Elliptic curves over Q\Q of conductor 1638

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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
1638.a1	1638f1	1638.a	1638f	$1$	$1$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$- 2^{17} \cdot 3^{13} \cdot 7 \cdot 13^{5}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$38080$	$2.238586$	$-112205650221491190337/745029571313664$	$1.03121$	$7.12989$	$[1, -1, 0, -904356, 333142096]$	$y^2+xy=x^3-x^2-904356x+333142096$	2184.2.0.?	$[]$
1638.b1	1638d1	1638.b	1638d	$2$	$3$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$- 2 \cdot 3^{3} \cdot 7 \cdot 13^{3}$	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$2184$	$16$	$0$	$1.084139296$	$1$		$6$	$288$	$-0.165664$	$-38958219/30758$	$0.86191$	$2.92307$	$[1, -1, 0, -21, 63]$	$y^2+xy=x^3-x^2-21x+63$	3.8.0-3.a.1.2, 2184.16.0.?	$[(3, 3)]$
1638.b2	1638d2	1638.b	1638d	$2$	$3$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$- 2^{3} \cdot 3^{9} \cdot 7^{3} \cdot 13$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$2184$	$16$	$0$	$0.361379765$	$1$		$6$	$864$	$0.383642$	$29503629/35672$	$0.86975$	$3.67142$	$[1, -1, 0, 174, -964]$	$y^2+xy=x^3-x^2+174x-964$	3.8.0-3.a.1.1, 2184.16.0.?	$[(19, 85)]$
1638.c1	1638e3	1638.c	1638e	$4$	$4$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$2^{5} \cdot 3^{6} \cdot 7^{3} \cdot 13^{8}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.9	2B	$168$	$48$	$0$	$1$	$4$	$2$	$0$	$23040$	$1.999313$	$22868021811807457713/8953460393696$	$1.08758$	$6.91344$	$[1, -1, 0, -532203, -149255515]$	$y^2+xy=x^3-x^2-532203x-149255515$	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, $\ldots$	$[]$
1638.c2	1638e4	1638.c	1638e	$4$	$4$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$2^{5} \cdot 3^{6} \cdot 7^{12} \cdot 13^{2}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.15	2B	$168$	$48$	$0$	$1$	$1$		$0$	$23040$	$1.999313$	$3389174547561866673/74853681183008$	$1.05145$	$6.65549$	$[1, -1, 0, -281643, 56492261]$	$y^2+xy=x^3-x^2-281643x+56492261$	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, $\ldots$	$[]$
1638.c3	1638e2	1638.c	1638e	$4$	$4$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$2^{10} \cdot 3^{6} \cdot 7^{6} \cdot 13^{4}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.3	2Cs	$168$	$48$	$0$	$1$	$1$		$2$	$11520$	$1.652739$	$8511781274893233/3440817243136$	$1.08472$	$5.84658$	$[1, -1, 0, -38283, -1573435]$	$y^2+xy=x^3-x^2-38283x-1573435$	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, $\ldots$	$[]$
1638.c4	1638e1	1638.c	1638e	$4$	$4$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$- 2^{20} \cdot 3^{6} \cdot 7^{3} \cdot 13^{2}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.9	2B	$168$	$48$	$0$	$1$	$1$		$1$	$5760$	$1.306166$	$71903073502287/60782804992$	$1.03131$	$5.20157$	$[1, -1, 0, 7797, -181819]$	$y^2+xy=x^3-x^2+7797x-181819$	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, $\ldots$	$[]$
1638.d1	1638i3	1638.d	1638i	$4$	$4$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$2 \cdot 3^{7} \cdot 7^{4} \cdot 13$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2184$	$48$	$0$	$1.657050101$	$1$		$6$	$1536$	$0.673279$	$8020417344913/187278$	$0.95653$	$4.90522$	$[1, -1, 0, -3753, -87561]$	$y^2+xy=x^3-x^2-3753x-87561$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 52.12.0-4.c.1.1, 56.12.0.bb.1, $\ldots$	$[(-35, 18)]$
1638.d2	1638i2	1638.d	1638i	$4$	$4$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$2^{2} \cdot 3^{8} \cdot 7^{2} \cdot 13^{2}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$2184$	$48$	$0$	$0.828525050$	$1$		$14$	$768$	$0.326705$	$2181825073/298116$	$0.95664$	$3.79600$	$[1, -1, 0, -243, -1215]$	$y^2+xy=x^3-x^2-243x-1215$	2.6.0.a.1, 24.12.0-2.a.1.1, 52.12.0-2.a.1.1, 56.12.0.a.1, 84.12.0.?, $\ldots$	$[(-9, 18)]$
1638.d3	1638i1	1638.d	1638i	$4$	$4$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$2^{4} \cdot 3^{7} \cdot 7 \cdot 13$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2184$	$48$	$0$	$0.414262525$	$1$		$9$	$384$	$-0.019868$	$38272753/4368$	$0.84174$	$3.24972$	$[1, -1, 0, -63, 189]$	$y^2+xy=x^3-x^2-63x+189$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 52.12.0-4.c.1.2, 56.12.0.bb.1, $\ldots$	$[(3, 3)]$
1638.d4	1638i4	1638.d	1638i	$4$	$4$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$- 2 \cdot 3^{10} \cdot 7 \cdot 13^{4}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2184$	$48$	$0$	$1.657050101$	$1$		$4$	$1536$	$0.673279$	$8780064047/32388174$	$1.00545$	$4.21133$	$[1, -1, 0, 387, -6885]$	$y^2+xy=x^3-x^2+387x-6885$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 56.12.0.v.1, 84.12.0.?, $\ldots$	$[(33, 186)]$
1638.e1	1638c3	1638.e	1638c	$4$	$6$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$2^{12} \cdot 3^{9} \cdot 7^{3} \cdot 13$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$1092$	$96$	$1$	$0.978488052$	$1$		$7$	$1728$	$0.912594$	$40530337875/18264064$	$0.95791$	$4.63610$	$[1, -1, 0, -1932, -14896]$	$y^2+xy=x^3-x^2-1932x-14896$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 12.48.0-12.j.1.6, 364.6.0.?, $\ldots$	$[(56, 196)]$
1638.e2	1638c1	1638.e	1638c	$4$	$6$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$2^{4} \cdot 3^{3} \cdot 7 \cdot 13^{3}$	$1$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$1092$	$96$	$1$	$2.935464157$	$1$		$9$	$576$	$0.363287$	$3592121380875/246064$	$0.96478$	$4.35138$	$[1, -1, 0, -957, 11637]$	$y^2+xy=x^3-x^2-957x+11637$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 12.48.0-12.j.1.8, 364.6.0.?, $\ldots$	$[(-9, 144)]$
1638.e3	1638c2	1638.e	1638c	$4$	$6$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$- 2^{2} \cdot 3^{3} \cdot 7^{2} \cdot 13^{6}$	$1$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$1092$	$96$	$1$	$1.467732078$	$1$		$12$	$1152$	$0.709861$	$-2958077788875/946054564$	$0.97191$	$4.38459$	$[1, -1, 0, -897, 13113]$	$y^2+xy=x^3-x^2-897x+13113$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.b.1.2, 364.6.0.?, 1092.96.1.?	$[(12, 57)]$
1638.e4	1638c4	1638.e	1638c	$4$	$6$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$- 2^{6} \cdot 3^{9} \cdot 7^{6} \cdot 13^{2}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$1092$	$96$	$1$	$0.489244026$	$1$		$8$	$3456$	$1.259167$	$1695802078125/1272491584$	$1.05976$	$5.14059$	$[1, -1, 0, 6708, -116848]$	$y^2+xy=x^3-x^2+6708x-116848$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.b.1.1, 364.6.0.?, 1092.96.1.?	$[(64, 724)]$
1638.f1	1638j3	1638.f	1638j	$3$	$9$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$- 2 \cdot 3^{6} \cdot 7 \cdot 13$	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	9.24.0.1	3B.1.1	$6552$	$144$	$3$	$1$	$9$	$3$	$2$	$3240$	$1.229763$	$-424962187484640625/182$	$1.05379$	$6.37495$	$[1, -1, 0, -140967, 20406843]$	$y^2+xy=x^3-x^2-140967x+20406843$	3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 728.2.0.?, 819.72.0.?, 2184.16.0.?, $\ldots$	$[]$
1638.f2	1638j2	1638.f	1638j	$3$	$9$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$- 2^{3} \cdot 3^{6} \cdot 7^{3} \cdot 13^{3}$	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.24.0.1	3Cs.1.1	$6552$	$144$	$3$	$1$	$1$		$2$	$1080$	$0.680457$	$-795309684625/6028568$	$0.94067$	$4.59473$	$[1, -1, 0, -1737, 28485]$	$y^2+xy=x^3-x^2-1737x+28485$	3.24.0-3.a.1.1, 728.2.0.?, 819.72.0.?, 2184.48.1.?, 6552.144.3.?	$[]$
1638.f3	1638j1	1638.f	1638j	$3$	$9$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$- 2^{9} \cdot 3^{6} \cdot 7 \cdot 13$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.24.0.3	3B.1.2	$6552$	$144$	$3$	$1$	$1$		$0$	$360$	$0.131151$	$37595375/46592$	$0.87083$	$3.26519$	$[1, -1, 0, 63, 189]$	$y^2+xy=x^3-x^2+63x+189$	3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 728.2.0.?, 819.72.0.?, 2184.16.0.?, $\ldots$	$[]$
1638.g1	1638a1	1638.g	1638a	$1$	$1$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$- 2^{17} \cdot 3^{9} \cdot 7 \cdot 13$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$1632$	$0.863975$	$2284322013/11927552$	$0.95325$	$4.52886$	$[1, -1, 0, 741, 21797]$	$y^2+xy=x^3-x^2+741x+21797$	2184.2.0.?	$[]$
1638.h1	1638h2	1638.h	1638h	$2$	$7$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$- 2 \cdot 3^{7} \cdot 7 \cdot 13^{7}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$2184$	$96$	$2$	$1.602623211$	$1$		$2$	$65856$	$2.595856$	$-5486773802537974663600129/2635437714$	$1.05935$	$8.58723$	$[1, -1, 0, -33070464, 73207840986]$	$y^2+xy=x^3-x^2-33070464x+73207840986$	7.24.0.a.2, 21.48.0-7.a.2.2, 728.48.0.?, 2184.96.2.?	$[(3321, -1602)]$
1638.h2	1638h1	1638.h	1638h	$2$	$7$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$- 2^{7} \cdot 3^{13} \cdot 7^{7} \cdot 13$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$2184$	$96$	$2$	$0.228946173$	$1$		$6$	$9408$	$1.622898$	$40251338884511/2997011332224$	$1.03878$	$5.77839$	$[1, -1, 0, 6426, 2238516]$	$y^2+xy=x^3-x^2+6426x+2238516$	7.24.0.a.1, 21.48.0-7.a.1.2, 728.48.0.?, 2184.96.2.?	$[(315, 5796)]$
1638.i1	1638b1	1638.i	1638b	$1$	$1$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$- 2^{11} \cdot 3^{9} \cdot 7^{5} \cdot 13$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$5280$	$1.369747$	$-215773279370739/447469568$	$1.11419$	$5.79584$	$[1, -1, 0, -33738, -2381068]$	$y^2+xy=x^3-x^2-33738x-2381068$	2184.2.0.?	$[]$
1638.j1	1638g1	1638.j	1638g	$1$	$1$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$- 2 \cdot 3^{6} \cdot 7^{3} \cdot 13$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$728$	$2$	$0$	$1$	$1$		$0$	$504$	$-0.008551$	$4019679/8918$	$1.11550$	$3.08597$	$[1, -1, 0, 30, 98]$	$y^2+xy=x^3-x^2+30x+98$	728.2.0.?	$[]$
1638.k1	1638r1	1638.k	1638r	$1$	$1$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$- 2^{11} \cdot 3^{6} \cdot 7^{7} \cdot 13$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$728$	$2$	$0$	$1$	$1$		$0$	$9240$	$1.420473$	$-10824513276632329/21926008832$	$0.99602$	$5.87953$	$[1, -1, 1, -41477, -3246595]$	$y^2+xy+y=x^3-x^2-41477x-3246595$	728.2.0.?	$[]$
1638.l1	1638t3	1638.l	1638t	$3$	$9$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$- 2^{27} \cdot 3^{7} \cdot 7 \cdot 13$	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	9.24.0.1	3B.1.1	$6552$	$144$	$3$	$0.485500763$	$1$		$12$	$15552$	$1.700766$	$-1956469094246217097/36641439744$	$1.01732$	$6.58125$	$[1, -1, 1, -234509, 43769909]$	$y^2+xy+y=x^3-x^2-234509x+43769909$	3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 819.72.0.?, 2184.16.0.?, 6552.144.3.?	$[(207, 1912)]$
1638.l2	1638t2	1638.l	1638t	$3$	$9$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$- 2^{9} \cdot 3^{9} \cdot 7^{3} \cdot 13^{3}$	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.24.0.1	3Cs.1.1	$6552$	$144$	$3$	$0.161833587$	$1$		$22$	$5184$	$1.151459$	$-198461344537/10417365504$	$1.00967$	$5.01594$	$[1, -1, 1, -1094, 133589]$	$y^2+xy+y=x^3-x^2-1094x+133589$	3.24.0-3.a.1.1, 819.72.0.?, 2184.48.1.?, 6552.144.3.?	$[(27, 337)]$
1638.l3	1638t1	1638.l	1638t	$3$	$9$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$- 2^{3} \cdot 3^{15} \cdot 7 \cdot 13$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.24.0.3	3B.1.2	$6552$	$144$	$3$	$0.485500763$	$1$		$4$	$1728$	$0.602153$	$270840023/14329224$	$0.96753$	$4.12272$	$[1, -1, 1, 121, -4921]$	$y^2+xy+y=x^3-x^2+121x-4921$	3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 819.72.0.?, 2184.16.0.?, 6552.144.3.?	$[(81, 688)]$
1638.m1	1638l1	1638.m	1638l	$1$	$1$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$- 2^{11} \cdot 3^{3} \cdot 7^{5} \cdot 13$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$0.025647841$	$1$		$18$	$1760$	$0.820441$	$-215773279370739/447469568$	$1.11419$	$4.90522$	$[1, -1, 1, -3749, 89437]$	$y^2+xy+y=x^3-x^2-3749x+89437$	2184.2.0.?	$[(49, 122)]$
1638.n1	1638k1	1638.n	1638k	$1$	$1$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$- 2^{17} \cdot 3^{3} \cdot 7 \cdot 13$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$0.127128028$	$1$		$10$	$544$	$0.314668$	$2284322013/11927552$	$0.95325$	$3.63824$	$[1, -1, 1, 82, -835]$	$y^2+xy+y=x^3-x^2+82x-835$	2184.2.0.?	$[(9, 19)]$
1638.o1	1638o1	1638.o	1638o	$1$	$1$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$- 2^{5} \cdot 3^{7} \cdot 7 \cdot 13$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$0.081690690$	$1$		$10$	$320$	$0.030051$	$-47045881/8736$	$0.98493$	$3.31521$	$[1, -1, 1, -68, 263]$	$y^2+xy+y=x^3-x^2-68x+263$	2184.2.0.?	$[(9, 13)]$
1638.p1	1638m3	1638.p	1638m	$4$	$6$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$2^{4} \cdot 3^{9} \cdot 7 \cdot 13^{3}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$1092$	$96$	$1$	$1$	$1$		$1$	$1728$	$0.912594$	$3592121380875/246064$	$0.96478$	$5.24200$	$[1, -1, 1, -8615, -305585]$	$y^2+xy+y=x^3-x^2-8615x-305585$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 12.48.0-12.j.1.6, 364.6.0.?, $\ldots$	$[]$
1638.p2	1638m4	1638.p	1638m	$4$	$6$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$- 2^{2} \cdot 3^{9} \cdot 7^{2} \cdot 13^{6}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$1092$	$96$	$1$	$1$	$1$		$0$	$3456$	$1.259167$	$-2958077788875/946054564$	$0.97191$	$5.27521$	$[1, -1, 1, -8075, -345977]$	$y^2+xy+y=x^3-x^2-8075x-345977$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.b.1.1, 364.6.0.?, 1092.96.1.?	$[]$
1638.p3	1638m1	1638.p	1638m	$4$	$6$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$2^{12} \cdot 3^{3} \cdot 7^{3} \cdot 13$	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$1092$	$96$	$1$	$1$	$1$		$5$	$576$	$0.363287$	$40530337875/18264064$	$0.95791$	$3.74548$	$[1, -1, 1, -215, 623]$	$y^2+xy+y=x^3-x^2-215x+623$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 12.48.0-12.j.1.8, 364.6.0.?, $\ldots$	$[]$
1638.p4	1638m2	1638.p	1638m	$4$	$6$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$- 2^{6} \cdot 3^{3} \cdot 7^{6} \cdot 13^{2}$	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$1092$	$96$	$1$	$1$	$1$		$4$	$1152$	$0.709861$	$1695802078125/1272491584$	$1.05976$	$4.24997$	$[1, -1, 1, 745, 4079]$	$y^2+xy+y=x^3-x^2+745x+4079$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.b.1.2, 364.6.0.?, 1092.96.1.?	$[]$
1638.q1	1638s1	1638.q	1638s	$1$	$1$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$- 2^{7} \cdot 3^{6} \cdot 7 \cdot 13^{5}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$728$	$2$	$0$	$1$	$1$		$0$	$1960$	$0.863742$	$-1207949625/332678528$	$1.06089$	$4.54940$	$[1, -1, 1, -200, -23669]$	$y^2+xy+y=x^3-x^2-200x-23669$	728.2.0.?	$[]$
1638.r1	1638p1	1638.r	1638p	$1$	$1$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$- 2 \cdot 3^{11} \cdot 7^{3} \cdot 13$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$960$	$0.567485$	$-141339344329/2167074$	$0.92745$	$4.36309$	$[1, -1, 1, -977, 12147]$	$y^2+xy+y=x^3-x^2-977x+12147$	2184.2.0.?	$[]$
1638.s1	1638q3	1638.s	1638q	$4$	$4$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$2^{2} \cdot 3^{18} \cdot 7 \cdot 13$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$2184$	$48$	$0$	$1$	$4$	$2$	$0$	$3072$	$1.129950$	$828279937799497/193444524$	$0.98347$	$5.53179$	$[1, -1, 1, -17609, -894787]$	$y^2+xy+y=x^3-x^2-17609x-894787$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.z.1.4, $\ldots$	$[]$
1638.s2	1638q2	1638.s	1638q	$4$	$4$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$2^{4} \cdot 3^{12} \cdot 7^{2} \cdot 13^{2}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1092$	$48$	$0$	$1$	$1$		$2$	$1536$	$0.783376$	$281397674377/96589584$	$0.94755$	$4.45260$	$[1, -1, 1, -1229, -10267]$	$y^2+xy+y=x^3-x^2-1229x-10267$	2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.2, 364.24.0.?, 1092.48.0.?	$[]$
1638.s3	1638q1	1638.s	1638q	$4$	$4$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$2^{8} \cdot 3^{9} \cdot 7 \cdot 13$	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$2184$	$48$	$0$	$1$	$1$		$3$	$768$	$0.436802$	$19968681097/628992$	$0.91084$	$4.09514$	$[1, -1, 1, -509, 4421]$	$y^2+xy+y=x^3-x^2-509x+4421$	2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.z.1.8, 546.6.0.?, 728.24.0.?, $\ldots$	$[]$
1638.s4	1638q4	1638.s	1638q	$4$	$4$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$- 2^{2} \cdot 3^{9} \cdot 7^{4} \cdot 13^{4}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$2184$	$48$	$0$	$1$	$1$		$0$	$3072$	$1.129950$	$7264187703863/7406095788$	$0.97845$	$4.89184$	$[1, -1, 1, 3631, -74419]$	$y^2+xy+y=x^3-x^2+3631x-74419$	2.3.0.a.1, 4.12.0-4.c.1.2, 6.6.0.a.1, 12.24.0-12.g.1.1, 728.24.0.?, $\ldots$	$[]$
1638.t1	1638n2	1638.t	1638n	$2$	$3$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$- 2 \cdot 3^{9} \cdot 7 \cdot 13^{3}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$2184$	$16$	$0$	$1$	$1$		$0$	$864$	$0.383642$	$-38958219/30758$	$0.86191$	$3.81369$	$[1, -1, 1, -191, -1511]$	$y^2+xy+y=x^3-x^2-191x-1511$	3.8.0-3.a.1.1, 2184.16.0.?	$[]$
1638.t2	1638n1	1638.t	1638n	$2$	$3$	$2 \cdot 3^{2} \cdot 7 \cdot 13$	$- 2^{3} \cdot 3^{3} \cdot 7^{3} \cdot 13$	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$2184$	$16$	$0$	$1$	$1$		$2$	$288$	$-0.165664$	$29503629/35672$	$0.86975$	$2.78080$	$[1, -1, 1, 19, 29]$	$y^2+xy+y=x^3-x^2+19x+29$	3.8.0-3.a.1.2, 2184.16.0.?	$[]$

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