LMFDB - Elliptic curves over $\Q$ of conductor 27720

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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
27720.a1	27720e1	27720.a	27720e	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{10} \cdot 3^{8} \cdot 5 \cdot 7^{3} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$79872$	$1.315533$	$26752959989284/169785$	$0.91274$	$4.34420$	$[0, 0, 0, -56523, -5172298]$	$y^2=x^3-56523x-5172298$	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
27720.a2	27720e2	27720.a	27720e	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{11} \cdot 3^{7} \cdot 5^{2} \cdot 7^{6} \cdot 11^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$159744$	$1.662107$	$-12624273557282/1067664675$	$0.91461$	$4.35188$	$[0, 0, 0, -55443, -5379442]$	$y^2=x^3-55443x-5379442$	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[]$
27720.b1	27720c6	27720.b	27720c	$6$	$8$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{11} \cdot 3^{9} \cdot 5^{8} \cdot 7^{4} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.94	2B	$2640$	$192$	$1$	$1$	$1$		$1$	$2359296$	$3.216587$	$1520949008089505953959842/278553515625$	$1.02650$	$6.83268$	$[0, 0, 0, -273831123, 1744103785678]$	$y^2=x^3-273831123x+1744103785678$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 12.12.0-4.c.1.1, 24.48.0-24.by.1.15, $\ldots$	$[]$
27720.b2	27720c4	27720.b	27720c	$6$	$8$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{10} \cdot 3^{12} \cdot 5^{4} \cdot 7^{8} \cdot 11^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.11	2Cs	$1320$	$192$	$1$	$1$	$1$		$3$	$1179648$	$2.870014$	$742879737792994384804/317817082130625$	$1.00073$	$6.01962$	$[0, 0, 0, -17116203, 27245743702]$	$y^2=x^3-17116203x+27245743702$	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 12.24.0-4.b.1.1, 24.48.0-24.h.1.6, $\ldots$	$[]$
27720.b3	27720c5	27720.b	27720c	$6$	$8$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{11} \cdot 3^{9} \cdot 5^{2} \cdot 7^{16} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.9	2B	$2640$	$192$	$1$	$1$	$4$	$2$	$1$	$2359296$	$3.216587$	$-223180773010681046402/246754509479287425$	$1.01033$	$6.07426$	$[0, 0, 0, -14443203, 36043655902]$	$y^2=x^3-14443203x+36043655902$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0-8.n.1.4, $\ldots$	$[]$
27720.b4	27720c2	27720.b	27720c	$6$	$8$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{8} \cdot 3^{18} \cdot 5^{2} \cdot 7^{4} \cdot 11^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.14	2Cs	$1320$	$192$	$1$	$1$	$1$		$3$	$589824$	$2.523441$	$1125982298608534096/467044181552025$	$0.98355$	$5.24951$	$[0, 0, 0, -1238583, 282369418]$	$y^2=x^3-1238583x+282369418$	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 12.24.0-4.b.1.3, 20.24.0.c.1, $\ldots$	$[]$
27720.b5	27720c1	27720.b	27720c	$6$	$8$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{4} \cdot 3^{12} \cdot 5 \cdot 7^{2} \cdot 11^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.93	2B	$2640$	$192$	$1$	$1$	$1$		$1$	$294912$	$2.176868$	$1847444944806639616/38285567941005$	$0.99333$	$5.02689$	$[0, 0, 0, -579738, -166831103]$	$y^2=x^3-579738x-166831103$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 10.6.0.a.1, 12.12.0-4.c.1.2, $\ldots$	$[]$
27720.b6	27720c3	27720.b	27720c	$6$	$8$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{10} \cdot 3^{30} \cdot 5 \cdot 7^{2} \cdot 11^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.8	2B	$2640$	$192$	$1$	$1$	$1$		$1$	$1179648$	$2.870014$	$10191978981888338876/8372623608979245$	$1.00242$	$5.60037$	$[0, 0, 0, 4097517, 2067828478]$	$y^2=x^3+4097517x+2067828478$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0-8.n.1.2, $\ldots$	$[]$
27720.c1	27720a2	27720.c	27720a	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{10} \cdot 3^{3} \cdot 5 \cdot 7^{2} \cdot 11^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$4620$	$12$	$0$	$0.787496962$	$1$		$7$	$12288$	$0.402429$	$57395628/29645$	$0.99712$	$2.74614$	$[0, 0, 0, -243, 478]$	$y^2=x^3-243x+478$	2.3.0.a.1, 60.6.0.a.1, 924.6.0.?, 1540.6.0.?, 4620.12.0.?	$[(-9, 44)]$
27720.c2	27720a1	27720.c	27720a	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$4620$	$12$	$0$	$1.574993925$	$1$		$5$	$6144$	$0.055855$	$2963088/1925$	$0.69061$	$2.32092$	$[0, 0, 0, 57, 58]$	$y^2=x^3+57x+58$	2.3.0.a.1, 60.6.0.b.1, 462.6.0.?, 1540.6.0.?, 4620.12.0.?	$[(3, 16)]$
27720.d1	27720bb4	27720.d	27720bb	$4$	$4$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{10} \cdot 3^{13} \cdot 5 \cdot 7^{4} \cdot 11^{12} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$1320$	$48$	$0$	$32.62415203$	$1$		$1$	$15138816$	$4.155373$	$19037313645387618625546168804/82399233032965368135$	$1.04727$	$7.68720$	$[0, 0, 0, -5046262203, -137975255968282]$	$y^2=x^3-5046262203x-137975255968282$	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, $\ldots$	$[(-12844128295852301/559763, 3757548645185187444588/559763)]$
27720.d2	27720bb2	27720.d	27720bb	$4$	$4$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{8} \cdot 3^{20} \cdot 5^{2} \cdot 7^{8} \cdot 11^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$660$	$48$	$0$	$16.31207601$	$1$		$3$	$7569408$	$3.808800$	$19486220601593009351102416/1221175284018082695225$	$1.02886$	$6.87871$	$[0, 0, 0, -320373903, -2084228257102]$	$y^2=x^3-320373903x-2084228257102$	2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 44.12.0.b.1, 60.24.0-60.a.1.4, $\ldots$	$[(-195286091/131, 666477884790/131)]$
27720.d3	27720bb1	27720.d	27720bb	$4$	$4$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{4} \cdot 3^{13} \cdot 5 \cdot 7^{16} \cdot 11^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$1320$	$48$	$0$	$32.62415203$	$1$		$1$	$3784704$	$3.462227$	$2147658844706816042407936/483688189481299210485$	$1.04643$	$6.39211$	$[0, 0, 0, -60957858, 143169788477]$	$y^2=x^3-60957858x+143169788477$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.3, 88.12.0.?, $\ldots$	$[(593436786081238/131917, 14099241363246729713151/131917)]$
27720.d4	27720bb3	27720.d	27720bb	$4$	$4$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{10} \cdot 3^{34} \cdot 5^{4} \cdot 7^{4} \cdot 11^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$1320$	$48$	$0$	$32.62415203$	$1$		$1$	$15138816$	$4.155373$	$2452389160534358561651516/45692546768053107181875$	$1.05690$	$7.14792$	$[0, 0, 0, 254857677, -8746675462978]$	$y^2=x^3+254857677x-8746675462978$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 22.6.0.a.1, 40.12.0-4.c.1.5, $\ldots$	$[(1303878703020971/225451, 43893781945683204905800/225451)]$
27720.e1	27720d1	27720.e	27720d	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{8} \cdot 3^{9} \cdot 5^{5} \cdot 7 \cdot 11 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2310$	$2$	$0$	$1$	$1$		$0$	$46080$	$1.115471$	$-364954448896/6496875$	$0.88020$	$3.79184$	$[0, 0, 0, -8508, -306668]$	$y^2=x^3-8508x-306668$	2310.2.0.?	$[]$
27720.f1	27720f6	27720.f	27720f	$6$	$8$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{11} \cdot 3^{8} \cdot 5 \cdot 7^{2} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.5	2B	$18480$	$192$	$1$	$1$	$4$	$2$	$1$	$524288$	$2.276669$	$59850000883110493442/24255$	$0.99400$	$5.84117$	$[0, 0, 0, -9313923, 10940749598]$	$y^2=x^3-9313923x+10940749598$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 24.24.0-8.n.1.10, $\ldots$	$[]$
27720.f2	27720f4	27720.f	27720f	$6$	$8$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 7^{4} \cdot 11^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.3	2Cs	$9240$	$192$	$1$	$1$	$1$		$3$	$262144$	$1.930094$	$29224056825643684/588305025$	$0.95660$	$5.02809$	$[0, 0, 0, -582123, 170947478]$	$y^2=x^3-582123x+170947478$	2.6.0.a.1, 4.12.0.b.1, 12.24.0-4.b.1.1, 40.24.0.h.2, 56.24.0-4.b.1.5, $\ldots$	$[]$
27720.f3	27720f5	27720.f	27720f	$6$	$8$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{11} \cdot 3^{14} \cdot 5 \cdot 7^{8} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.5	2B	$18480$	$192$	$1$	$1$	$4$	$2$	$1$	$524288$	$2.276669$	$-13171152353214242/2080257264855$	$0.95935$	$5.04153$	$[0, 0, 0, -562323, 183116558]$	$y^2=x^3-562323x+183116558$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 24.24.0-8.n.1.10, $\ldots$	$[]$
27720.f4	27720f2	27720.f	27720f	$6$	$8$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 7^{2} \cdot 11^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.3	2Cs	$9240$	$192$	$1$	$1$	$1$		$3$	$131072$	$1.583521$	$31558509702736/4035425625$	$0.90703$	$4.22484$	$[0, 0, 0, -37623, 2479178]$	$y^2=x^3-37623x+2479178$	2.6.0.a.1, 4.12.0.b.1, 12.24.0-4.b.1.3, 28.24.0-4.b.1.2, 40.24.0.h.1, $\ldots$	$[]$
27720.f5	27720f1	27720.f	27720f	$6$	$8$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{4} \cdot 3^{7} \cdot 5^{8} \cdot 7 \cdot 11^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.5	2B	$18480$	$192$	$1$	$1$	$1$		$1$	$65536$	$1.236948$	$8124052043776/992578125$	$0.92044$	$3.82116$	$[0, 0, 0, -9498, -316447]$	$y^2=x^3-9498x-316447$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 24.24.0-8.n.1.12, $\ldots$	$[]$
27720.f6	27720f3	27720.f	27720f	$6$	$8$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{10} \cdot 3^{7} \cdot 5^{2} \cdot 7 \cdot 11^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.5	2B	$18480$	$192$	$1$	$1$	$1$		$1$	$262144$	$1.930094$	$27258770992316/112538412525$	$0.94705$	$4.52334$	$[0, 0, 0, 56877, 12930878]$	$y^2=x^3+56877x+12930878$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 24.24.0-8.n.1.12, $\ldots$	$[]$
27720.g1	27720bc4	27720.g	27720bc	$4$	$4$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{10} \cdot 3^{14} \cdot 5 \cdot 7 \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$9240$	$48$	$0$	$2.255056523$	$4$	$2$	$5$	$98304$	$1.436041$	$60430765429444/2525985$	$0.91865$	$4.42386$	$[0, 0, 0, -74163, -7773442]$	$y^2=x^3-74163x-7773442$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 88.12.0.?, 132.12.0.?, $\ldots$	$[(-157, 16)]$
27720.g2	27720bc3	27720.g	27720bc	$4$	$4$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{10} \cdot 3^{8} \cdot 5^{4} \cdot 7^{4} \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$9240$	$48$	$0$	$2.255056523$	$1$		$5$	$98304$	$1.436041$	$1729010797924/148561875$	$0.89333$	$4.07645$	$[0, 0, 0, -22683, 1213382]$	$y^2=x^3-22683x+1213382$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 44.12.0.h.1, 132.24.0.?, $\ldots$	$[(131, 700)]$
27720.g3	27720bc2	27720.g	27720bc	$4$	$4$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{8} \cdot 3^{10} \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$4620$	$48$	$0$	$1.127528261$	$1$		$13$	$49152$	$1.089468$	$68150496976/12006225$	$0.85146$	$3.62484$	$[0, 0, 0, -4863, -108862]$	$y^2=x^3-4863x-108862$	2.6.0.a.1, 12.12.0-2.a.1.1, 44.12.0.a.1, 132.24.0.?, 140.12.0.?, $\ldots$	$[(-47, 126)]$
27720.g4	27720bc1	27720.g	27720bc	$4$	$4$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{4} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 11^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$9240$	$48$	$0$	$2.255056523$	$1$		$5$	$24576$	$0.742894$	$1869154304/4611915$	$0.86673$	$3.11790$	$[0, 0, 0, 582, -9763]$	$y^2=x^3+582x-9763$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 70.6.0.a.1, 88.12.0.?, $\ldots$	$[(22, 117)]$
27720.h1	27720bh4	27720.h	27720bh	$4$	$4$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{10} \cdot 3^{9} \cdot 5 \cdot 7^{2} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$1320$	$48$	$0$	$1$	$4$	$2$	$1$	$688128$	$2.366722$	$403987375837267326724/72765$	$0.99852$	$5.96008$	$[0, 0, 0, -13970883, -20099437202]$	$y^2=x^3-13970883x-20099437202$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.3, 88.12.0.?, $\ldots$	$[]$
27720.h2	27720bh3	27720.h	27720bh	$4$	$4$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{10} \cdot 3^{9} \cdot 5 \cdot 7^{8} \cdot 11^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$1320$	$48$	$0$	$1$	$1$		$1$	$688128$	$2.366722$	$107096411753241124/11394330944535$	$0.96581$	$5.15505$	$[0, 0, 0, -897483, -295646762]$	$y^2=x^3-897483x-295646762$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0-4.c.1.2, 60.24.0-60.h.1.4, $\ldots$	$[]$
27720.h3	27720bh2	27720.h	27720bh	$4$	$4$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{8} \cdot 3^{12} \cdot 5^{2} \cdot 7^{4} \cdot 11^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$660$	$48$	$0$	$1$	$1$		$3$	$344064$	$2.020149$	$394522733946559696/5294745225$	$0.96290$	$5.14700$	$[0, 0, 0, -873183, -314051582]$	$y^2=x^3-873183x-314051582$	2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 44.12.0.b.1, 60.24.0-60.a.1.3, $\ldots$	$[]$
27720.h4	27720bh1	27720.h	27720bh	$4$	$4$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{4} \cdot 3^{18} \cdot 5^{4} \cdot 7^{2} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$1320$	$48$	$0$	$1$	$1$		$1$	$172032$	$1.673576$	$-1416213817563136/179029186875$	$0.95759$	$4.34497$	$[0, 0, 0, -53058, -5192507]$	$y^2=x^3-53058x-5192507$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 22.6.0.a.1, 40.12.0-4.c.1.5, $\ldots$	$[]$
27720.i1	27720be1	27720.i	27720be	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{8} \cdot 3^{11} \cdot 5^{13} \cdot 7^{7} \cdot 11 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2310$	$2$	$0$	$1$	$1$		$0$	$6988800$	$3.570473$	$-21569462179645467300176896/2687170946044921875$	$1.04250$	$6.88866$	$[0, 0, 0, -331406508, 2322396693668]$	$y^2=x^3-331406508x+2322396693668$	2310.2.0.?	$[]$
27720.j1	27720bf1	27720.j	27720bf	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{10} \cdot 3^{16} \cdot 5 \cdot 7 \cdot 11^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$153600$	$1.767103$	$355845710666884/2750797665$	$0.93088$	$4.59717$	$[0, 0, 0, -133923, -18737458]$	$y^2=x^3-133923x-18737458$	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
27720.j2	27720bf2	27720.j	27720bf	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{11} \cdot 3^{11} \cdot 5^{2} \cdot 7^{2} \cdot 11^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$307200$	$2.113678$	$-7420395059282/527349420675$	$0.98506$	$4.75764$	$[0, 0, 0, -46443, -42864442]$	$y^2=x^3-46443x-42864442$	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[]$
27720.k1	27720bd4	27720.k	27720bd	$4$	$4$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{11} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 11^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$9240$	$48$	$0$	$1$	$1$		$1$	$98304$	$1.553780$	$132280446972242/4611915$	$0.92875$	$4.56820$	$[0, 0, 0, -121323, 16264838]$	$y^2=x^3-121323x+16264838$	2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.1, 168.12.0.?, 264.12.0.?, $\ldots$	$[]$
27720.k2	27720bd3	27720.k	27720bd	$4$	$4$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{11} \cdot 3^{14} \cdot 5^{4} \cdot 7 \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$9240$	$48$	$0$	$1$	$4$	$2$	$1$	$98304$	$1.553780$	$3354200221682/315748125$	$1.06534$	$4.20898$	$[0, 0, 0, -35643, -2370058]$	$y^2=x^3-35643x-2370058$	2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 132.12.0.?, 168.12.0.?, $\ldots$	$[]$
27720.k3	27720bd2	27720.k	27720bd	$4$	$4$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$9240$	$48$	$0$	$1$	$1$		$3$	$49152$	$1.207205$	$73682642884/12006225$	$0.86655$	$3.76799$	$[0, 0, 0, -7923, 230078]$	$y^2=x^3-7923x+230078$	2.6.0.a.1, 60.12.0-2.a.1.1, 132.12.0.?, 168.12.0.?, 220.12.0.?, $\ldots$	$[]$
27720.k4	27720bd1	27720.k	27720bd	$4$	$4$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{8} \cdot 3^{8} \cdot 5 \cdot 7^{4} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$9240$	$48$	$0$	$1$	$1$		$1$	$24576$	$0.860632$	$427694384/1188495$	$0.82379$	$3.25968$	$[0, 0, 0, 897, 20162]$	$y^2=x^3+897x+20162$	2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.2, 110.6.0.?, 132.12.0.?, $\ldots$	$[]$
27720.l1	27720bg2	27720.l	27720bg	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{11} \cdot 3^{6} \cdot 5^{2} \cdot 7 \cdot 11^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3080$	$12$	$0$	$1$	$1$		$1$	$24576$	$0.810650$	$1189646642/21175$	$0.95307$	$3.43241$	$[0, 0, 0, -2523, 48022]$	$y^2=x^3-2523x+48022$	2.3.0.a.1, 56.6.0.a.1, 220.6.0.?, 3080.12.0.?	$[]$
27720.l2	27720bg1	27720.l	27720bg	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{10} \cdot 3^{6} \cdot 5 \cdot 7^{2} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3080$	$12$	$0$	$1$	$1$		$1$	$12288$	$0.464076$	$-4/2695$	$0.94832$	$2.82280$	$[0, 0, 0, -3, 2158]$	$y^2=x^3-3x+2158$	2.3.0.a.1, 56.6.0.d.1, 110.6.0.?, 3080.12.0.?	$[]$
27720.m1	27720bk4	27720.m	27720bk	$4$	$4$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{10} \cdot 3^{6} \cdot 5^{4} \cdot 7^{2} \cdot 11 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$1320$	$48$	$0$	$2.306164338$	$1$		$15$	$114688$	$1.437809$	$164554625611044/336875$	$0.95176$	$4.52178$	$[0, 0, 0, -103563, 12827862]$	$y^2=x^3-103563x+12827862$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.z.1, 44.12.0.h.1, $\ldots$	$[(187, 28), (222, 882)]$
27720.m2	27720bk2	27720.m	27720bk	$4$	$4$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 7^{4} \cdot 11^{2} $	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$660$	$48$	$0$	$0.576541084$	$1$		$51$	$57344$	$1.091236$	$165991931856/7263025$	$0.97216$	$3.71187$	$[0, 0, 0, -6543, 195858]$	$y^2=x^3-6543x+195858$	2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.b.1, 44.12.0.a.1, 60.24.0-20.b.1.1, $\ldots$	$[(33, 126), (-9, 504)]$
27720.m3	27720bk1	27720.m	27720bk	$4$	$4$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{4} \cdot 3^{6} \cdot 5 \cdot 7^{2} \cdot 11^{4} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$1320$	$48$	$0$	$2.306164338$	$1$		$13$	$28672$	$0.744662$	$12551141376/3587045$	$1.01470$	$3.18843$	$[0, 0, 0, -1098, -9963]$	$y^2=x^3-1098x-9963$	2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 12.12.0-4.c.1.2, 20.12.0.g.1, $\ldots$	$[(-18, 63), (-11, 28)]$
27720.m4	27720bk3	27720.m	27720bk	$4$	$4$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{10} \cdot 3^{6} \cdot 5 \cdot 7^{8} \cdot 11 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$1320$	$48$	$0$	$2.306164338$	$1$		$13$	$114688$	$1.437809$	$5604672636/317064055$	$0.96378$	$3.96310$	$[0, 0, 0, 3357, 736398]$	$y^2=x^3+3357x+736398$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.z.1, 60.12.0-4.c.1.1, $\ldots$	$[(-29, 784), (118, 1666)]$
27720.n1	27720bj1	27720.n	27720bj	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{10} \cdot 3^{16} \cdot 5^{3} \cdot 7 \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$92160$	$1.510973$	$1812647208964/568346625$	$0.90305$	$4.08107$	$[0, 0, 0, -23043, 911342]$	$y^2=x^3-23043x+911342$	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
27720.n2	27720bj2	27720.n	27720bj	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{11} \cdot 3^{11} \cdot 5^{6} \cdot 7^{2} \cdot 11^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$184320$	$1.857546$	$19818563370478/22511671875$	$0.93680$	$4.38263$	$[0, 0, 0, 64437, 6177638]$	$y^2=x^3+64437x+6177638$	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[]$
27720.o1	27720h6	27720.o	27720h	$6$	$8$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{11} \cdot 3^{14} \cdot 5^{4} \cdot 7 \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.4	2B	$3696$	$192$	$1$	$7.621924953$	$1$		$3$	$786432$	$2.565392$	$467508233804095622882/315748125$	$1.00153$	$6.04211$	$[0, 0, 0, -18480243, 30578038958]$	$y^2=x^3-18480243x+30578038958$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0-8.n.1.8, $\ldots$	$[(3926, 136154)]$
27720.o2	27720h4	27720.o	27720h	$6$	$8$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{10} \cdot 3^{10} \cdot 5^{8} \cdot 7^{2} \cdot 11^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.24	2Cs	$1848$	$192$	$1$	$3.810962476$	$1$		$7$	$393216$	$2.218819$	$228410605013945764/187597265625$	$0.96707$	$5.22909$	$[0, 0, 0, -1155243, 477583958]$	$y^2=x^3-1155243x+477583958$	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.5, 12.24.0-4.b.1.1, 24.48.0-24.m.1.5, $\ldots$	$[(-449, 30096)]$
27720.o3	27720h5	27720.o	27720h	$6$	$8$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{11} \cdot 3^{8} \cdot 5^{16} \cdot 7 \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.4	2B	$3696$	$192$	$1$	$7.621924953$	$4$	$2$	$1$	$786432$	$2.565392$	$-55043996611705922/105743408203125$	$0.98240$	$5.30077$	$[0, 0, 0, -905763, 689592062]$	$y^2=x^3-905763x+689592062$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0-8.n.1.8, $\ldots$	$[(-1607/2, 251541/2)]$
27720.o4	27720h3	27720.o	27720h	$6$	$8$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{10} \cdot 3^{7} \cdot 5^{2} \cdot 7^{2} \cdot 11^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.56	2B	$3696$	$192$	$1$	$3.810962476$	$1$		$3$	$393216$	$2.218819$	$62380825826921284/787768887675$	$0.96084$	$5.10221$	$[0, 0, 0, -749523, -247021378]$	$y^2=x^3-749523x-247021378$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.10, 12.24.0-12.h.1.1, 24.48.0-24.bl.1.11, $\ldots$	$[(-506, 1638)]$
27720.o5	27720h2	27720.o	27720h	$6$	$8$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 7^{4} \cdot 11^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.24.0.3	2Cs	$1848$	$192$	$1$	$1.905481238$	$1$		$9$	$196608$	$1.872246$	$404151985581136/197735855625$	$0.94872$	$4.47410$	$[0, 0, 0, -88023, 3951722]$	$y^2=x^3-88023x+3951722$	2.6.0.a.1, 4.24.0-4.b.1.2, 12.48.0-12.c.1.4, 56.48.0-56.h.1.24, 88.48.0.?, $\ldots$	$[(19, 1512)]$
27720.o6	27720h1	27720.o	27720h	$6$	$8$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{4} \cdot 3^{7} \cdot 5^{2} \cdot 7^{8} \cdot 11^{2} $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.46	2B	$3696$	$192$	$1$	$0.952740619$	$1$		$13$	$98304$	$1.525673$	$76102438406144/52315569075$	$0.96724$	$4.03986$	$[0, 0, 0, 20022, 472673]$	$y^2=x^3+20022x+472673$	2.3.0.a.1, 4.12.0-4.c.1.1, 6.6.0.a.1, 8.24.0-8.n.1.12, 12.24.0-12.g.1.2, $\ldots$	$[(-16, 385)]$

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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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