$[1, -1, 0, 200205, 16973221]$	$y^2+xy=x^3-x^2+200205x+16973221$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.c.1, 21.8.0-3.a.1.1, $\ldots$	$[(-54, 2477)]$
136710.bb1	136710fb4	136710.bb	136710fb	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ 2^{2} \cdot 3^{12} \cdot 5^{6} \cdot 7^{6} \cdot 31^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$13020$	$96$	$1$	$16.15018999$	$1$		$0$	$24883200$	$3.327579$	$28379906689597370652529/1357352437500$	$1.03569$	$5.91657$	$[1, -1, 0, -280242720, -1805646601004]$	$y^2+xy=x^3-x^2-280242720x-1805646601004$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 42.24.0-6.a.1.3, $\ldots$	$[(17806686398/31, 2375877422392706/31)]$
136710.bb2	136710fb3	136710.bb	136710fb	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ - 2^{4} \cdot 3^{9} \cdot 5^{3} \cdot 7^{6} \cdot 31^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$13020$	$96$	$1$	$32.30037999$	$1$		$1$	$12441600$	$2.981007$	$-6894246873502147249/47925198774000$	$1.00931$	$5.21379$	$[1, -1, 0, -17486100, -28308272000]$	$y^2+xy=x^3-x^2-17486100x-28308272000$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 30.24.0.b.1, $\ldots$	$[(639442585932932/11749, 16165949544882425183396/11749)]$
136710.bb3	136710fb2	136710.bb	136710fb	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 31 $	$ 2^{6} \cdot 3^{24} \cdot 5^{2} \cdot 7^{6} \cdot 31 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$13020$	$96$	$1$	$5.383396665$	$1$		$2$	$8294400$	$2.778275$	$68663623745397169/19216056254400$	$1.06957$	$4.82302$	$[1, -1, 0, -3762180, -2017439600]$	$y^2+xy=x^3-x^2-3762180x-2017439600$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 42.24.0-6.a.1.4, $\ldots$	$[(-1312, 26324)]$

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Elliptic curves over $\Q$
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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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