LMFDB - Elliptic curves over $\Q$ of conductor 10710

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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
10710.a1	10710f5	10710.a	10710f	$6$	$8$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ 2^{3} \cdot 3^{14} \cdot 5^{8} \cdot 7^{4} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.88	2B	$4080$	$192$	$1$	$1$	$1$		$0$	$589824$	$2.683964$	$585196747116290735872321/836876053125000$	$1.01749$	$6.60829$	$[1, -1, 0, -15683220, 23909564200]$	$y^2+xy=x^3-x^2-15683220x+23909564200$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.1, 24.48.0-8.bb.1.1, $\ldots$	$[]$
10710.a2	10710f3	10710.a	10710f	$6$	$8$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ 2^{6} \cdot 3^{7} \cdot 5 \cdot 7^{2} \cdot 17^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.90	2B	$4080$	$192$	$1$	$1$	$1$		$0$	$294912$	$2.337391$	$1782900110862842086081/328139630024640$	$0.99949$	$5.98390$	$[1, -1, 0, -2273580, -1318734320]$	$y^2+xy=x^3-x^2-2273580x-1318734320$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0-4.c.1.2, 20.12.0-4.c.1.1, $\ldots$	$[]$
10710.a3	10710f4	10710.a	10710f	$6$	$8$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ 2^{6} \cdot 3^{10} \cdot 5^{4} \cdot 7^{8} \cdot 17^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.10	2Cs	$2040$	$192$	$1$	$1$	$1$		$2$	$294912$	$2.337391$	$146796951366228945601/5397929064360000$	$0.99129$	$5.71480$	$[1, -1, 0, -989100, 366645136]$	$y^2+xy=x^3-x^2-989100x+366645136$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 12.24.0-4.b.1.1, 24.48.0-8.e.2.1, $\ldots$	$[]$
10710.a4	10710f2	10710.a	10710f	$6$	$8$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ 2^{12} \cdot 3^{8} \cdot 5^{2} \cdot 7^{4} \cdot 17^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.18	2Cs	$2040$	$192$	$1$	$1$	$1$		$2$	$147456$	$1.990818$	$584614687782041281/184812061593600$	$0.97691$	$5.11927$	$[1, -1, 0, -156780, -16055600]$	$y^2+xy=x^3-x^2-156780x-16055600$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0-4.b.1.3, 20.24.0-4.b.1.2, $\ldots$	$[]$
10710.a5	10710f1	10710.a	10710f	$6$	$8$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ - 2^{24} \cdot 3^{7} \cdot 5 \cdot 7^{2} \cdot 17^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.13	2B	$4080$	$192$	$1$	$1$	$1$		$1$	$73728$	$1.644245$	$3168685387909439/3563732336640$	$0.95941$	$4.55696$	$[1, -1, 0, 27540, -1715504]$	$y^2+xy=x^3-x^2+27540x-1715504$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0.e.2, $\ldots$	$[]$
10710.a6	10710f6	10710.a	10710f	$6$	$8$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ - 2^{3} \cdot 3^{8} \cdot 5^{2} \cdot 7^{16} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.1	2B	$4080$	$192$	$1$	$1$	$4$	$2$	$0$	$589824$	$2.683964$	$8854313460877886399/1016927675429790600$	$1.03685$	$5.98179$	$[1, -1, 0, 387900, 1306585336]$	$y^2+xy=x^3-x^2+387900x+1306585336$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0.e.1, $\ldots$	$[]$
10710.b1	10710g1	10710.b	10710g	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ - 2^{11} \cdot 3^{6} \cdot 5^{3} \cdot 7^{2} \cdot 17 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$680$	$2$	$0$	$5.615405981$	$1$		$2$	$15840$	$1.021719$	$-79290863149681/213248000$	$0.91840$	$4.16001$	$[1, -1, 0, -8055, -276899]$	$y^2+xy=x^3-x^2-8055x-276899$	680.2.0.?	$[(675, 17026)]$
10710.c1	10710a2	10710.c	10710a	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ 2^{14} \cdot 3^{3} \cdot 5^{6} \cdot 7^{8} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$1$	$1$		$0$	$301056$	$2.474392$	$357957021261376014720507/25088413952000000$	$1.02843$	$6.20012$	$[1, -1, 0, -4437690, 3599077300]$	$y^2+xy=x^3-x^2-4437690x+3599077300$	2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[]$
10710.c2	10710a1	10710.c	10710a	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ - 2^{28} \cdot 3^{3} \cdot 5^{3} \cdot 7^{4} \cdot 17^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$1$	$1$		$1$	$150528$	$2.127819$	$-71800566610391670267/23283051266048000$	$1.00496$	$5.33048$	$[1, -1, 0, -259770, 63721396]$	$y^2+xy=x^3-x^2-259770x+63721396$	2.3.0.a.1, 30.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[]$
10710.d1	10710b2	10710.d	10710b	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ 2^{2} \cdot 3^{9} \cdot 5^{2} \cdot 7^{3} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$7140$	$12$	$0$	$0.310353437$	$1$		$12$	$59904$	$1.547270$	$43297905398453523/9912700$	$1.02791$	$5.19396$	$[1, -1, 0, -197520, 33837596]$	$y^2+xy=x^3-x^2-197520x+33837596$	2.3.0.a.1, 42.6.0.a.1, 1020.6.0.?, 2380.6.0.?, 7140.12.0.?	$[(250, 64)]$
10710.d2	10710b1	10710.d	10710b	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ - 2^{4} \cdot 3^{9} \cdot 5 \cdot 7^{6} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$7140$	$12$	$0$	$0.620706875$	$1$		$9$	$29952$	$1.200697$	$-10456049121363/160002640$	$0.98436$	$4.29918$	$[1, -1, 0, -12300, 535040]$	$y^2+xy=x^3-x^2-12300x+535040$	2.3.0.a.1, 84.6.0.?, 510.6.0.?, 2380.6.0.?, 7140.12.0.?	$[(61, 64)]$
10710.e1	10710h3	10710.e	10710h	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ 2^{4} \cdot 3^{7} \cdot 5^{3} \cdot 7^{4} \cdot 17^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$14280$	$48$	$0$	$0.962788701$	$1$		$6$	$98304$	$1.841616$	$3725035528036823281/1203203526000$	$0.97596$	$5.31885$	$[1, -1, 0, -290655, -60224099]$	$y^2+xy=x^3-x^2-290655x-60224099$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 20.12.0-4.c.1.1, 60.24.0-60.h.1.2, $\ldots$	$[(-310, 29)]$
10710.e2	10710h2	10710.e	10710h	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 7^{2} \cdot 17^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$7140$	$48$	$0$	$1.925577403$	$1$		$8$	$49152$	$1.495041$	$1336852858103281/509796000000$	$0.94988$	$4.46396$	$[1, -1, 0, -20655, -662099]$	$y^2+xy=x^3-x^2-20655x-662099$	2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 60.24.0-60.a.1.4, 476.12.0.?, $\ldots$	$[(-85, 731)]$
10710.e3	10710h1	10710.e	10710h	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ 2^{16} \cdot 3^{7} \cdot 5^{3} \cdot 7 \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$14280$	$48$	$0$	$3.851154806$	$1$		$3$	$24576$	$1.148468$	$115650783909361/2924544000$	$0.92143$	$4.20019$	$[1, -1, 0, -9135, 330925]$	$y^2+xy=x^3-x^2-9135x+330925$	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.?, $\ldots$	$[(143, 1319)]$
10710.e4	10710h4	10710.e	10710h	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ - 2^{4} \cdot 3^{10} \cdot 5^{12} \cdot 7 \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$14280$	$48$	$0$	$3.851154806$	$1$		$2$	$98304$	$1.841616$	$41709358422320399/37652343750000$	$0.97317$	$4.83473$	$[1, -1, 0, 65025, -4791875]$	$y^2+xy=x^3-x^2+65025x-4791875$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$	$[(251, 5099)]$
10710.f1	10710d2	10710.f	10710d	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ 2^{4} \cdot 3^{3} \cdot 5^{6} \cdot 7 \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$7140$	$12$	$0$	$0.228194637$	$1$		$12$	$9216$	$0.725140$	$18708817969323/505750000$	$0.91558$	$3.64868$	$[1, -1, 0, -1659, 25813]$	$y^2+xy=x^3-x^2-1659x+25813$	2.3.0.a.1, 42.6.0.a.1, 1020.6.0.?, 2380.6.0.?, 7140.12.0.?	$[(2, 149)]$
10710.f2	10710d1	10710.f	10710d	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{3} \cdot 7^{2} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$7140$	$12$	$0$	$0.456389275$	$1$		$9$	$4608$	$0.378566$	$36926037/26656000$	$0.94816$	$3.00124$	$[1, -1, 0, 21, 1285]$	$y^2+xy=x^3-x^2+21x+1285$	2.3.0.a.1, 84.6.0.?, 510.6.0.?, 2380.6.0.?, 7140.12.0.?	$[(6, 37)]$
10710.g1	10710i1	10710.g	10710i	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ - 2^{5} \cdot 3^{6} \cdot 5 \cdot 7^{2} \cdot 17 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$680$	$2$	$0$	$1.408589992$	$1$		$4$	$3360$	$0.221568$	$206425071/133280$	$0.85516$	$2.77372$	$[1, -1, 0, 111, 125]$	$y^2+xy=x^3-x^2+111x+125$	680.2.0.?	$[(-1, 4)]$
10710.h1	10710c2	10710.h	10710c	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ 2^{2} \cdot 3^{9} \cdot 5^{2} \cdot 7^{4} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$1$	$1$		$0$	$21504$	$1.022039$	$5055680349747/4081700$	$0.90404$	$4.21805$	$[1, -1, 0, -9654, -362440]$	$y^2+xy=x^3-x^2-9654x-362440$	2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[]$
10710.h2	10710c1	10710.h	10710c	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ - 2^{4} \cdot 3^{9} \cdot 5 \cdot 7^{2} \cdot 17^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$1$	$1$		$1$	$10752$	$0.675467$	$-599077107/1132880$	$0.83852$	$3.40012$	$[1, -1, 0, -474, -8092]$	$y^2+xy=x^3-x^2-474x-8092$	2.3.0.a.1, 30.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[]$
10710.i1	10710j3	10710.i	10710j	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ 2^{7} \cdot 3^{6} \cdot 5^{8} \cdot 7 \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.9	2B	$168$	$48$	$0$	$5.646932570$	$1$		$2$	$344064$	$2.454502$	$291306206119284545407569/101150000000$	$1.03940$	$6.53311$	$[1, -1, 0, -12429429, -16863389515]$	$y^2+xy=x^3-x^2-12429429x-16863389515$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 24.24.0-8.p.1.5, 56.24.0.bp.1, $\ldots$	$[(7471, 550552)]$
10710.i2	10710j4	10710.i	10710j	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ 2^{7} \cdot 3^{6} \cdot 5^{2} \cdot 7^{4} \cdot 17^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.15	2B	$168$	$48$	$0$	$5.646932570$	$1$		$2$	$344064$	$2.454502$	$118495863754334673489/53596139570691200$	$1.03328$	$5.69172$	$[1, -1, 0, -920949, -158751307]$	$y^2+xy=x^3-x^2-920949x-158751307$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 12.12.0-4.c.1.1, 24.24.0-8.k.1.1, $\ldots$	$[(1417, 36439)]$
10710.i3	10710j2	10710.i	10710j	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ 2^{14} \cdot 3^{6} \cdot 5^{4} \cdot 7^{2} \cdot 17^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.3	2Cs	$168$	$48$	$0$	$2.823466285$	$1$		$8$	$172032$	$2.107929$	$71149857462630609489/41907496960000$	$1.06891$	$5.63675$	$[1, -1, 0, -776949, -263266507]$	$y^2+xy=x^3-x^2-776949x-263266507$	2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.2, 28.12.0.b.1, $\ldots$	$[(-503, 544)]$
10710.i4	10710j1	10710.i	10710j	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ - 2^{28} \cdot 3^{6} \cdot 5^{2} \cdot 7 \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.9	2B	$168$	$48$	$0$	$5.646932570$	$1$		$3$	$86016$	$1.761356$	$-9470133471933009/13576123187200$	$1.05689$	$4.80926$	$[1, -1, 0, -39669, -5660875]$	$y^2+xy=x^3-x^2-39669x-5660875$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.2, 14.6.0.b.1, $\ldots$	$[(1771, 73117)]$
10710.j1	10710o4	10710.j	10710o	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ 2 \cdot 3^{8} \cdot 5 \cdot 7^{4} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$14280$	$48$	$0$	$1.643290152$	$1$		$4$	$32768$	$1.271059$	$60111445514713489/3673530$	$0.95688$	$4.87412$	$[1, -1, 0, -73449, 7680123]$	$y^2+xy=x^3-x^2-73449x+7680123$	2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 168.12.0.?, 204.12.0.?, $\ldots$	$[(159, -30)]$
10710.j2	10710o3	10710.j	10710o	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ 2 \cdot 3^{14} \cdot 5 \cdot 7 \cdot 17^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$14280$	$48$	$0$	$1.643290152$	$1$		$6$	$32768$	$1.271059$	$70593496254289/38358689670$	$0.95600$	$4.14699$	$[1, -1, 0, -7749, -62937]$	$y^2+xy=x^3-x^2-7749x-62937$	2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 120.12.0.?, 280.12.0.?, $\ldots$	$[(99, 315)]$
10710.j3	10710o2	10710.j	10710o	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ 2^{2} \cdot 3^{10} \cdot 5^{2} \cdot 7^{2} \cdot 17^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$14280$	$48$	$0$	$0.821645076$	$1$		$14$	$16384$	$0.924486$	$14758408587889/114704100$	$0.90671$	$3.97831$	$[1, -1, 0, -4599, 120393]$	$y^2+xy=x^3-x^2-4599x+120393$	2.6.0.a.1, 84.12.0.?, 120.12.0.?, 204.12.0.?, 280.12.0.?, $\ldots$	$[(7, 294)]$
10710.j4	10710o1	10710.j	10710o	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ - 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 7 \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$14280$	$48$	$0$	$0.410822538$	$1$		$9$	$8192$	$0.577912$	$-148035889/10710000$	$1.02199$	$3.25911$	$[1, -1, 0, -99, 4293]$	$y^2+xy=x^3-x^2-99x+4293$	2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 120.12.0.?, 204.12.0.?, $\ldots$	$[(-3, 69)]$
10710.k1	10710e4	10710.k	10710e	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 7 \cdot 17^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$7140$	$96$	$1$	$2.717671628$	$1$		$2$	$69120$	$1.717623$	$731992986690867/270340772800$	$0.95616$	$4.75424$	$[1, -1, 0, -50694, -2629900]$	$y^2+xy=x^3-x^2-50694x-2629900$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 42.48.0-42.c.1.3, 1020.48.0.?, $\ldots$	$[(-116, 1354)]$
10710.k2	10710e2	10710.k	10710e	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ 2^{2} \cdot 3^{3} \cdot 5^{6} \cdot 7^{3} \cdot 17^{2} $	$1$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$7140$	$96$	$1$	$0.905890542$	$1$		$16$	$23040$	$1.168316$	$42547659109328043/6195437500$	$1.03906$	$4.48168$	$[1, -1, 0, -21819, 1245825]$	$y^2+xy=x^3-x^2-21819x+1245825$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 42.48.0-42.c.1.4, 1020.48.0.?, $\ldots$	$[(84, -21)]$
10710.k3	10710e1	10710.k	10710e	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ - 2^{4} \cdot 3^{3} \cdot 5^{3} \cdot 7^{6} \cdot 17 $	$1$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$7140$	$96$	$1$	$1.811781085$	$1$		$15$	$11520$	$0.821743$	$-7794190562283/4000066000$	$1.00741$	$3.62274$	$[1, -1, 0, -1239, 23373]$	$y^2+xy=x^3-x^2-1239x+23373$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 84.48.0.?, 510.48.0.?, $\ldots$	$[(22, 69)]$
10710.k4	10710e3	10710.k	10710e	$4$	$6$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ - 2^{12} \cdot 3^{9} \cdot 5 \cdot 7^{2} \cdot 17^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$7140$	$96$	$1$	$5.435343256$	$1$		$1$	$34560$	$1.371048$	$5265299629773/4930293760$	$0.92888$	$4.22243$	$[1, -1, 0, 9786, -295372]$	$y^2+xy=x^3-x^2+9786x-295372$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 84.48.0.?, 510.48.0.?, $\ldots$	$[(1276/3, 51590/3)]$
10710.l1	10710n4	10710.l	10710n	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ 2^{4} \cdot 3^{7} \cdot 5^{2} \cdot 7^{12} \cdot 17 $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.7	2B	$2856$	$48$	$0$	$0.936495129$	$1$		$14$	$196608$	$2.212963$	$152277495831664137649/282362258900400$	$0.99076$	$5.71875$	$[1, -1, 0, -1001259, 385259413]$	$y^2+xy=x^3-x^2-1001259x+385259413$	2.3.0.a.1, 4.12.0-4.c.1.1, 168.24.0.?, 204.24.0.?, 952.24.0.?, $\ldots$	$[(602, 329)]$
10710.l2	10710n3	10710.l	10710n	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ 2^{4} \cdot 3^{7} \cdot 5^{8} \cdot 7^{3} \cdot 17^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.8	2B	$2856$	$48$	$0$	$0.234123782$	$1$		$14$	$196608$	$2.212963$	$84917632843343402929/537144431250000$	$0.98865$	$5.65581$	$[1, -1, 0, -824139, -286186955]$	$y^2+xy=x^3-x^2-824139x-286186955$	2.3.0.a.1, 4.12.0-4.c.1.2, 42.6.0.a.1, 84.24.0.?, 408.24.0.?, $\ldots$	$[(-534, 1457)]$
10710.l3	10710n2	10710.l	10710n	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 7^{6} \cdot 17^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.1	2Cs	$1428$	$48$	$0$	$0.468247564$	$1$		$16$	$98304$	$1.866388$	$87557366190249649/48960807840000$	$1.00042$	$4.91465$	$[1, -1, 0, -83259, 1719013]$	$y^2+xy=x^3-x^2-83259x+1719013$	2.6.0.a.1, 4.12.0-2.a.1.1, 84.24.0.?, 204.24.0.?, 476.24.0.?, $\ldots$	$[(467, 7799)]$
10710.l4	10710n1	10710.l	10710n	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ - 2^{16} \cdot 3^{10} \cdot 5^{2} \cdot 7^{3} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.6	2B	$2856$	$48$	$0$	$0.936495129$	$1$		$7$	$49152$	$1.519814$	$1291859362462031/773834342400$	$0.98108$	$4.46027$	$[1, -1, 0, 20421, 205285]$	$y^2+xy=x^3-x^2+20421x+205285$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 84.12.0.?, 168.24.0.?, $\ldots$	$[(71, 1382)]$
10710.m1	10710m3	10710.m	10710m	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ 2^{2} \cdot 3^{7} \cdot 5^{2} \cdot 7 \cdot 17^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.8	2B	$2856$	$48$	$0$	$1.740585073$	$1$		$6$	$32768$	$1.416485$	$155624507032726369/175394100$	$0.96156$	$4.97664$	$[1, -1, 0, -100854, -12302672]$	$y^2+xy=x^3-x^2-100854x-12302672$	2.3.0.a.1, 4.12.0-4.c.1.2, 42.6.0.a.1, 84.24.0.?, 408.24.0.?, $\ldots$	$[(-183, 94)]$
10710.m2	10710m4	10710.m	10710m	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ 2^{2} \cdot 3^{7} \cdot 5^{8} \cdot 7^{4} \cdot 17 $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.7	2B	$2856$	$48$	$0$	$0.435146268$	$1$		$18$	$32768$	$1.416485$	$568671957006049/191329687500$	$0.94224$	$4.37184$	$[1, -1, 0, -15534, 486040]$	$y^2+xy=x^3-x^2-15534x+486040$	2.3.0.a.1, 4.12.0-4.c.1.1, 168.24.0.?, 204.24.0.?, 952.24.0.?, $\ldots$	$[(11, 557)]$
10710.m3	10710m2	10710.m	10710m	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 7^{2} \cdot 17^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.1	2Cs	$1428$	$48$	$0$	$0.870292536$	$1$		$14$	$16384$	$1.069912$	$38920307374369/1274490000$	$0.91423$	$4.08282$	$[1, -1, 0, -6354, -187772]$	$y^2+xy=x^3-x^2-6354x-187772$	2.6.0.a.1, 4.12.0-2.a.1.1, 84.24.0.?, 204.24.0.?, 476.24.0.?, $\ldots$	$[(-48, 94)]$
10710.m4	10710m1	10710.m	10710m	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ - 2^{8} \cdot 3^{10} \cdot 5^{2} \cdot 7 \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.6	2B	$2856$	$48$	$0$	$1.740585073$	$1$		$5$	$8192$	$0.723337$	$302111711/61689600$	$0.92727$	$3.44664$	$[1, -1, 0, 126, -10220]$	$y^2+xy=x^3-x^2+126x-10220$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 84.12.0.?, 168.24.0.?, $\ldots$	$[(36, 182)]$
10710.n1	10710l8	10710.n	10710l	$8$	$12$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ 2^{2} \cdot 3^{14} \cdot 5^{3} \cdot 7^{12} \cdot 17^{3} $	$1$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.6.0.1, 3.8.0.1	2B, 3B.1.1	$14280$	$384$	$5$	$1.561987168$	$1$		$16$	$1769472$	$3.380524$	$260174968233082037895439009/223081361502731896500$	$1.03326$	$7.26539$	$[1, -1, 0, -119698794, 503716997808]$	$y^2+xy=x^3-x^2-119698794x+503716997808$	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.48.0-12.g.1.12, $\ldots$	$[(6462, 2124)]$
10710.n2	10710l7	10710.n	10710l	$8$	$12$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ 2^{2} \cdot 3^{8} \cdot 5^{3} \cdot 7^{3} \cdot 17^{12} $	$1$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.6.0.1, 3.8.0.1	2B, 3B.1.1	$14280$	$384$	$5$	$6.247948674$	$1$		$6$	$1769472$	$3.380524$	$73704237235978088924479009/899277423164136103500$	$1.03040$	$7.12946$	$[1, -1, 0, -78613794, -265421985192]$	$y^2+xy=x^3-x^2-78613794x-265421985192$	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.48.0-12.g.1.12, $\ldots$	$[(11487, 583464)]$
10710.n3	10710l4	10710.n	10710l	$8$	$12$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ 2^{6} \cdot 3^{12} \cdot 5 \cdot 7 \cdot 17^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.6.0.1, 3.8.0.2	2B, 3B.1.2	$14280$	$384$	$5$	$18.74384602$	$1$		$0$	$589824$	$2.831219$	$73054578035931991395831649/136386452160$	$1.03019$	$7.12851$	$[1, -1, 0, -78382134, -267080313420]$	$y^2+xy=x^3-x^2-78382134x-267080313420$	2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.48.0-12.g.1.10, $\ldots$	$[(352602039/110, 6250986704517/110)]$
10710.n4	10710l6	10710.n	10710l	$8$	$12$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ 2^{4} \cdot 3^{10} \cdot 5^{6} \cdot 7^{6} \cdot 17^{6} $	$1$	$\Z/2\Z\oplus\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.6.0.1, 3.8.0.1	2Cs, 3B.1.1	$7140$	$384$	$5$	$3.123974337$	$1$		$20$	$884736$	$3.033951$	$116454264690812369959009/57505157319440250000$	$1.03169$	$6.43430$	$[1, -1, 0, -9156294, 4087006308]$	$y^2+xy=x^3-x^2-9156294x+4087006308$	2.6.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.a.1.1, 60.96.0-60.a.1.32, 84.96.0.?, $\ldots$	$[(-3143, 44114)]$
10710.n5	10710l5	10710.n	10710l	$8$	$12$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ 2^{6} \cdot 3^{30} \cdot 5 \cdot 7^{4} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.6.0.1, 3.8.0.2	2B, 3B.1.2	$14280$	$384$	$5$	$4.685961506$	$1$		$2$	$589824$	$2.831219$	$20645800966247918737249/3688936444974392640$	$1.01118$	$6.24786$	$[1, -1, 0, -5143734, -3731921100]$	$y^2+xy=x^3-x^2-5143734x-3731921100$	2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.48.0-12.g.1.10, $\ldots$	$[(2700, 44010)]$
10710.n6	10710l2	10710.n	10710l	$8$	$12$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ 2^{12} \cdot 3^{18} \cdot 5^{2} \cdot 7^{2} \cdot 17^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.6.0.1, 3.8.0.2	2Cs, 3B.1.2	$7140$	$384$	$5$	$9.371923012$	$1$		$2$	$294912$	$2.484642$	$17836145204788591940449/770635366502400$	$1.00706$	$6.23209$	$[1, -1, 0, -4898934, -4172120460]$	$y^2+xy=x^3-x^2-4898934x-4172120460$	2.6.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.a.1.2, 60.96.0-60.a.2.32, 84.96.0.?, $\ldots$	$[(714396/5, 600159354/5)]$
10710.n7	10710l1	10710.n	10710l	$8$	$12$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ - 2^{24} \cdot 3^{12} \cdot 5^{4} \cdot 7 \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.6.0.1, 3.8.0.2	2B, 3B.1.2	$14280$	$384$	$5$	$4.685961506$	$1$		$1$	$147456$	$2.138069$	$-3735772816268612449/909650165760000$	$0.98006$	$5.35701$	$[1, -1, 0, -290934, -71922060]$	$y^2+xy=x^3-x^2-290934x-71922060$	2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.48.0-12.g.1.10, $\ldots$	$[(4359/2, 236211/2)]$
10710.n8	10710l3	10710.n	10710l	$8$	$12$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ - 2^{8} \cdot 3^{8} \cdot 5^{12} \cdot 7^{3} \cdot 17^{3} $	$1$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.6.0.1, 3.8.0.1	2B, 3B.1.1	$14280$	$384$	$5$	$1.561987168$	$1$		$13$	$442368$	$2.687378$	$1392333139184610040991/947901937500000000$	$1.02013$	$5.95725$	$[1, -1, 0, 2093706, 489256308]$	$y^2+xy=x^3-x^2+2093706x+489256308$	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.48.0-12.g.1.12, $\ldots$	$[(12, 22674)]$
10710.o1	10710k3	10710.o	10710k	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ 2^{7} \cdot 3^{11} \cdot 5 \cdot 7^{8} \cdot 17^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$2040$	$48$	$0$	$1$	$1$		$0$	$573440$	$2.701015$	$66464620505913166201729/74880071980801920$	$1.01114$	$6.37386$	$[1, -1, 0, -7595064, -8046734400]$	$y^2+xy=x^3-x^2-7595064x-8046734400$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.2, 120.24.0.?, $\ldots$	$[]$
10710.o2	10710k4	10710.o	10710k	$4$	$4$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 $	$ 2^{7} \cdot 3^{26} \cdot 5^{4} \cdot 7^{2} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$2040$	$48$	$0$	$1$	$1$		$0$	$573440$	$2.701015$	$23818189767728437646209/232359312482640000$	$1.00813$	$6.26326$	$[1, -1, 0, -5394744, 4783382208]$	$y^2+xy=x^3-x^2-5394744x+4783382208$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$	$[]$

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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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