Elliptic curves over Q\Q of conductor 159201

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	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
159201.a1	159201a1	159201.a	159201a	$1$	$1$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{8} \cdot 7^{6} \cdot 19^{7}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$1$	$1$		$0$	$2695680$	$2.157932$	$-1404928/171$	$0.86512$	$4.19774$	$[0, 0, 1, -371469, -95869958]$	$y^2+y=x^3-371469x-95869958$	38.2.0.a.1	$[]$
159201.b1	159201b1	159201.b	159201b	$1$	$1$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{6} \cdot 7^{8} \cdot 19^{9}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$38$	$2$	$0$	$1$	$1$		$0$	$12257280$	$2.827785$	$-28672$	$0.74333$	$4.92415$	$[0, 0, 1, -7057911, -7431392124]$	$y^2+y=x^3-7057911x-7431392124$	38.2.0.a.1	$[]$
159201.c1	159201d1	159201.c	159201d	$1$	$1$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{15} \cdot 7^{4} \cdot 19^{8}$	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1.197356602$	$1$		$12$	$10933056$	$2.958073$	$-59584000000/19683$	$1.10928$	$5.23814$	$[0, 0, 1, -25206825, 48724708702]$	$y^2+y=x^3-25206825x+48724708702$	6.2.0.a.1	$[(2527, 34114), (70756/5, 921029/5)]$
159201.d1	159201c1	159201.d	159201c	$1$	$1$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{15} \cdot 7^{10} \cdot 19^{8}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$149.4230963$	$1$		$0$	$76531392$	$3.931026$	$-59584000000/19683$	$1.10928$	$6.21289$	$[0, 0, 1, -1235134425, -16712575084872]$	$y^2+y=x^3-1235134425x-16712575084872$	6.2.0.a.1	$[(71701564782479528408010004087168550133709590321616242725242140876/569187617314375960093170771757, 18941022124277177445594289370237958037971913611466189951376255091913174490162095853283279862705164/569187617314375960093170771757)]$
159201.e1	159201e2	159201.e	159201e	$2$	$5$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{8} \cdot 7^{6} \cdot 19^{11}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$3990$	$48$	$1$	$1$	$1$		$0$	$57024000$	$3.645889$	$-9358714467168256/22284891$	$1.06833$	$6.07024$	$[0, 0, 1, -698945457, 7112363371524]$	$y^2+y=x^3-698945457x+7112363371524$	5.12.0.a.2, 38.2.0.a.1, 190.24.1.?, 210.24.0.?, 1995.24.0.?, $\ldots$	$[]$
159201.e2	159201e1	159201.e	159201e	$2$	$5$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{16} \cdot 7^{6} \cdot 19^{7}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.1	5B.4.1	$3990$	$48$	$1$	$1$	$1$		$0$	$11404800$	$2.841167$	$841232384/1121931$	$1.00490$	$4.73789$	$[0, 0, 1, 3130953, 2435567454]$	$y^2+y=x^3+3130953x+2435567454$	5.12.0.a.1, 38.2.0.a.1, 190.24.1.?, 210.24.0.?, 1995.24.0.?, $\ldots$	$[]$
159201.f1	159201f1	159201.f	159201f	$1$	$1$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{6} \cdot 7^{2} \cdot 19^{9}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$38$	$2$	$0$	$2.176645797$	$1$		$2$	$1751040$	$1.854828$	$-28672$	$0.74333$	$3.94940$	$[0, 0, 1, -144039, 21665866]$	$y^2+y=x^3-144039x+21665866$	38.2.0.a.1	$[(722, 17147)]$
159201.g1	159201g2	159201.g	159201g	$2$	$2$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$3^{12} \cdot 7^{7} \cdot 19^{9}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$6.248174716$	$1$		$2$	$35020800$	$3.369301$	$6018636259/5103$	$0.93926$	$5.61744$	$[1, -1, 1, -114628037, -471997446280]$	$y^2+xy+y=x^3-x^2-114628037x-471997446280$	2.3.0.a.1, 84.6.0.?, 228.6.0.?, 266.6.0.?, 1596.12.0.?	$[(122289, 42533245)]$
159201.g2	159201g1	159201.g	159201g	$2$	$2$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$3^{9} \cdot 7^{8} \cdot 19^{9}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$3.124087358$	$1$		$3$	$17510400$	$3.022728$	$2685619/1323$	$0.89213$	$4.97336$	$[1, -1, 1, -8759372, -3846209650]$	$y^2+xy+y=x^3-x^2-8759372x-3846209650$	2.3.0.a.1, 84.6.0.?, 114.6.0.?, 532.6.0.?, 1596.12.0.?	$[(-516, 23410)]$
159201.h1	159201n1	159201.h	159201n	$1$	$1$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{3} \cdot 7^{7} \cdot 19^{2}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$84$	$2$	$0$	$0.303435535$	$1$		$6$	$96768$	$0.605374$	$-13851/7$	$0.67892$	$2.59010$	$[1, -1, 1, -524, 6444]$	$y^2+xy+y=x^3-x^2-524x+6444$	84.2.0.?	$[(2, 72)]$
159201.i1	159201h5	159201.i	159201h	$6$	$8$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$3^{7} \cdot 7^{8} \cdot 19^{6}$	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$6384$	$192$	$1$	$7.807515919$	$1$		$10$	$10616832$	$3.068687$	$53297461115137/147$	$1.05087$	$5.63876$	$[1, -1, 1, -124816901, 536764088522]$	$y^2+xy+y=x^3-x^2-124816901x+536764088522$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[(6414, 1864), (6450, -3284)]$
159201.i2	159201h3	159201.i	159201h	$6$	$8$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$3^{8} \cdot 7^{10} \cdot 19^{6}$	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$3192$	$192$	$1$	$7.807515919$	$1$		$18$	$5308416$	$2.722111$	$13027640977/21609$	$1.08149$	$4.94444$	$[1, -1, 1, -7804166, 8381382356]$	$y^2+xy+y=x^3-x^2-7804166x+8381382356$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$	$[(1392, 13924), (2263, 46888)]$
159201.i3	159201h4	159201.i	159201h	$6$	$8$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$3^{14} \cdot 7^{7} \cdot 19^{6}$	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.88	2B	$6384$	$192$	$1$	$7.807515919$	$1$		$8$	$5308416$	$2.722111$	$6570725617/45927$	$1.00160$	$4.88730$	$[1, -1, 1, -6212156, -5921872288]$	$y^2+xy+y=x^3-x^2-6212156x-5921872288$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$	$[(-1515, 4006), (-1347, -56)]$
159201.i4	159201h6	159201.i	159201h	$6$	$8$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{7} \cdot 7^{14} \cdot 19^{6}$	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.90	2B	$6384$	$192$	$1$	$7.807515919$	$1$		$10$	$10616832$	$3.068687$	$-4354703137/17294403$	$1.04266$	$5.02511$	$[1, -1, 1, -5416151, 13605403970]$	$y^2+xy+y=x^3-x^2-5416151x+13605403970$	2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$	$[(-2826, 81013), (898, 96840)]$
159201.i5	159201h2	159201.i	159201h	$6$	$8$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$3^{10} \cdot 7^{8} \cdot 19^{6}$	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$3192$	$192$	$1$	$7.807515919$	$1$		$18$	$2654208$	$2.375538$	$7189057/3969$	$1.14862$	$4.31810$	$[1, -1, 1, -640121, 42433976]$	$y^2+xy+y=x^3-x^2-640121x+42433976$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$	$[(-318, 14779), (-102, 10378)]$
159201.i6	159201h1	159201.i	159201h	$6$	$8$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{8} \cdot 7^{7} \cdot 19^{6}$	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.1	2B	$6384$	$192$	$1$	$7.807515919$	$1$		$11$	$1327104$	$2.028965$	$103823/63$	$0.97868$	$3.96431$	$[1, -1, 1, 155884, 5180942]$	$y^2+xy+y=x^3-x^2+155884x+5180942$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$	$[(219, 6946), (328, 9402)]$
159201.j1	159201o2	159201.j	159201o	$2$	$2$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$3^{9} \cdot 7^{8} \cdot 19^{9}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$4$	$2$	$0$	$14008320$	$3.196327$	$15438249/49$	$0.87469$	$5.39453$	$[1, -1, 1, -47073746, 123983313472]$	$y^2+xy+y=x^3-x^2-47073746x+123983313472$	2.3.0.a.1, 28.6.0.d.1, 114.6.0.?, 1596.12.0.?	$[]$
159201.j2	159201o1	159201.j	159201o	$2$	$2$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{9} \cdot 7^{7} \cdot 19^{9}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$4$	$2$	$1$	$7004160$	$2.849751$	$-729/7$	$0.74333$	$4.80234$	$[1, -1, 1, -1701461, 3583417996]$	$y^2+xy+y=x^3-x^2-1701461x+3583417996$	2.3.0.a.1, 28.6.0.d.1, 228.6.0.?, 798.6.0.?, 1596.12.0.?	$[]$
159201.k1	159201i2	159201.k	159201i	$2$	$2$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$3^{8} \cdot 7^{9} \cdot 19^{8}$	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$8.261610144$	$1$		$14$	$10321920$	$2.852196$	$7880599/3249$	$0.86684$	$4.81314$	$[1, -1, 1, -4620146, -2048653470]$	$y^2+xy+y=x^3-x^2-4620146x-2048653470$	2.3.0.a.1, 28.6.0.a.1, 228.6.0.?, 1596.12.0.?	$[(-736, 31233), (19841, 2767974)]$
159201.k2	159201i1	159201.k	159201i	$2$	$2$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{7} \cdot 7^{9} \cdot 19^{7}$	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$8.261610144$	$1$		$11$	$5160960$	$2.505623$	$68921/57$	$0.78914$	$4.41748$	$[1, -1, 1, 951889, -234398874]$	$y^2+xy+y=x^3-x^2+951889x-234398874$	2.3.0.a.1, 28.6.0.b.1, 228.6.0.?, 798.6.0.?, 1596.12.0.?	$[(290, 7977), (576, 22178)]$
159201.l1	159201p1	159201.l	159201p	$2$	$2$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$3^{3} \cdot 7^{8} \cdot 19^{7}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$3.957760703$	$1$		$3$	$2211840$	$2.199791$	$766060875/931$	$0.86309$	$4.43271$	$[1, -1, 1, -1011590, -390946524]$	$y^2+xy+y=x^3-x^2-1011590x-390946524$	2.3.0.a.1, 12.6.0.c.1, 76.6.0.?, 114.6.0.?, 228.12.0.?	$[(37872, 7348532)]$
159201.l2	159201p2	159201.l	159201p	$2$	$2$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{3} \cdot 7^{10} \cdot 19^{8}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$7.915521406$	$1$		$0$	$4423680$	$2.546364$	$-307546875/866761$	$1.04147$	$4.50428$	$[1, -1, 1, -746255, -600985710]$	$y^2+xy+y=x^3-x^2-746255x-600985710$	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[(59525/7, 5572545/7)]$
159201.m1	159201j2	159201.m	159201j	$2$	$7$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{13} \cdot 7^{6} \cdot 19^{8}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.8.0.1	7B	$798$	$96$	$2$	$26.52794699$	$1$		$0$	$14478912$	$3.235733$	$-89289015625/2187$	$1.08884$	$5.59678$	$[1, -1, 1, -105553580, -417387364054]$	$y^2+xy+y=x^3-x^2-105553580x-417387364054$	6.2.0.a.1, 7.8.0.a.1, 14.16.0-7.a.1.2, 21.16.0-7.a.1.2, 42.32.0-42.a.1.3, $\ldots$	$[(33799322067342/53021, 32890975393459683167/53021)]$
159201.m2	159201j1	159201.m	159201j	$2$	$7$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{7} \cdot 7^{6} \cdot 19^{8}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.8.0.1	7B	$798$	$96$	$2$	$3.789706713$	$1$		$2$	$2068416$	$2.262779$	$2375/3$	$0.82914$	$4.15458$	$[1, -1, 1, 315085, 73955774]$	$y^2+xy+y=x^3-x^2+315085x+73955774$	6.2.0.a.1, 7.8.0.a.1, 14.16.0-7.a.1.1, 21.16.0-7.a.1.1, 42.32.0-42.a.1.1, $\ldots$	$[(6408, 511762)]$
159201.n1	159201k2	159201.n	159201k	$2$	$2$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$3^{12} \cdot 7^{7} \cdot 19^{8}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$0$	$6635520$	$2.920849$	$12246522625/1842183$	$0.89725$	$4.93928$	$[1, -1, 1, -7644965, -6997257354]$	$y^2+xy+y=x^3-x^2-7644965x-6997257354$	2.3.0.a.1, 28.6.0.a.1, 228.6.0.?, 1596.12.0.?	$[]$
159201.n2	159201k1	159201.n	159201k	$2$	$2$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$3^{9} \cdot 7^{8} \cdot 19^{7}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$3317760$	$2.574276$	$244140625/25137$	$1.08196$	$4.61240$	$[1, -1, 1, -2072930, 1042074744]$	$y^2+xy+y=x^3-x^2-2072930x+1042074744$	2.3.0.a.1, 28.6.0.b.1, 114.6.0.?, 1596.12.0.?	$[]$
159201.o1	159201q2	159201.o	159201q	$2$	$2$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$3^{3} \cdot 7^{8} \cdot 19^{3}$	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$2.575204957$	$1$		$12$	$245760$	$1.174801$	$15438249/49$	$0.87469$	$3.36928$	$[1, -1, 1, -14489, 673040]$	$y^2+xy+y=x^3-x^2-14489x+673040$	2.3.0.a.1, 28.6.0.d.1, 114.6.0.?, 1596.12.0.?	$[(30, 499), (373, 6673)]$
159201.o2	159201q1	159201.o	159201q	$2$	$2$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{3} \cdot 7^{7} \cdot 19^{3}$	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$2.575204957$	$1$		$9$	$122880$	$0.828227$	$-729/7$	$0.74333$	$2.77709$	$[1, -1, 1, -524, 19478]$	$y^2+xy+y=x^3-x^2-524x+19478$	2.3.0.a.1, 28.6.0.d.1, 228.6.0.?, 798.6.0.?, 1596.12.0.?	$[(-26, 135), (24, 130)]$
159201.p1	159201l2	159201.p	159201l	$2$	$2$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$3^{8} \cdot 7^{3} \cdot 19^{8}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$0$	$1474560$	$1.879240$	$7880599/3249$	$0.86684$	$3.83839$	$[1, -1, 1, -94289, 5999690]$	$y^2+xy+y=x^3-x^2-94289x+5999690$	2.3.0.a.1, 28.6.0.a.1, 228.6.0.?, 1596.12.0.?	$[]$
159201.p2	159201l1	159201.p	159201l	$2$	$2$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{7} \cdot 7^{3} \cdot 19^{7}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$4$	$2$	$1$	$737280$	$1.532667$	$68921/57$	$0.78914$	$3.44273$	$[1, -1, 1, 19426, 677828]$	$y^2+xy+y=x^3-x^2+19426x+677828$	2.3.0.a.1, 28.6.0.b.1, 228.6.0.?, 798.6.0.?, 1596.12.0.?	$[]$
159201.q1	159201r1	159201.q	159201r	$1$	$1$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{9} \cdot 7^{7} \cdot 19^{8}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$84$	$2$	$0$	$1$	$1$		$0$	$5515776$	$2.626900$	$-13851/7$	$0.67892$	$4.61535$	$[1, -1, 1, -1701461, 1169612434]$	$y^2+xy+y=x^3-x^2-1701461x+1169612434$	84.2.0.?	$[]$
159201.r1	159201m2	159201.r	159201m	$2$	$2$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$3^{8} \cdot 7^{7} \cdot 19^{12}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$9$	$3$	$0$	$46448640$	$3.520523$	$11192824869409/2963890503$	$0.95644$	$5.50847$	$[1, -1, 1, -74190983, -181133398456]$	$y^2+xy+y=x^3-x^2-74190983x-181133398456$	2.3.0.a.1, 28.6.0.a.1, 228.6.0.?, 1596.12.0.?	$[]$
159201.r2	159201m1	159201.r	159201m	$2$	$2$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$3^{7} \cdot 7^{8} \cdot 19^{9}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$9$	$3$	$1$	$23224320$	$3.173946$	$8855610342769/1008273$	$0.94565$	$5.48892$	$[1, -1, 1, -68618948, -218744634706]$	$y^2+xy+y=x^3-x^2-68618948x-218744634706$	2.3.0.a.1, 28.6.0.b.1, 114.6.0.?, 1596.12.0.?	$[]$
159201.s1	159201s1	159201.s	159201s	$1$	$1$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{10} \cdot 7^{8} \cdot 19^{7}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$8.872638764$	$1$		$0$	$4838400$	$2.628143$	$-1835008/1539$	$0.91010$	$4.60380$	$[0, 0, 1, -1485876, -1091035409]$	$y^2+y=x^3-1485876x-1091035409$	38.2.0.a.1	$[(220039/9, 89042993/9)]$
159201.t1	159201t2	159201.t	159201t	$2$	$19$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{6} \cdot 7^{6} \cdot 19^{9}$	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$26.73760462$	$1$		$0$	$4012800$	$2.644333$	$-884736$	$1.31757$	$4.88082$	$[0, 0, 1, -6049638, -5732788210]$	$y^2+y=x^3-6049638x-5732788210$		$[(90880387533294/87209, 846333021155455519817/87209)]$
159201.t2	159201t1	159201.t	159201t	$2$	$19$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{6} \cdot 7^{6} \cdot 19^{3}$	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$1.407242348$	$1$		$2$	$211200$	$1.172113$	$-884736$	$1.31757$	$3.40589$	$[0, 0, 1, -16758, 835805]$	$y^2+y=x^3-16758x+835805$		$[(57, 256)]$
159201.u1	159201w2	159201.u	159201w	$2$	$3$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{9} \cdot 7^{10} \cdot 19^{6}$	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$7$	7.84.1.1	7Ns.6.1.2				$23.60746286$	$1$		$0$	$3184272$	$2.596653$	$0$		$4.54736$	$[0, 0, 1, 0, -778134688]$	$y^2+y=x^3-778134688$		$[(81692379966/4337, 23238022591647896/4337)]$
159201.u2	159201w1	159201.u	159201w	$2$	$3$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{3} \cdot 7^{10} \cdot 19^{6}$	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$7$	7.84.1.1	7Ns.6.1.2				$7.869154286$	$1$		$2$	$1061424$	$2.047348$	$0$		$3.99704$	$[0, 0, 1, 0, 28819803]$	$y^2+y=x^3+28819803$		$[(4337, 285667)]$
159201.v1	159201bb1	159201.v	159201bb	$2$	$3$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{3} \cdot 7^{4} \cdot 19^{2}$	$2$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$1.774171858$	$1$		$8$	$23328$	$0.092912$	$0$		$2.03901$	$[0, 0, 1, 0, -233]$	$y^2+y=x^3-233$		$[(7, 10), (77, 675)]$
159201.v2	159201bb2	159201.v	159201bb	$2$	$3$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{9} \cdot 7^{4} \cdot 19^{2}$	$2$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$1.774171858$	$1$		$6$	$69984$	$0.642219$	$0$		$2.58933$	$[0, 0, 1, 0, 6284]$	$y^2+y=x^3+6284$		$[(42, 283), (-12, 67)]$
159201.w1	159201x1	159201.w	159201x	$2$	$3$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{3} \cdot 7^{10} \cdot 19^{8}$	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$1$	$4$	$2$	$0$	$3102624$	$2.538086$	$0$		$4.48869$	$[0, 0, 1, 0, -547576262]$	$y^2+y=x^3-547576262$		$[]$
159201.w2	159201x2	159201.w	159201x	$2$	$3$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{9} \cdot 7^{10} \cdot 19^{8}$	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$1$	$4$	$2$	$0$	$9307872$	$3.087395$	$0$		$5.03901$	$[0, 0, 1, 0, 14784559067]$	$y^2+y=x^3+14784559067$		$[]$
159201.x1	159201y1	159201.x	159201y	$2$	$3$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{3} \cdot 7^{10} \cdot 19^{4}$	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$353808$	$1.556606$	$0$		$3.50540$	$[0, 0, 1, 0, -1516832]$	$y^2+y=x^3-1516832$		$[]$
159201.x2	159201y2	159201.x	159201y	$2$	$3$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{9} \cdot 7^{10} \cdot 19^{4}$	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$1061424$	$2.105915$	$0$		$4.05572$	$[0, 0, 1, 0, 40954457]$	$y^2+y=x^3+40954457$		$[]$
159201.y1	159201bc1	159201.y	159201bc	$2$	$3$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{3} \cdot 7^{4} \cdot 19^{10}$	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$960336$	$2.055870$	$0$		$4.00558$	$[0, 0, 1, 0, -30332213]$	$y^2+y=x^3-30332213$		$[]$
159201.y2	159201bc2	159201.y	159201bc	$2$	$3$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{9} \cdot 7^{4} \cdot 19^{10}$	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$1$	$1$		$0$	$2881008$	$2.605179$	$0$		$4.55590$	$[0, 0, 1, 0, 818969744]$	$y^2+y=x^3+818969744$		$[]$
159201.z1	159201bd2	159201.z	159201bd	$2$	$3$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{9} \cdot 7^{4} \cdot 19^{4}$	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$3$	27.648.18.4	3B.1.2				$0.917029831$	$1$		$4$	$151632$	$1.132957$	$0$		$3.08097$	$[0, 0, 1, 0, -119401]$	$y^2+y=x^3-119401$		$[(57, 256)]$
159201.z2	159201bd1	159201.z	159201bd	$2$	$3$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{3} \cdot 7^{4} \cdot 19^{4}$	$1$	$\Z/3\Z$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$3$	27.648.18.1	3B.1.1				$2.751089495$	$1$		$4$	$50544$	$0.583652$	$0$		$2.53065$	$[0, 0, 1, 0, 4422]$	$y^2+y=x^3+4422$		$[(-10, 58)]$
159201.ba1	159201z2	159201.ba	159201z	$2$	$3$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{9} \cdot 7^{10} \cdot 19^{10}$	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$103.6818065$	$1$		$0$	$20167056$	$3.578133$	$0$		$5.53065$	$[0, 0, 1, 0, -280906622278]$	$y^2+y=x^3-280906622278$		$[(4174748501860549789473312253733282626798365834/552738274303780698665, 254457864250069894079994806422016452299819971444667138681936421505177/552738274303780698665)]$
159201.ba2	159201z1	159201.ba	159201z	$2$	$3$	$3^{2} \cdot 7^{2} \cdot 19^{2}$	$- 3^{3} \cdot 7^{10} \cdot 19^{10}$	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓							$34.56060219$	$1$		$0$	$6722352$	$3.028828$	$0$		$4.98033$	$[0, 0, 1, 0, 10403948973]$	$y^2+y=x^3+10403948973$		$[(-795633136327531/694715, 25805667867986664286922/694715)]$

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