LMFDB - Elliptic curves over $\Q$ of conductor 73920

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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
73920.a1	73920e4	73920.a	73920e	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{15} \cdot 3^{16} \cdot 5 \cdot 7^{3} \cdot 11^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.12	2B	$280$	$48$	$0$	$11.50487903$	$1$		$1$	$3145728$	$2.565884$	$2349497892139423119368/8932840308315$	$1.00234$	$5.31684$	$[0, -1, 0, -8862721, -10152452639]$	$y^2=x^3-x^2-8862721x-10152452639$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 28.12.0-4.c.1.2, 40.24.0-40.ba.1.9, $\ldots$	$[(-2104861/35, 7805988/35)]$
73920.a2	73920e3	73920.a	73920e	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{15} \cdot 3^{4} \cdot 5^{4} \cdot 7^{3} \cdot 11^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.8	2B	$280$	$48$	$0$	$2.876219759$	$1$		$5$	$3145728$	$2.565884$	$15816313046221571528/3722207994264375$	$0.98914$	$4.87076$	$[0, -1, 0, -1673441, 642377505]$	$y^2=x^3-x^2-1673441x+642377505$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 28.12.0-4.c.1.1, 40.24.0-40.ba.1.11, $\ldots$	$[(1073, 9000)]$
73920.a3	73920e2	73920.a	73920e	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{12} \cdot 3^{8} \cdot 5^{2} \cdot 7^{6} \cdot 11^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.1	2Cs	$280$	$48$	$0$	$5.752439519$	$1$		$5$	$1572864$	$2.219307$	$4795721641044996544/282532899951225$	$0.98674$	$4.57883$	$[0, -1, 0, -562121, -153549879]$	$y^2=x^3-x^2-562121x-153549879$	2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0.a.1, 28.12.0-2.a.1.1, 40.24.0-20.a.1.1, $\ldots$	$[(7589, 657720)]$
73920.a4	73920e1	73920.a	73920e	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{6} \cdot 3^{4} \cdot 5 \cdot 7^{12} \cdot 11^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.7	2B	$280$	$48$	$0$	$11.50487903$	$1$		$1$	$786432$	$1.872736$	$30806768067763904/678292279285005$	$1.01122$	$4.07980$	$[0, -1, 0, 26124, -9900450]$	$y^2=x^3-x^2+26124x-9900450$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 20.12.0.h.1, 40.24.0-20.h.1.1, $\ldots$	$[(92675/7, 28287470/7)]$
73920.b1	73920eh6	73920.b	73920eh	$6$	$8$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{17} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.96.0.113	2B	$176$	$192$	$1$	$1$	$1$		$3$	$18874368$	$3.474976$	$7259042500647479362626220802/12006225$	$1.04670$	$6.77347$	$[0, -1, 0, -2049062401, 35701724877985]$	$y^2=x^3-x^2-2049062401x+35701724877985$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.r.1.5, 16.96.0-16.l.1.5, 88.96.0.?, $\ldots$	$[]$
73920.b2	73920eh4	73920.b	73920eh	$6$	$8$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{16} \cdot 3^{8} \cdot 5^{4} \cdot 7^{4} \cdot 11^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.96.0.15	2Cs	$88$	$192$	$1$	$1$	$1$		$3$	$9437184$	$3.128403$	$3544454449806874081077604/144149438750625$	$1.07843$	$6.03152$	$[0, -1, 0, -128066401, 557871456385]$	$y^2=x^3-x^2-128066401x+557871456385$	2.6.0.a.1, 4.24.0-4.b.1.2, 8.96.0-8.e.2.6, 88.192.1.?	$[]$
73920.b3	73920eh5	73920.b	73920eh	$6$	$8$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{17} \cdot 3^{16} \cdot 5^{2} \cdot 7^{2} \cdot 11^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.96.0.170	2B	$176$	$192$	$1$	$1$	$1$		$1$	$18874368$	$3.474976$	$-1764102724103262766456802/11303622506742021225$	$1.02700$	$6.03209$	$[0, -1, 0, -127870401, 559663954785]$	$y^2=x^3-x^2-127870401x+559663954785$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.96.0-8.m.1.3, 176.192.1.?	$[]$
73920.b4	73920eh3	73920.b	73920eh	$6$	$8$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{16} \cdot 3^{2} \cdot 5^{4} \cdot 7^{16} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.96.0.280	2B	$176$	$192$	$1$	$1$	$1$		$1$	$9437184$	$3.128403$	$3678765970528905177604/2056287578994061875$	$1.04298$	$5.41866$	$[0, -1, 0, -12966401, -3315003615]$	$y^2=x^3-x^2-12966401x-3315003615$	2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.2.2, 16.96.0-16.bb.2.2, 44.12.0.h.1, $\ldots$	$[]$
73920.b5	73920eh2	73920.b	73920eh	$6$	$8$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{14} \cdot 3^{4} \cdot 5^{8} \cdot 7^{8} \cdot 11^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.96.0.144	2Cs	$88$	$192$	$1$	$1$	$1$		$3$	$4718592$	$2.781830$	$3477299736386222510416/22070630703515625$	$1.05951$	$5.28998$	$[0, -1, 0, -8016401, 8690726385]$	$y^2=x^3-x^2-8016401x+8690726385$	2.6.0.a.1, 4.12.0.b.1, 8.96.0-8.h.1.5, 44.24.0.c.1, 88.192.1.?	$[]$
73920.b6	73920eh1	73920.b	73920eh	$6$	$8$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{10} \cdot 3^{2} \cdot 5^{16} \cdot 7^{4} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.96.0.300	2B	$176$	$192$	$1$	$1$	$1$		$1$	$2359296$	$2.435257$	$-915553975060166656/36269989013671875$	$1.04358$	$4.68573$	$[0, -1, 0, -203901, 295413885]$	$y^2=x^3-x^2-203901x+295413885$	2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.ba.1.6, 16.96.0-16.y.1.6, 22.6.0.a.1, $\ldots$	$[]$
73920.c1	73920c1	73920.c	73920c	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{14} \cdot 3^{3} \cdot 5^{5} \cdot 7 \cdot 11 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2310$	$2$	$0$	$3.319627575$	$1$		$2$	$92160$	$0.912738$	$-364954448896/6496875$	$0.88020$	$3.24309$	$[0, -1, 0, -3781, 92125]$	$y^2=x^3-x^2-3781x+92125$	2310.2.0.?	$[(36, 37)]$
73920.d1	73920eg1	73920.d	73920eg	$2$	$2$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{20} \cdot 3^{6} \cdot 5^{5} \cdot 7 \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$552960$	$1.807142$	$13782741913468081/701662500$	$0.95993$	$4.42779$	$[0, -1, 0, -319681, 69673825]$	$y^2=x^3-x^2-319681x+69673825$	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
73920.d2	73920eg2	73920.d	73920eg	$2$	$2$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{19} \cdot 3^{3} \cdot 5^{10} \cdot 7^{2} \cdot 11^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$1105920$	$2.153717$	$-11666347147400401/3126621093750$	$0.96417$	$4.44687$	$[0, -1, 0, -302401, 77522401]$	$y^2=x^3-x^2-302401x+77522401$	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[]$
73920.e1	73920ef2	73920.e	73920ef	$2$	$2$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{14} \cdot 3^{5} \cdot 5^{7} \cdot 7^{4} \cdot 11^{10} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$660$	$12$	$0$	$1$	$1$		$1$	$27955200$	$3.723610$	$414354576760345737269208016/1182266314178222109375$	$1.03557$	$6.33257$	$[0, -1, 0, -394478001, 3008347478001]$	$y^2=x^3-x^2-394478001x+3008347478001$	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[]$
73920.e2	73920ef1	73920.e	73920ef	$2$	$2$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{10} \cdot 3^{10} \cdot 5^{14} \cdot 7^{2} \cdot 11^{5} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$660$	$12$	$0$	$1$	$1$		$1$	$13977600$	$3.377033$	$-349439858058052607328256/2844147488104248046875$	$1.07764$	$5.69583$	$[0, -1, 0, -14790501, 84981540501]$	$y^2=x^3-x^2-14790501x+84981540501$	2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.?	$[]$
73920.f1	73920ee4	73920.f	73920ee	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{15} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{4} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$9240$	$48$	$0$	$6.986377730$	$1$		$11$	$81920$	$0.904651$	$337444269128/1537305$	$1.01721$	$3.29522$	$[0, -1, 0, -4641, -119679]$	$y^2=x^3-x^2-4641x-119679$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 88.12.0.?, 168.12.0.?, $\ldots$	$[(-37, 4), (-40, 19)]$
73920.f2	73920ee2	73920.f	73920ee	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{12} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} $	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$9240$	$48$	$0$	$1.746594432$	$1$		$29$	$40960$	$0.558078$	$2320940224/1334025$	$1.02504$	$2.66557$	$[0, -1, 0, -441, 441]$	$y^2=x^3-x^2-441x+441$	2.6.0.a.1, 20.12.0-2.a.1.1, 88.12.0.?, 168.12.0.?, 440.24.0.?, $\ldots$	$[(-9, 60), (0, 21)]$
73920.f3	73920ee1	73920.f	73920ee	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{6} \cdot 3 \cdot 5^{4} \cdot 7 \cdot 11 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$9240$	$48$	$0$	$6.986377730$	$1$		$5$	$20480$	$0.211504$	$54698902336/144375$	$0.93023$	$2.57646$	$[0, -1, 0, -316, 2266]$	$y^2=x^3-x^2-316x+2266$	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 88.12.0.?, 168.12.0.?, $\ldots$	$[(15, 26), (111, 1150)]$
73920.f4	73920ee3	73920.f	73920ee	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{15} \cdot 3^{4} \cdot 5 \cdot 7^{4} \cdot 11 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$9240$	$48$	$0$	$6.986377730$	$1$		$9$	$81920$	$0.904651$	$18357958072/10696455$	$0.92878$	$3.03553$	$[0, -1, 0, 1759, 1761]$	$y^2=x^3-x^2+1759x+1761$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 88.12.0.?, 168.12.0.?, $\ldots$	$[(35, 324), (3, 84)]$
73920.g1	73920ed4	73920.g	73920ed	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{15} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 11^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.12	2B	$168$	$48$	$0$	$1$	$4$	$2$	$1$	$589824$	$1.949478$	$36489314991346568/1012845712725$	$0.95470$	$4.32915$	$[0, -1, 0, -221121, -38976255]$	$y^2=x^3-x^2-221121x-38976255$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.2, $\ldots$	$[]$
73920.g2	73920ed2	73920.g	73920ed	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{12} \cdot 3^{6} \cdot 5^{4} \cdot 7^{2} \cdot 11^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.1	2Cs	$168$	$48$	$0$	$1$	$1$		$3$	$294912$	$1.602905$	$894838079076544/326869475625$	$0.97378$	$3.81290$	$[0, -1, 0, -32121, 1356345]$	$y^2=x^3-x^2-32121x+1356345$	2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.a.1.3, 28.12.0.a.1, $\ldots$	$[]$
73920.g3	73920ed1	73920.g	73920ed	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{6} \cdot 3^{12} \cdot 5^{2} \cdot 7 \cdot 11^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.8	2B	$168$	$48$	$0$	$1$	$1$		$1$	$147456$	$1.256332$	$39902117402149696/11253263175$	$0.98041$	$3.78067$	$[0, -1, 0, -28476, 1858626]$	$y^2=x^3-x^2-28476x+1858626$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.16, 28.12.0.h.1, $\ldots$	$[]$
73920.g4	73920ed3	73920.g	73920ed	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{15} \cdot 3^{3} \cdot 5^{8} \cdot 7^{4} \cdot 11^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.7	2B	$168$	$48$	$0$	$1$	$1$		$1$	$589824$	$1.949478$	$3231158304084472/3064088671875$	$0.96001$	$4.11292$	$[0, -1, 0, 98559, 9484641]$	$y^2=x^3-x^2+98559x+9484641$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.1, 24.24.0-24.v.1.4, $\ldots$	$[]$
73920.h1	73920a2	73920.h	73920a	$2$	$2$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{14} \cdot 3^{3} \cdot 5 \cdot 7^{4} \cdot 11^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$660$	$12$	$0$	$2.268645252$	$1$		$5$	$110592$	$0.955323$	$68150496976/39220335$	$0.93854$	$3.09070$	$[0, -1, 0, -2161, -2159]$	$y^2=x^3-x^2-2161x-2159$	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[(48, 49)]$
73920.h2	73920a1	73920.h	73920a	$2$	$2$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$660$	$12$	$0$	$1.134322626$	$1$		$7$	$55296$	$0.608749$	$16880451584/9823275$	$0.99667$	$2.71890$	$[0, -1, 0, 539, -539]$	$y^2=x^3-x^2+539x-539$	2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.?	$[(21, 140)]$
73920.i1	73920dw1	73920.i	73920dw	$2$	$2$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{12} \cdot 3^{14} \cdot 5 \cdot 7^{3} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$301056$	$1.489889$	$194748913457344/90230710185$	$0.97418$	$3.67688$	$[0, -1, 0, -19321, 468025]$	$y^2=x^3-x^2-19321x+468025$	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
73920.i2	73920dw2	73920.i	73920dw	$2$	$2$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{15} \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	$9240$	$12$	$0$	$1$	$1$		$1$	$602112$	$1.836462$	$1068653802545272/778327548075$	$0.95851$	$4.01422$	$[0, -1, 0, 68159, 3459841]$	$y^2=x^3-x^2+68159x+3459841$	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[]$
73920.j1	73920dx1	73920.j	73920dx	$2$	$2$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{16} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$36864$	$0.398026$	$188183524/3465$	$0.90568$	$2.68879$	$[0, -1, 0, -481, -3839]$	$y^2=x^3-x^2-481x-3839$	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
73920.j2	73920dx2	73920.j	73920dx	$2$	$2$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{17} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$73728$	$0.744599$	$-2/444675$	$1.12130$	$2.87611$	$[0, -1, 0, -1, -11615]$	$y^2=x^3-x^2-x-11615$	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[]$
73920.k1	73920eb4	73920.k	73920eb	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{15} \cdot 3^{3} \cdot 5 \cdot 7 \cdot 11^{8} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.12	2B	$840$	$48$	$0$	$21.92814211$	$1$		$7$	$491520$	$1.743057$	$723231880398728/202569142545$	$0.93980$	$3.97940$	$[0, -1, 0, -59841, 4067361]$	$y^2=x^3-x^2-59841x+4067361$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 28.12.0-4.c.1.1, 56.24.0-56.bb.1.9, $\ldots$	$[(299, 3580), (208, 759)]$
73920.k2	73920eb2	73920.k	73920eb	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 11^{4} $	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.1	2Cs	$840$	$48$	$0$	$5.482035529$	$1$		$21$	$245760$	$1.396482$	$289119478354624/13074779025$	$1.07386$	$3.71212$	$[0, -1, 0, -22041, -1201959]$	$y^2=x^3-x^2-22041x-1201959$	2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0-2.a.1.1, 56.24.0-56.a.1.2, 60.12.0.a.1, $\ldots$	$[(-79, 200), (-72, 81)]$
73920.k3	73920eb1	73920.k	73920eb	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{6} \cdot 3^{3} \cdot 5 \cdot 7^{4} \cdot 11^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.7	2B	$840$	$48$	$0$	$21.92814211$	$1$		$5$	$122880$	$1.049910$	$17893449053367616/39220335$	$1.08660$	$3.70913$	$[0, -1, 0, -21796, -1231310]$	$y^2=x^3-x^2-21796x-1231310$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 56.24.0-56.bb.1.6, 60.12.0.h.1, $\ldots$	$[(885/2, 17395/2), (1679, 68502)]$
73920.k4	73920eb3	73920.k	73920eb	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{15} \cdot 3^{12} \cdot 5^{4} \cdot 7 \cdot 11^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.8	2B	$840$	$48$	$0$	$5.482035529$	$1$		$13$	$491520$	$1.743057$	$5599924283512/281331579375$	$0.97059$	$3.94293$	$[0, -1, 0, 11839, -4596735]$	$y^2=x^3-x^2+11839x-4596735$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 28.12.0-4.c.1.2, 56.24.0-56.v.1.3, $\ldots$	$[(193, 2200), (721, 19448)]$
73920.l1	73920ec4	73920.l	73920ec	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{18} \cdot 3^{4} \cdot 5^{12} \cdot 7^{4} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.7	2B	$3080$	$48$	$0$	$1$	$1$		$1$	$2359296$	$2.555199$	$981281029968144361/522287841796875$	$1.01026$	$4.80827$	$[0, -1, 0, -1324961, 166756161]$	$y^2=x^3-x^2-1324961x+166756161$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 44.12.0.h.1, 88.24.0.?, $\ldots$	$[]$
73920.l2	73920ec2	73920.l	73920ec	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{18} \cdot 3^{8} \cdot 5^{6} \cdot 7^{2} \cdot 11^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.1	2Cs	$3080$	$48$	$0$	$1$	$1$		$3$	$1179648$	$2.208626$	$474334834335054841/607815140625$	$0.97695$	$4.74343$	$[0, -1, 0, -1039841, 408024705]$	$y^2=x^3-x^2-1039841x+408024705$	2.6.0.a.1, 8.12.0-2.a.1.1, 44.12.0.a.1, 88.24.0.?, 140.12.0.?, $\ldots$	$[]$
73920.l3	73920ec1	73920.l	73920ec	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{18} \cdot 3^{4} \cdot 5^{3} \cdot 7 \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.12	2B	$3080$	$48$	$0$	$1$	$1$		$1$	$589824$	$1.862051$	$473897054735271721/779625$	$0.97692$	$4.74335$	$[0, -1, 0, -1039521, 408288321]$	$y^2=x^3-x^2-1039521x+408288321$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 88.24.0.?, 280.24.0.?, $\ldots$	$[]$
73920.l4	73920ec3	73920.l	73920ec	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{18} \cdot 3^{16} \cdot 5^{3} \cdot 7 \cdot 11^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.8	2B	$3080$	$48$	$0$	$1$	$4$	$2$	$1$	$2359296$	$2.555199$	$-185077034913624841/551466161890875$	$0.99497$	$4.82149$	$[0, -1, 0, -759841, 632416705]$	$y^2=x^3-x^2-759841x+632416705$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 70.6.0.a.1, 88.24.0.?, $\ldots$	$[]$
73920.m1	73920ea1	73920.m	73920ea	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{6} \cdot 3 \cdot 5^{3} \cdot 7 \cdot 11 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$2310$	$2$	$0$	$1$	$1$		$0$	$11520$	$-0.118613$	$-4096/28875$	$0.93381$	$1.95209$	$[0, -1, 0, -1, -65]$	$y^2=x^3-x^2-x-65$	2310.2.0.?	$[]$
73920.n1	73920dz4	73920.n	73920dz	$6$	$8$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{28} \cdot 3^{3} \cdot 5 \cdot 7^{8} \cdot 11^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.225	2B	$1680$	$192$	$1$	$1$	$4$	$2$	$1$	$35389440$	$3.897152$	$78519570041710065450485106721/96428056919040$	$1.05292$	$7.04769$	$[0, -1, 0, -5709499521, -166050503697375]$	$y^2=x^3-x^2-5709499521x-166050503697375$	2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.2.2, 60.12.0.h.1, 112.96.0.?, $\ldots$	$[]$
73920.n2	73920dz6	73920.n	73920dz	$6$	$8$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{23} \cdot 3^{6} \cdot 5^{2} \cdot 7 \cdot 11^{16} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.48.0.192	2B	$1680$	$192$	$1$	$1$	$1$		$1$	$70778880$	$4.243729$	$1997773216431678333214187041/187585177195046990066400$	$1.04698$	$6.72021$	$[0, -1, 0, -1679271041, 24243507729441]$	$y^2=x^3-x^2-1679271041x+24243507729441$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 16.48.0-16.e.1.14, 28.12.0-4.c.1.1, $\ldots$	$[]$
73920.n3	73920dz3	73920.n	73920dz	$6$	$8$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{28} \cdot 3^{12} \cdot 5^{4} \cdot 7^{2} \cdot 11^{8} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.85	2Cs	$840$	$192$	$1$	$1$	$1$		$3$	$35389440$	$3.897152$	$21876183941534093095979041/3572502915711058560000$	$1.03817$	$6.31752$	$[0, -1, 0, -372903041, -2348135457759]$	$y^2=x^3-x^2-372903041x-2348135457759$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.3, 28.24.0-4.b.1.2, 56.96.0-56.n.1.4, $\ldots$	$[]$
73920.n4	73920dz2	73920.n	73920dz	$6$	$8$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{38} \cdot 3^{6} \cdot 5^{2} \cdot 7^{4} \cdot 11^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.130	2Cs	$840$	$192$	$1$	$1$	$1$		$3$	$17694720$	$3.550579$	$19170300594578891358373921/671785075055001600$	$1.03480$	$6.30574$	$[0, -1, 0, -356846721, -2594404082655]$	$y^2=x^3-x^2-356846721x-2594404082655$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.11, 56.96.0-56.r.1.7, 60.24.0.c.1, $\ldots$	$[]$
73920.n5	73920dz1	73920.n	73920dz	$6$	$8$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{58} \cdot 3^{3} \cdot 5 \cdot 7^{2} \cdot 11^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.48.0.185	2B	$1680$	$192$	$1$	$1$	$1$		$1$	$8847360$	$3.204006$	$-4078208988807294650401/880065599546327040$	$1.01432$	$5.57979$	$[0, -1, 0, -21302401, -44334359519]$	$y^2=x^3-x^2-21302401x-44334359519$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 16.48.0-16.e.2.8, 30.6.0.a.1, $\ldots$	$[]$
73920.n6	73920dz5	73920.n	73920dz	$6$	$8$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{23} \cdot 3^{24} \cdot 5^{8} \cdot 7 \cdot 11^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.219	2B	$1680$	$192$	$1$	$1$	$1$		$1$	$70778880$	$4.243729$	$130650216943167617311657439/361816948816603087500000$	$1.05429$	$6.59567$	$[0, -1, 0, 676563839, -13178843552735]$	$y^2=x^3-x^2+676563839x-13178843552735$	2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.1.7, 28.12.0-4.c.1.2, 56.96.0-56.bn.1.2, $\ldots$	$[]$
73920.o1	73920dy4	73920.o	73920dy	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{20} \cdot 3^{2} \cdot 5^{4} \cdot 7^{4} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.7	2B	$3080$	$48$	$0$	$1$	$1$		$1$	$393216$	$1.671349$	$1080077156587801/594247500$	$0.94602$	$4.20066$	$[0, -1, 0, -136801, -19420415]$	$y^2=x^3-x^2-136801x-19420415$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 44.12.0.h.1, 88.24.0.?, $\ldots$	$[]$
73920.o2	73920dy2	73920.o	73920dy	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{22} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.1	2Cs	$3080$	$48$	$0$	$1$	$1$		$3$	$196608$	$1.324776$	$432252699481/192099600$	$0.91312$	$3.50280$	$[0, -1, 0, -10081, -184319]$	$y^2=x^3-x^2-10081x-184319$	2.6.0.a.1, 8.12.0-2.a.1.1, 44.12.0.a.1, 88.24.0.?, 140.12.0.?, $\ldots$	$[]$
73920.o3	73920dy1	73920.o	73920dy	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{26} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.12	2B	$3080$	$48$	$0$	$1$	$1$		$1$	$98304$	$0.978202$	$51520374361/887040$	$1.02035$	$3.31306$	$[0, -1, 0, -4961, 134145]$	$y^2=x^3-x^2-4961x+134145$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 88.24.0.?, 280.24.0.?, $\ldots$	$[]$
73920.o4	73920dy3	73920.o	73920dy	$4$	$4$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{20} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 11^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.8	2B	$3080$	$48$	$0$	$1$	$4$	$2$	$1$	$393216$	$1.671349$	$17655210697319/13448344140$	$0.94443$	$3.83371$	$[0, -1, 0, 34719, -1411839]$	$y^2=x^3-x^2+34719x-1411839$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 70.6.0.a.1, 88.24.0.?, $\ldots$	$[]$
73920.p1	73920b6	73920.p	73920b	$6$	$8$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{17} \cdot 3^{3} \cdot 5^{8} \cdot 7^{4} \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.95	2B	$2640$	$192$	$1$	$26.18793351$	$1$		$1$	$4718592$	$3.013855$	$1520949008089505953959842/278553515625$	$1.02650$	$6.01788$	$[0, -1, 0, -121702721, -516730924479]$	$y^2=x^3-x^2-121702721x-516730924479$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 24.48.0-24.by.1.1, 80.48.0.?, $\ldots$	$[(-30086710413080/68731, 2389324413001391/68731)]$
73920.p2	73920b4	73920.p	73920b	$6$	$8$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{16} \cdot 3^{6} \cdot 5^{4} \cdot 7^{8} \cdot 11^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.20	2Cs	$1320$	$192$	$1$	$13.09396675$	$1$		$3$	$2359296$	$2.667282$	$742879737792994384804/317817082130625$	$1.00073$	$5.27596$	$[0, -1, 0, -7607201, -8070277215]$	$y^2=x^3-x^2-7607201x-8070277215$	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.11, 24.48.0-24.h.1.21, 40.48.0-40.m.1.9, $\ldots$	$[(3330163/31, 2522427700/31)]$

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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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