Elliptic curves over $\Q$ of conductor 47808

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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
47808.a1	47808s1	47808.a	47808s	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{14} \cdot 3^{6} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1$	$1$		$0$	$35840$	$0.429492$	$-148176/83$	$0.66708$	$2.68019$	$[0, 0, 0, -252, -2160]$	\(y^2=x^3-252x-2160\)	166.2.0.?	$[ ]$
47808.b1	47808bs1	47808.b	47808bs	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( 2^{6} \cdot 3^{15} \cdot 83^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$996$	$12$	$0$	$5.626440375$	$1$		$1$	$437760$	$1.662897$	$31135768473180736/135596187$	$1.02460$	$4.52231$	$[0, 0, 0, -235947, -44113160]$	\(y^2=x^3-235947x-44113160\)	2.3.0.a.1, 12.6.0.a.1, 332.6.0.?, 996.12.0.?	$[(88769/2, 26441559/2)]$
47808.b2	47808bs2	47808.b	47808bs	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{12} \cdot 3^{24} \cdot 83 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$996$	$12$	$0$	$11.25288075$	$1$		$1$	$875520$	$2.009468$	$-463756716835264/32155900587$	$1.00567$	$4.52837$	$[0, 0, 0, -232212, -45577280]$	\(y^2=x^3-232212x-45577280\)	2.3.0.a.1, 12.6.0.b.1, 166.6.0.?, 996.12.0.?	$[(313568/23, 60893784/23)]$
47808.c1	47808ce1	47808.c	47808ce	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( 2^{6} \cdot 3^{15} \cdot 83^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$996$	$12$	$0$	$1$	$1$		$1$	$437760$	$1.662897$	$31135768473180736/135596187$	$1.02460$	$4.52231$	$[0, 0, 0, -235947, 44113160]$	\(y^2=x^3-235947x+44113160\)	2.3.0.a.1, 12.6.0.a.1, 332.6.0.?, 996.12.0.?	$[ ]$
47808.c2	47808ce2	47808.c	47808ce	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{12} \cdot 3^{24} \cdot 83 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$996$	$12$	$0$	$1$	$1$		$1$	$875520$	$2.009468$	$-463756716835264/32155900587$	$1.00567$	$4.52837$	$[0, 0, 0, -232212, 45577280]$	\(y^2=x^3-232212x+45577280\)	2.3.0.a.1, 12.6.0.b.1, 166.6.0.?, 996.12.0.?	$[ ]$
47808.d1	47808cf1	47808.d	47808cf	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{14} \cdot 3^{6} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1$	$1$		$0$	$35840$	$0.429492$	$-148176/83$	$0.66708$	$2.68019$	$[0, 0, 0, -252, 2160]$	\(y^2=x^3-252x+2160\)	166.2.0.?	$[ ]$
47808.e1	47808cc1	47808.e	47808cc	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{6} \cdot 3^{13} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$996$	$2$	$0$	$1$	$1$		$0$	$43008$	$0.691387$	$-7668682048/181521$	$1.02055$	$3.11380$	$[0, 0, 0, -1479, -22336]$	\(y^2=x^3-1479x-22336\)	996.2.0.?	$[ ]$
47808.f1	47808f1	47808.f	47808f	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{16} \cdot 3^{3} \cdot 83 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$996$	$2$	$0$	$0.526813102$	$1$		$16$	$14336$	$0.295674$	$-530604/83$	$0.70963$	$2.58073$	$[0, 0, 0, -204, 1264]$	\(y^2=x^3-204x+1264\)	996.2.0.?	$[(6, 16), (-10, 48)]$
47808.g1	47808cb1	47808.g	47808cb	$2$	$3$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{14} \cdot 3^{9} \cdot 83 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1992$	$16$	$0$	$0.484234408$	$1$		$18$	$36864$	$0.688141$	$-810448/2241$	$0.78107$	$2.93785$	$[0, 0, 0, -444, 8656]$	\(y^2=x^3-444x+8656\)	3.4.0.a.1, 24.8.0-3.a.1.3, 996.8.0.?, 1992.16.0.?	$[(38, 216), (14, 72)]$
47808.g2	47808cb2	47808.g	47808cb	$2$	$3$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{14} \cdot 3^{7} \cdot 83^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1992$	$16$	$0$	$0.484234408$	$1$		$16$	$110592$	$1.237446$	$539172272/1715361$	$0.88932$	$3.51787$	$[0, 0, 0, 3876, -196976]$	\(y^2=x^3+3876x-196976\)	3.4.0.a.1, 24.8.0-3.a.1.4, 996.8.0.?, 1992.16.0.?	$[(326, 5976), (1820, 77688)]$
47808.h1	47808q1	47808.h	47808q	$2$	$3$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{14} \cdot 3^{9} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1992$	$16$	$0$	$1$	$1$		$0$	$36864$	$0.688141$	$-810448/2241$	$0.78107$	$2.93785$	$[0, 0, 0, -444, -8656]$	\(y^2=x^3-444x-8656\)	3.4.0.a.1, 24.8.0-3.a.1.1, 996.8.0.?, 1992.16.0.?	$[ ]$
47808.h2	47808q2	47808.h	47808q	$2$	$3$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{14} \cdot 3^{7} \cdot 83^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1992$	$16$	$0$	$1$	$1$		$0$	$110592$	$1.237446$	$539172272/1715361$	$0.88932$	$3.51787$	$[0, 0, 0, 3876, 196976]$	\(y^2=x^3+3876x+196976\)	3.4.0.a.1, 24.8.0-3.a.1.2, 996.8.0.?, 1992.16.0.?	$[ ]$
47808.i1	47808bf1	47808.i	47808bf	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{16} \cdot 3^{3} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$996$	$2$	$0$	$1$	$1$		$0$	$14336$	$0.295674$	$-530604/83$	$0.70963$	$2.58073$	$[0, 0, 0, -204, -1264]$	\(y^2=x^3-204x-1264\)	996.2.0.?	$[ ]$
47808.j1	47808br1	47808.j	47808br	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{6} \cdot 3^{13} \cdot 83 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$996$	$2$	$0$	$1.193119007$	$1$		$2$	$43008$	$0.691387$	$-7668682048/181521$	$1.02055$	$3.11380$	$[0, 0, 0, -1479, 22336]$	\(y^2=x^3-1479x+22336\)	996.2.0.?	$[(68, 486)]$
47808.k1	47808z1	47808.k	47808z	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( 2^{16} \cdot 3^{9} \cdot 83 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$1992$	$12$	$0$	$0.834396351$	$1$		$7$	$79872$	$1.187025$	$44537533348/2241$	$0.90760$	$3.91664$	$[0, 0, 0, -26796, 1688240]$	\(y^2=x^3-26796x+1688240\)	2.3.0.a.1, 8.6.0.d.1, 498.6.0.?, 1992.12.0.?	$[(88, 108)]$
47808.k2	47808z2	47808.k	47808z	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{17} \cdot 3^{12} \cdot 83^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$1992$	$12$	$0$	$1.668792703$	$1$		$5$	$159744$	$1.533600$	$-18868113794/5022081$	$0.91411$	$3.93638$	$[0, 0, 0, -25356, 1877744]$	\(y^2=x^3-25356x+1877744\)	2.3.0.a.1, 8.6.0.a.1, 996.6.0.?, 1992.12.0.?	$[(61, 747)]$
47808.l1	47808ca1	47808.l	47808ca	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{12} \cdot 3^{6} \cdot 83^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.3.0.1	3Nn	$996$	$12$	$1$	$1.679795201$	$1$		$8$	$53760$	$1.039118$	$-392223168/571787$	$0.96507$	$3.33691$	$[0, 0, 0, -2196, 74304]$	\(y^2=x^3-2196x+74304\)	3.3.0.a.1, 12.6.0.d.1, 166.2.0.?, 498.6.1.?, 996.12.1.?	$[(-20, 332), (229, 3403)]$
47808.m1	47808o1	47808.m	47808o	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{18} \cdot 3^{6} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1$	$1$		$0$	$30720$	$0.645160$	$103823/83$	$0.77332$	$2.84166$	$[0, 0, 0, 564, 3184]$	\(y^2=x^3+564x+3184\)	166.2.0.?	$[ ]$
47808.n1	47808y1	47808.n	47808y	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{10} \cdot 3^{6} \cdot 83 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$2.253021659$	$1$		$2$	$7680$	$0.175008$	$2048/83$	$0.76681$	$2.35568$	$[0, 0, 0, 24, -376]$	\(y^2=x^3+24x-376\)	166.2.0.?	$[(14, 52)]$
47808.o1	47808by1	47808.o	47808by	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{22} \cdot 3^{6} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1$	$1$		$0$	$46080$	$0.953964$	$-30664297/1328$	$0.83983$	$3.37627$	$[0, 0, 0, -3756, 91856]$	\(y^2=x^3-3756x+91856\)	166.2.0.?	$[ ]$
47808.p1	47808be1	47808.p	47808be	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( 2^{12} \cdot 3^{9} \cdot 83 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1992$	$12$	$0$	$6.422417748$	$1$		$11$	$27648$	$0.763758$	$34012224/83$	$1.01245$	$3.29909$	$[0, 0, 0, -2916, -60480]$	\(y^2=x^3-2916x-60480\)	2.3.0.a.1, 24.6.0.c.1, 498.6.0.?, 664.6.0.?, 1992.12.0.?	$[(-32, 8), (70, 280)]$
47808.p2	47808be2	47808.p	47808be	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{15} \cdot 3^{9} \cdot 83^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1992$	$12$	$0$	$6.422417748$	$1$		$9$	$55296$	$1.110332$	$-1061208/6889$	$0.95669$	$3.40257$	$[0, 0, 0, -1836, -105840]$	\(y^2=x^3-1836x-105840\)	2.3.0.a.1, 24.6.0.b.1, 664.6.0.?, 996.6.0.?, 1992.12.0.?	$[(114, 1080), (76, 440)]$
47808.q1	47808b2	47808.q	47808b	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( 2^{18} \cdot 3^{3} \cdot 83^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$996$	$12$	$0$	$2.728552947$	$1$		$5$	$28672$	$0.770394$	$38958219/6889$	$0.84679$	$3.08591$	$[0, 0, 0, -1356, -16016]$	\(y^2=x^3-1356x-16016\)	2.3.0.a.1, 12.6.0.a.1, 332.6.0.?, 996.12.0.?	$[(-24, 52)]$
47808.q2	47808b1	47808.q	47808b	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( 2^{18} \cdot 3^{3} \cdot 83 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$996$	$12$	$0$	$1.364276473$	$1$		$5$	$14336$	$0.423821$	$970299/83$	$0.86235$	$2.74320$	$[0, 0, 0, -396, 2800]$	\(y^2=x^3-396x+2800\)	2.3.0.a.1, 12.6.0.b.1, 332.6.0.?, 498.6.0.?, 996.12.0.?	$[(8, 12)]$
47808.r1	47808bi2	47808.r	47808bi	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( 2^{18} \cdot 3^{3} \cdot 83^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$996$	$12$	$0$	$1.018268553$	$1$		$7$	$28672$	$0.770394$	$38958219/6889$	$0.84679$	$3.08591$	$[0, 0, 0, -1356, 16016]$	\(y^2=x^3-1356x+16016\)	2.3.0.a.1, 12.6.0.a.1, 332.6.0.?, 996.12.0.?	$[(34, 96)]$
47808.r2	47808bi1	47808.r	47808bi	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( 2^{18} \cdot 3^{3} \cdot 83 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$996$	$12$	$0$	$2.036537106$	$1$		$5$	$14336$	$0.423821$	$970299/83$	$0.86235$	$2.74320$	$[0, 0, 0, -396, -2800]$	\(y^2=x^3-396x-2800\)	2.3.0.a.1, 12.6.0.b.1, 332.6.0.?, 498.6.0.?, 996.12.0.?	$[(-11, 15)]$
47808.s1	47808bj1	47808.s	47808bj	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( 2^{12} \cdot 3^{9} \cdot 83 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1992$	$12$	$0$	$2.199472272$	$1$		$5$	$27648$	$0.763758$	$34012224/83$	$1.01245$	$3.29909$	$[0, 0, 0, -2916, 60480]$	\(y^2=x^3-2916x+60480\)	2.3.0.a.1, 24.6.0.c.1, 498.6.0.?, 664.6.0.?, 1992.12.0.?	$[(28, 28)]$
47808.s2	47808bj2	47808.s	47808bj	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{15} \cdot 3^{9} \cdot 83^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1992$	$12$	$0$	$4.398944545$	$1$		$3$	$55296$	$1.110332$	$-1061208/6889$	$0.95669$	$3.40257$	$[0, 0, 0, -1836, 105840]$	\(y^2=x^3-1836x+105840\)	2.3.0.a.1, 24.6.0.b.1, 664.6.0.?, 996.6.0.?, 1992.12.0.?	$[(136, 1540)]$
47808.t1	47808n1	47808.t	47808n	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{22} \cdot 3^{6} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1$	$1$		$0$	$46080$	$0.953964$	$-30664297/1328$	$0.83983$	$3.37627$	$[0, 0, 0, -3756, -91856]$	\(y^2=x^3-3756x-91856\)	166.2.0.?	$[ ]$
47808.u1	47808bo1	47808.u	47808bo	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{10} \cdot 3^{6} \cdot 83 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1.763118150$	$1$		$2$	$7680$	$0.175008$	$2048/83$	$0.76681$	$2.35568$	$[0, 0, 0, 24, 376]$	\(y^2=x^3+24x+376\)	166.2.0.?	$[(-6, 4)]$
47808.v1	47808bz1	47808.v	47808bz	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{18} \cdot 3^{6} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1$	$1$		$0$	$30720$	$0.645160$	$103823/83$	$0.77332$	$2.84166$	$[0, 0, 0, 564, -3184]$	\(y^2=x^3+564x-3184\)	166.2.0.?	$[ ]$
47808.w1	47808bp1	47808.w	47808bp	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{12} \cdot 3^{6} \cdot 83^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.3.0.1	3Nn	$996$	$12$	$1$	$8.678552978$	$1$		$2$	$53760$	$1.039118$	$-392223168/571787$	$0.96507$	$3.33691$	$[0, 0, 0, -2196, -74304]$	\(y^2=x^3-2196x-74304\)	3.3.0.a.1, 12.6.0.d.1, 166.2.0.?, 498.6.1.?, 996.12.1.?	$[(5845, 446851)]$
47808.x1	47808bq1	47808.x	47808bq	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( 2^{16} \cdot 3^{9} \cdot 83 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$1992$	$12$	$0$	$8.562550634$	$1$		$1$	$79872$	$1.187025$	$44537533348/2241$	$0.90760$	$3.91664$	$[0, 0, 0, -26796, -1688240]$	\(y^2=x^3-26796x-1688240\)	2.3.0.a.1, 8.6.0.d.1, 498.6.0.?, 1992.12.0.?	$[(27234/5, 4440352/5)]$
47808.x2	47808bq2	47808.x	47808bq	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{17} \cdot 3^{12} \cdot 83^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$1992$	$12$	$0$	$4.281275317$	$1$		$3$	$159744$	$1.533600$	$-18868113794/5022081$	$0.91411$	$3.93638$	$[0, 0, 0, -25356, -1877744]$	\(y^2=x^3-25356x-1877744\)	2.3.0.a.1, 8.6.0.a.1, 996.6.0.?, 1992.12.0.?	$[(4338, 285520)]$
47808.y1	47808k1	47808.y	47808k	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{18} \cdot 3^{7} \cdot 83 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$996$	$2$	$0$	$0.765305969$	$1$		$16$	$32768$	$0.737361$	$357911/249$	$0.80733$	$2.95652$	$[0, 0, 0, 852, -4304]$	\(y^2=x^3+852x-4304\)	996.2.0.?	$[(38, 288), (6, 32)]$
47808.z1	47808w1	47808.z	47808w	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{22} \cdot 3^{11} \cdot 83 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$996$	$2$	$0$	$2.687221279$	$1$		$2$	$122880$	$1.330702$	$-68417929/322704$	$0.90619$	$3.64951$	$[0, 0, 0, -4908, -400336]$	\(y^2=x^3-4908x-400336\)	996.2.0.?	$[(182, 2176)]$
47808.ba1	47808v1	47808.ba	47808v	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{6} \cdot 3^{7} \cdot 83 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$996$	$2$	$0$	$1.100849040$	$1$		$2$	$6144$	$0.034604$	$-64/249$	$0.88808$	$2.20167$	$[0, 0, 0, -3, -164]$	\(y^2=x^3-3x-164\)	996.2.0.?	$[(8, 18)]$
47808.bb1	47808j1	47808.bb	47808j	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{14} \cdot 3^{19} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$996$	$2$	$0$	$1$	$1$		$0$	$159744$	$1.595943$	$1893932336/132328809$	$0.97047$	$3.93904$	$[0, 0, 0, 5892, 1904816]$	\(y^2=x^3+5892x+1904816\)	996.2.0.?	$[ ]$
47808.bc1	47808d1	47808.bc	47808d	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{28} \cdot 3^{9} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$996$	$2$	$0$	$1$	$1$		$0$	$92160$	$1.489571$	$-1860867/84992$	$0.93581$	$3.82199$	$[0, 0, 0, -4428, -1013904]$	\(y^2=x^3-4428x-1013904\)	996.2.0.?	$[ ]$
47808.bd1	47808bb1	47808.bd	47808bb	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{28} \cdot 3^{9} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$996$	$2$	$0$	$1$	$1$		$0$	$92160$	$1.489571$	$-1860867/84992$	$0.93581$	$3.82199$	$[0, 0, 0, -4428, 1013904]$	\(y^2=x^3-4428x+1013904\)	996.2.0.?	$[ ]$
47808.be1	47808bu1	47808.be	47808bu	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{14} \cdot 3^{19} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$996$	$2$	$0$	$1$	$1$		$0$	$159744$	$1.595943$	$1893932336/132328809$	$0.97047$	$3.93904$	$[0, 0, 0, 5892, -1904816]$	\(y^2=x^3+5892x-1904816\)	996.2.0.?	$[ ]$
47808.bf1	47808i1	47808.bf	47808i	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{6} \cdot 3^{7} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$996$	$2$	$0$	$1$	$1$		$0$	$6144$	$0.034604$	$-64/249$	$0.88808$	$2.20167$	$[0, 0, 0, -3, 164]$	\(y^2=x^3-3x+164\)	996.2.0.?	$[ ]$
47808.bg1	47808bm1	47808.bg	47808bm	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{22} \cdot 3^{11} \cdot 83 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$996$	$2$	$0$	$1.596669821$	$1$		$2$	$122880$	$1.330702$	$-68417929/322704$	$0.90619$	$3.64951$	$[0, 0, 0, -4908, 400336]$	\(y^2=x^3-4908x+400336\)	996.2.0.?	$[(-4, 648)]$
47808.bh1	47808bv1	47808.bh	47808bv	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{18} \cdot 3^{7} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$996$	$2$	$0$	$1$	$1$		$0$	$32768$	$0.737361$	$357911/249$	$0.80733$	$2.95652$	$[0, 0, 0, 852, 4304]$	\(y^2=x^3+852x+4304\)	996.2.0.?	$[ ]$
47808.bi1	47808g1	47808.bi	47808g	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{12} \cdot 3^{6} \cdot 83 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$5.154411205$	$1$		$6$	$15360$	$0.291765$	$8000/83$	$0.70418$	$2.48035$	$[0, 0, 0, 60, -736]$	\(y^2=x^3+60x-736\)	166.2.0.?	$[(8, 16), (20, 92)]$
47808.bj1	47808bl1	47808.bj	47808bl	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{10} \cdot 3^{6} \cdot 83 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$1.745532534$	$1$		$2$	$7680$	$0.207793$	$-256000/83$	$0.71692$	$2.45207$	$[0, 0, 0, -120, 632]$	\(y^2=x^3-120x+632\)	166.2.0.?	$[(2, 20)]$
47808.bk1	47808t1	47808.bk	47808t	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{10} \cdot 3^{6} \cdot 83 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$4.488252711$	$1$		$0$	$7680$	$0.207793$	$-256000/83$	$0.71692$	$2.45207$	$[0, 0, 0, -120, -632]$	\(y^2=x^3-120x-632\)	166.2.0.?	$[(118/3, 188/3)]$
47808.bl1	47808u1	47808.bl	47808u	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{12} \cdot 3^{6} \cdot 83 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$2.647323339$	$1$		$2$	$15360$	$0.291765$	$8000/83$	$0.70418$	$2.48035$	$[0, 0, 0, 60, 736]$	\(y^2=x^3+60x+736\)	166.2.0.?	$[(-3, 23)]$
47808.bm1	47808a1	47808.bm	47808a	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{28} \cdot 3^{3} \cdot 83 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$996$	$2$	$0$	$1.001417918$	$1$		$4$	$30720$	$0.940265$	$-1860867/84992$	$0.93581$	$3.21023$	$[0, 0, 0, -492, 37552]$	\(y^2=x^3-492x+37552\)	996.2.0.?	$[(102, 1024)]$
47808.bn1	47808h1	47808.bn	47808h	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 83 \)	\( - 2^{18} \cdot 3^{9} \cdot 83 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$996$	$2$	$0$	$1$	$1$		$0$	$98304$	$1.255968$	$-18420660721/2241$	$0.91234$	$3.96339$	$[0, 0, 0, -31692, -2171792]$	\(y^2=x^3-31692x-2171792\)	996.2.0.?	$[ ]$

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