LMFDB - Elliptic curves over $\Q$ of conductor 66990

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	Sato-Tate	Semistable	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
66990.a1	66990b4	66990.a	66990b	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2 \cdot 3^{20} \cdot 5^{8} \cdot 7^{3} \cdot 11^{2} \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.8	2B	$4872$	$48$	$0$	$5.482560019$	$1$		$2$	$6881280$	$2.940449$	$278626983021592638318812809/3278631544411239843750$	$0.98458$	$5.47969$	$[1, 1, 0, -13607128, 19116490978]$	$y^2+xy=x^3+x^2-13607128x+19116490978$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.16, 812.12.0.?, $\ldots$	$[(6209, 414083)]$
66990.a2	66990b2	66990.a	66990b	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2^{2} \cdot 3^{10} \cdot 5^{4} \cdot 7^{6} \cdot 11^{4} \cdot 29^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.1	2Cs	$4872$	$48$	$0$	$2.741280009$	$1$		$8$	$3440640$	$2.593872$	$429009243518291867477929/213849151973082202500$	$0.98098$	$4.89690$	$[1, 1, 0, -1571258, -282924288]$	$y^2+xy=x^3+x^2-1571258x-282924288$	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, 812.12.0.?, $\ldots$	$[(-809, 21842)]$
66990.a3	66990b1	66990.a	66990b	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2^{4} \cdot 3^{5} \cdot 5^{2} \cdot 7^{3} \cdot 11^{8} \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.12	2B	$4872$	$48$	$0$	$5.482560019$	$1$		$3$	$1720320$	$2.247299$	$231080477355061087212649/207252541120640400$	$0.96165$	$4.84122$	$[1, 1, 0, -1278438, -556476732]$	$y^2+xy=x^3+x^2-1278438x-556476732$	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, $\ldots$	$[(-643, 799)]$
66990.a4	66990b3	66990.a	66990b	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ - 2 \cdot 3^{5} \cdot 5^{2} \cdot 7^{12} \cdot 11^{2} \cdot 29^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.7	2B	$4872$	$48$	$0$	$5.482560019$	$1$		$2$	$6881280$	$2.940449$	$21349740244191847497270071/14392297247549328642150$	$0.99425$	$5.24852$	$[1, 1, 0, 5779492, -2169126738]$	$y^2+xy=x^3+x^2+5779492x-2169126738$	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, $\ldots$	$[(5623, 453431)]$
66990.b1	66990a4	66990.b	66990a	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2 \cdot 3^{20} \cdot 5 \cdot 7 \cdot 11^{8} \cdot 29^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.8	2B	$840$	$48$	$0$	$21.45656185$	$1$		$0$	$10158080$	$3.095074$	$680559689509885067385407689/44000803930387041592470$	$0.98792$	$5.56005$	$[1, 1, 0, -18325148, -28464946302]$	$y^2+xy=x^3+x^2-18325148x-28464946302$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.16, 140.12.0.?, $\ldots$	$[(505443977453/436, 359232721268557937/436)]$
66990.b2	66990a2	66990.b	66990a	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2^{2} \cdot 3^{10} \cdot 5^{2} \cdot 7^{2} \cdot 11^{4} \cdot 29^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.1	2Cs	$840$	$48$	$0$	$10.72828092$	$1$		$4$	$5079040$	$2.748501$	$648288911989966686356205289/2996203861880252100$	$0.98685$	$5.55568$	$[1, 1, 0, -18030798, -29476744992]$	$y^2+xy=x^3+x^2-18030798x-29476744992$	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, 140.12.0.?, $\ldots$	$[(2658888, 4334274612)]$
66990.b3	66990a1	66990.b	66990a	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2^{4} \cdot 3^{5} \cdot 5 \cdot 7 \cdot 11^{2} \cdot 29^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.12	2B	$840$	$48$	$0$	$21.45656185$	$1$		$1$	$2539520$	$2.401928$	$648286754720474210294634409/13847636880$	$0.98685$	$5.55568$	$[1, 1, 0, -18030778, -29476813628]$	$y^2+xy=x^3+x^2-18030778x-29476813628$	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, $\ldots$	$[(4148559852/79, 267036815896054/79)]$
66990.b4	66990a3	66990.b	66990a	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ - 2 \cdot 3^{5} \cdot 5^{4} \cdot 7^{4} \cdot 11^{2} \cdot 29^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.7	2B	$840$	$48$	$0$	$21.45656185$	$1$		$0$	$10158080$	$3.095074$	$-617088149901236640078127369/44144621772477214353750$	$0.98765$	$5.56173$	$[1, 1, 0, -17736768, -30484150578]$	$y^2+xy=x^3+x^2-17736768x-30484150578$	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, $\ldots$	$[(14560070567/74, 1756352109964599/74)]$
66990.c1	66990d2	66990.c	66990d	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \cdot 29^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$53592$	$12$	$0$	$1$	$1$		$0$	$706560$	$1.681601$	$21138336127046465209/2308390344136800$	$0.92532$	$4.00436$	$[1, 1, 0, -57603, -4817043]$	$y^2+xy=x^3+x^2-57603x-4817043$	2.3.0.a.1, 88.6.0.?, 2436.6.0.?, 53592.12.0.?	$[]$
66990.c2	66990d1	66990.c	66990d	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2^{10} \cdot 3 \cdot 5^{4} \cdot 7 \cdot 11^{2} \cdot 29^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$53592$	$12$	$0$	$1$	$1$		$1$	$353280$	$1.335026$	$278405422845569209/39662367360000$	$0.90378$	$3.61472$	$[1, 1, 0, -13603, 524557]$	$y^2+xy=x^3+x^2-13603x+524557$	2.3.0.a.1, 88.6.0.?, 1218.6.0.?, 53592.12.0.?	$[]$
66990.d1	66990c4	66990.d	66990c	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2 \cdot 3 \cdot 5 \cdot 7^{4} \cdot 11^{2} \cdot 29^{4} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$24360$	$48$	$0$	$3.963112602$	$1$		$10$	$180224$	$1.288698$	$914053996259040169/6164399502030$	$0.90754$	$3.72170$	$[1, 1, 0, -20218, 1091662]$	$y^2+xy=x^3+x^2-20218x+1091662$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.2, 120.24.0.?, $\ldots$	$[(99, 220), (143, 1001)]$
66990.d2	66990c2	66990.d	66990c	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11^{4} \cdot 29^{2} $	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.6.0.1	2Cs	$24360$	$48$	$0$	$0.990778150$	$1$		$36$	$90112$	$0.942125$	$978821296874569/543006872100$	$0.90161$	$3.10623$	$[1, 1, 0, -2068, -8228]$	$y^2+xy=x^3+x^2-2068x-8228$	2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0-2.a.1.1, 120.24.0.?, 812.12.0.?, $\ldots$	$[(66, 352), (-22, 176)]$
66990.d3	66990c1	66990.d	66990c	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2^{4} \cdot 3 \cdot 5^{4} \cdot 7 \cdot 11^{2} \cdot 29 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$24360$	$48$	$0$	$3.963112602$	$1$		$11$	$45056$	$0.595551$	$426770691362569/736890000$	$0.85973$	$3.03153$	$[1, 1, 0, -1568, -24528]$	$y^2+xy=x^3+x^2-1568x-24528$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.4, 120.24.0.?, $\ldots$	$[(-23, 6), (409/3, 74/3)]$
66990.d4	66990c3	66990.d	66990c	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ - 2 \cdot 3^{4} \cdot 5 \cdot 7 \cdot 11^{8} \cdot 29 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$24360$	$48$	$0$	$3.963112602$	$1$		$8$	$180224$	$1.288698$	$58370885971339031/35247030802830$	$0.92647$	$3.47413$	$[1, 1, 0, 8082, -54918]$	$y^2+xy=x^3+x^2+8082x-54918$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.1, 120.24.0.?, $\ldots$	$[(37, 526), (817/3, 31142/3)]$
66990.e1	66990e2	66990.e	66990e	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2 \cdot 3^{10} \cdot 5^{4} \cdot 7^{2} \cdot 11^{2} \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$53592$	$12$	$0$	$3.722622486$	$1$		$0$	$512000$	$1.647545$	$794354408128395080569/12691180136250$	$0.93964$	$4.33070$	$[1, 1, 0, -192943, -32700653]$	$y^2+xy=x^3+x^2-192943x-32700653$	2.3.0.a.1, 232.6.0.?, 924.6.0.?, 53592.12.0.?	$[(9679/2, 925871/2)]$
66990.e2	66990e1	66990.e	66990e	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ - 2^{2} \cdot 3^{5} \cdot 5^{8} \cdot 7 \cdot 11 \cdot 29^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$53592$	$12$	$0$	$7.445244972$	$1$		$1$	$256000$	$1.300972$	$-176831484696980569/24587423437500$	$0.90103$	$3.59325$	$[1, 1, 0, -11693, -546903]$	$y^2+xy=x^3+x^2-11693x-546903$	2.3.0.a.1, 232.6.0.?, 462.6.0.?, 53592.12.0.?	$[(9886/7, 759303/7)]$
66990.f1	66990f4	66990.f	66990f	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2 \cdot 3^{12} \cdot 5 \cdot 7^{2} \cdot 11 \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.8	2B	$38280$	$48$	$0$	$1.410737224$	$4$	$2$	$4$	$688128$	$1.802509$	$64077258266875252912969/83069542710$	$0.95699$	$4.72579$	$[1, 1, 0, -833668, 292632802]$	$y^2+xy=x^3+x^2-833668x+292632802$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.16, 6380.12.0.?, $\ldots$	$[(527, -253)]$
66990.f2	66990f2	66990.f	66990f	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2^{2} \cdot 3^{6} \cdot 5^{2} \cdot 7^{4} \cdot 11^{2} \cdot 29^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.1	2Cs	$38280$	$48$	$0$	$0.705368612$	$1$		$14$	$344064$	$1.455936$	$15656690150225745769/17811522936900$	$0.92188$	$3.97734$	$[1, 1, 0, -52118, 4553472]$	$y^2+xy=x^3+x^2-52118x+4553472$	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, 6380.12.0.?, $\ldots$	$[(142, 132)]$
66990.f3	66990f3	66990.f	66990f	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ - 2 \cdot 3^{3} \cdot 5^{4} \cdot 7^{2} \cdot 11^{4} \cdot 29^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.7	2B	$38280$	$48$	$0$	$1.410737224$	$1$		$6$	$688128$	$1.802509$	$-6504111622488557449/17125079228853750$	$1.00893$	$4.05251$	$[1, 1, 0, -38888, 6937518]$	$y^2+xy=x^3+x^2-38888x+6937518$	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, $\ldots$	$[(-47, 2967)]$
66990.f4	66990f1	66990.f	66990f	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2^{4} \cdot 3^{3} \cdot 5 \cdot 7^{8} \cdot 11 \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.12	2B	$38280$	$48$	$0$	$1.410737224$	$1$		$5$	$172032$	$1.109362$	$7613864666728489/3972178481040$	$0.90455$	$3.29084$	$[1, 1, 0, -4098, 29988]$	$y^2+xy=x^3+x^2-4098x+29988$	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, $\ldots$	$[(-19, 328)]$
66990.g1	66990g4	66990.g	66990g	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2^{3} \cdot 3^{4} \cdot 5^{4} \cdot 7 \cdot 11^{3} \cdot 29^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$267960$	$48$	$0$	$1$	$1$		$0$	$737280$	$1.927195$	$7156076267669732376121/2668843516185000$	$1.07581$	$4.52852$	$[1, 1, 0, -401467, 97710421]$	$y^2+xy=x^3+x^2-401467x+97710421$	2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.1, 56.12.0-4.c.1.2, 616.24.0.?, $\ldots$	$[]$
66990.g2	66990g2	66990.g	66990g	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11^{6} \cdot 29^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.6.0.1	2Cs	$267960$	$48$	$0$	$1$	$1$		$2$	$368640$	$1.580620$	$2638374907549865401/1051261304385600$	$0.92459$	$3.81709$	$[1, 1, 0, -28787, 1037229]$	$y^2+xy=x^3+x^2-28787x+1037229$	2.6.0.a.1, 44.12.0-2.a.1.1, 56.12.0-2.a.1.1, 616.24.0.?, 1740.12.0.?, $\ldots$	$[]$
66990.g3	66990g1	66990.g	66990g	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2^{12} \cdot 3 \cdot 5 \cdot 7^{4} \cdot 11^{3} \cdot 29 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$267960$	$48$	$0$	$1$	$4$	$2$	$1$	$184320$	$1.234047$	$249049332520100281/5694025666560$	$0.90070$	$3.60469$	$[1, 1, 0, -13107, -571539]$	$y^2+xy=x^3+x^2-13107x-571539$	2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.2, 56.12.0-4.c.1.4, 616.24.0.?, $\ldots$	$[]$
66990.g4	66990g3	66990.g	66990g	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ - 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{12} \cdot 29 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$267960$	$48$	$0$	$1$	$16$	$2$	$0$	$737280$	$1.927195$	$88991263500189913799/76452115256923560$	$0.94495$	$4.13371$	$[1, 1, 0, 93013, 7638789]$	$y^2+xy=x^3+x^2+93013x+7638789$	2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.1, 88.12.0.?, 616.24.0.?, $\ldots$	$[]$
66990.h1	66990h1	66990.h	66990h	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ - 2^{5} \cdot 3^{11} \cdot 5^{3} \cdot 7^{8} \cdot 11 \cdot 29 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$38280$	$2$	$0$	$4.752157038$	$1$		$0$	$1224960$	$2.161354$	$875116120250410988039/1303073150705172000$	$0.95426$	$4.38018$	$[1, 1, 0, 199273, -42859659]$	$y^2+xy=x^3+x^2+199273x-42859659$	38280.2.0.?	$[(15643/2, 1953177/2)]$
66990.i1	66990j4	66990.i	66990j	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2 \cdot 3^{8} \cdot 5^{2} \cdot 7^{2} \cdot 11 \cdot 29^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.8	2B	$2552$	$48$	$0$	$1.669137702$	$1$		$4$	$589824$	$1.672569$	$338218578359400017161/125060683774950$	$0.93597$	$4.25387$	$[1, 1, 0, -145152, 21218274]$	$y^2+xy=x^3+x^2-145152x+21218274$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 44.12.0-4.c.1.1, 88.24.0.?, $\ldots$	$[(243, 486)]$
66990.i2	66990j3	66990.i	66990j	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{8} \cdot 11^{4} \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.7	2B	$2552$	$48$	$0$	$1.669137702$	$1$		$6$	$589824$	$1.672569$	$47884386060501689161/1101451991305050$	$0.92755$	$4.07794$	$[1, 1, 0, -75652, -7879826]$	$y^2+xy=x^3+x^2-75652x-7879826$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 88.24.0.?, 116.12.0.?, $\ldots$	$[(-147, 376)]$
66990.i3	66990j2	66990.i	66990j	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2^{2} \cdot 3^{4} \cdot 5^{4} \cdot 7^{4} \cdot 11^{2} \cdot 29^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.1	2Cs	$2552$	$48$	$0$	$0.834568851$	$1$		$14$	$294912$	$1.325994$	$124491441248453161/49476452602500$	$0.90835$	$3.54229$	$[1, 1, 0, -10402, 224224]$	$y^2+xy=x^3+x^2-10402x+224224$	2.6.0.a.1, 8.12.0-2.a.1.1, 44.12.0-2.a.1.1, 88.24.0.?, 116.12.0.?, $\ldots$	$[(-2, 496)]$
66990.i4	66990j1	66990.i	66990j	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ - 2^{4} \cdot 3^{2} \cdot 5^{8} \cdot 7^{2} \cdot 11 \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.12	2B	$2552$	$48$	$0$	$0.417284425$	$1$		$11$	$147456$	$0.979422$	$1020508625346839/879243750000$	$0.88379$	$3.10998$	$[1, 1, 0, 2098, 26724]$	$y^2+xy=x^3+x^2+2098x+26724$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 44.12.0-4.c.1.2, 88.24.0.?, $\ldots$	$[(8, 206)]$
66990.j1	66990k2	66990.j	66990k	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2^{2} \cdot 3^{4} \cdot 5^{4} \cdot 7^{2} \cdot 11 \cdot 29 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$8932$	$12$	$0$	$0.652062722$	$1$		$24$	$102400$	$0.861510$	$34353798272506441/3165277500$	$0.88875$	$3.42643$	$[1, 1, 0, -6772, 211684]$	$y^2+xy=x^3+x^2-6772x+211684$	2.3.0.a.1, 28.6.0.c.1, 1276.6.0.?, 8932.12.0.?	$[(38, 86), (48, -14)]$
66990.j2	66990k1	66990.j	66990k	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ - 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \cdot 29^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$8932$	$12$	$0$	$0.652062722$	$1$		$21$	$51200$	$0.514936$	$-6688239997321/2564377200$	$0.83499$	$2.70329$	$[1, 1, 0, -392, 3696]$	$y^2+xy=x^3+x^2-392x+3696$	2.3.0.a.1, 14.6.0.b.1, 1276.6.0.?, 8932.12.0.?	$[(5, 41), (-13, 89)]$
66990.k1	66990i2	66990.k	66990i	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2^{3} \cdot 3^{14} \cdot 5^{2} \cdot 7^{2} \cdot 11^{3} \cdot 29^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$53592$	$12$	$0$	$2.712075603$	$1$		$4$	$1548288$	$2.217312$	$322704084136715569106281/52468384566490200$	$0.96282$	$4.87127$	$[1, 1, 0, -1428982, -657992036]$	$y^2+xy=x^3+x^2-1428982x-657992036$	2.3.0.a.1, 88.6.0.?, 2436.6.0.?, 53592.12.0.?	$[(-697, 431)]$
66990.k2	66990i1	66990.k	66990i	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2^{6} \cdot 3^{7} \cdot 5^{4} \cdot 7 \cdot 11^{6} \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$53592$	$12$	$0$	$1.356037801$	$1$		$7$	$774144$	$1.870739$	$104032620387670562281/31460159724840000$	$0.93773$	$4.14777$	$[1, 1, 0, -97982, -8197836]$	$y^2+xy=x^3+x^2-97982x-8197836$	2.3.0.a.1, 88.6.0.?, 1218.6.0.?, 53592.12.0.?	$[(-92, 266)]$
66990.l1	66990n2	66990.l	66990n	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2^{2} \cdot 3^{4} \cdot 5^{4} \cdot 7^{6} \cdot 11 \cdot 29 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$8932$	$12$	$0$	$0.447232574$	$1$		$32$	$233472$	$1.164913$	$15527889380951641/7599831277500$	$0.90389$	$3.35497$	$[1, 1, 0, -5197, 54481]$	$y^2+xy=x^3+x^2-5197x+54481$	2.3.0.a.1, 28.6.0.c.1, 1276.6.0.?, 8932.12.0.?	$[(72, 209), (2, 209)]$
66990.l2	66990n1	66990.l	66990n	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ - 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{3} \cdot 11^{2} \cdot 29^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$8932$	$12$	$0$	$0.447232574$	$1$		$29$	$116736$	$0.818339$	$182853890853479/125654482800$	$0.87700$	$2.95526$	$[1, 1, 0, 1183, 7269]$	$y^2+xy=x^3+x^2+1183x+7269$	2.3.0.a.1, 14.6.0.b.1, 1276.6.0.?, 8932.12.0.?	$[(5, 113), (-2, 71)]$
66990.m1	66990l2	66990.m	66990l	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2 \cdot 3^{6} \cdot 5^{4} \cdot 7^{2} \cdot 11 \cdot 29^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$53592$	$12$	$0$	$1.710882435$	$1$		$4$	$233472$	$1.391607$	$43818260748628859641/413068713750$	$0.92675$	$4.06996$	$[1, 1, 0, -73447, -7692041]$	$y^2+xy=x^3+x^2-73447x-7692041$	2.3.0.a.1, 88.6.0.?, 2436.6.0.?, 53592.12.0.?	$[(-157, 86)]$
66990.m2	66990l1	66990.m	66990l	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2^{2} \cdot 3^{3} \cdot 5^{8} \cdot 7 \cdot 11^{2} \cdot 29 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$53592$	$12$	$0$	$0.855441217$	$1$		$7$	$116736$	$1.045033$	$11463833154959641/1036251562500$	$0.88374$	$3.32766$	$[1, 1, 0, -4697, -115791]$	$y^2+xy=x^3+x^2-4697x-115791$	2.3.0.a.1, 88.6.0.?, 1218.6.0.?, 53592.12.0.?	$[(-47, 86)]$
66990.n1	66990m2	66990.n	66990m	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2^{15} \cdot 3^{10} \cdot 5^{2} \cdot 7^{6} \cdot 11^{2} \cdot 29 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$53592$	$12$	$0$	$1$	$1$		$0$	$9676800$	$3.142284$	$224847100999640543250607852681/19969817645636812800$	$1.00225$	$6.08202$	$[1, 1, 0, -126683832, -548872710336]$	$y^2+xy=x^3+x^2-126683832x-548872710336$	2.3.0.a.1, 232.6.0.?, 924.6.0.?, 53592.12.0.?	$[]$
66990.n2	66990m1	66990.n	66990m	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ - 2^{30} \cdot 3^{5} \cdot 5^{4} \cdot 7^{3} \cdot 11 \cdot 29^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$53592$	$12$	$0$	$1$	$1$		$1$	$4838400$	$2.795712$	$-54522701314418593165036681/517450679829135360000$	$1.03326$	$5.33435$	$[1, 1, 0, -7899832, -8619321536]$	$y^2+xy=x^3+x^2-7899832x-8619321536$	2.3.0.a.1, 232.6.0.?, 462.6.0.?, 53592.12.0.?	$[]$
66990.o1	66990s4	66990.o	66990s	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2^{2} \cdot 3^{4} \cdot 5^{8} \cdot 7^{4} \cdot 11^{3} \cdot 29 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$53592$	$48$	$0$	$0.194308645$	$1$		$46$	$1179648$	$2.085571$	$63049548991759922403001/11729331435937500$	$0.95694$	$4.72433$	$[1, 1, 0, -829187, 290228961]$	$y^2+xy=x^3+x^2-829187x+290228961$	2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.1, 116.12.0.?, 168.12.0.?, $\ldots$	$[(592, 2399), (515, 89)]$
66990.o2	66990s3	66990.o	66990s	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11^{12} \cdot 29 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$53592$	$48$	$0$	$3.108938327$	$1$		$10$	$1179648$	$2.085571$	$5233549413639074746681/191130288142308900$	$0.94797$	$4.50036$	$[1, 1, 0, -361707, -81196311]$	$y^2+xy=x^3+x^2-361707x-81196311$	2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 88.12.0.?, 116.12.0.?, $\ldots$	$[(-367, 1696), (1085, 27832)]$
66990.o3	66990s2	66990.o	66990s	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2^{4} \cdot 3^{2} \cdot 5^{4} \cdot 7^{2} \cdot 11^{6} \cdot 29^{2} $	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.6.0.1	2Cs	$26796$	$48$	$0$	$0.777234581$	$1$		$42$	$589824$	$1.738998$	$20705374708157938681/6570383152410000$	$0.93089$	$4.00250$	$[1, 1, 0, -57207, 3515589]$	$y^2+xy=x^3+x^2-57207x+3515589$	2.6.0.a.1, 44.12.0-2.a.1.1, 84.12.0.?, 116.12.0.?, 924.24.0.?, $\ldots$	$[(53, 771), (273, 2751)]$
66990.o4	66990s1	66990.o	66990s	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ - 2^{8} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11^{3} \cdot 29^{4} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$53592$	$48$	$0$	$3.108938327$	$1$		$13$	$294912$	$1.392424$	$113014155862911239/126522951878400$	$0.91155$	$3.53359$	$[1, 1, 0, 10073, 380341]$	$y^2+xy=x^3+x^2+10073x+380341$	2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.2, 84.12.0.?, 232.12.0.?, $\ldots$	$[(-18, 449), (15, 724)]$
66990.p1	66990p1	66990.p	66990p	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ - 2^{34} \cdot 3^{9} \cdot 5^{5} \cdot 7^{8} \cdot 11 \cdot 29 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$19140$	$2$	$0$	$1$	$1$		$0$	$44651520$	$4.000237$	$-42731897278571151330902925142441/1943283530060553152102400000$	$1.01481$	$6.56103$	$[1, 1, 0, -728354522, -7857888686316]$	$y^2+xy=x^3+x^2-728354522x-7857888686316$	19140.2.0.?	$[]$
66990.q1	66990o1	66990.q	66990o	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2^{14} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 29^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$100352$	$0.949924$	$32048644358205721/47744040960$	$0.88835$	$3.42018$	$[1, 1, 0, -6617, -209691]$	$y^2+xy=x^3+x^2-6617x-209691$	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
66990.q2	66990o2	66990.q	66990o	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ - 2^{7} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \cdot 29^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$0$	$200704$	$1.296497$	$-11463833154959641/40257302870400$	$0.90744$	$3.50365$	$[1, 1, 0, -4697, -331419]$	$y^2+xy=x^3+x^2-4697x-331419$	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[]$
66990.r1	66990r4	66990.r	66990r	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2^{5} \cdot 3^{12} \cdot 5^{4} \cdot 7^{4} \cdot 11^{5} \cdot 29^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.8	2B	$1848$	$48$	$0$	$1$	$1$		$0$	$206438400$	$4.680931$	$613791058769758026417894555777193801/2056007153338217693291005020000$	$1.03290$	$7.41565$	$[1, 1, 0, -17705123012, 904133241866736]$	$y^2+xy=x^3+x^2-17705123012x+904133241866736$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 44.12.0-4.c.1.1, 88.24.0.?, $\ldots$	$[]$
66990.r2	66990r3	66990.r	66990r	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2^{5} \cdot 3^{3} \cdot 5^{4} \cdot 7 \cdot 11^{20} \cdot 29^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.7	2B	$1848$	$48$	$0$	$1$	$4$	$2$	$0$	$206438400$	$4.680931$	$592188295221292036585800884548393801/2138658778890709618049794980000$	$1.03284$	$7.41243$	$[1, 1, 0, -17494923012, -887892444573264]$	$y^2+xy=x^3+x^2-17494923012x-887892444573264$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 84.12.0.?, 88.24.0.?, $\ldots$	$[]$
66990.r3	66990r2	66990.r	66990r	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ 2^{10} \cdot 3^{6} \cdot 5^{8} \cdot 7^{2} \cdot 11^{10} \cdot 29^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.1	2Cs	$1848$	$48$	$0$	$1$	$1$		$2$	$103219200$	$4.334351$	$453004377886529100035496162793801/262121378259577347680400000000$	$1.08508$	$6.76669$	$[1, 1, 0, -1600023012, 279598646736]$	$y^2+xy=x^3+x^2-1600023012x+279598646736$	2.6.0.a.1, 8.12.0-2.a.1.1, 44.12.0-2.a.1.1, 84.12.0.?, 88.24.0.?, $\ldots$	$[]$
66990.r4	66990r1	66990.r	66990r	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 29 $	$ - 2^{20} \cdot 3^{3} \cdot 5^{16} \cdot 7 \cdot 11^{5} \cdot 29^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.12	2B	$1848$	$48$	$0$	$1$	$1$		$1$	$51609600$	$3.987782$	$7076666469940990294391837206199/4095823263840000000000000000$	$1.07903$	$6.39241$	$[1, 1, 0, 399976988, 35198646736]$	$y^2+xy=x^3+x^2+399976988x+35198646736$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 44.12.0-4.c.1.2, 84.12.0.?, $\ldots$	$[]$

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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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