Elliptic curves over $\Q$ of conductor 465690

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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
465690.a1	465690a1	465690.a	465690a	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( 2^{8} \cdot 3^{5} \cdot 5^{2} \cdot 19^{6} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$1$	$4561920$	$1.714514$	$770842973809/66873600$	$0.91571$	$3.45080$	$[1, 1, 0, -68958, -6455052]$	\(y^2+xy=x^3+x^2-68958x-6455052\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[ ]$
465690.a2	465690a2	465690.a	465690a	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( - 2^{4} \cdot 3^{10} \cdot 5 \cdot 19^{6} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$0$	$9123840$	$2.061089$	$1009328859791/8734528080$	$0.96292$	$3.67341$	$[1, 1, 0, 75442, -29761212]$	\(y^2+xy=x^3+x^2+75442x-29761212\)	2.3.0.a.1, 20.6.0.a.1, 516.6.0.?, 2580.12.0.?	$[ ]$
465690.b1	465690b3	465690.b	465690b	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( 2^{11} \cdot 3^{2} \cdot 5^{8} \cdot 19^{9} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$6536$	$48$	$0$	$1$	$25$	$5$	$0$	$11094589440$	$5.601929$	$2695411376533589106170675619466398289/2123546400000000$	$1.08691$	$7.78094$	$[1, 1, 0, -10466648756828, 13033451602201390032]$	\(y^2+xy=x^3+x^2-10466648756828x+13033451602201390032\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 152.24.0.?, 172.12.0.?, $\ldots$	$[ ]$
465690.b2	465690b2	465690.b	465690b	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( 2^{22} \cdot 3^{4} \cdot 5^{4} \cdot 19^{12} \cdot 43^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.4	2Cs	$6536$	$48$	$0$	$1$	$25$	$5$	$2$	$5547294720$	$5.255356$	$658059431397928037221595991689809/18470704385855324160000$	$1.07575$	$7.14363$	$[1, 1, 0, -654165551708, 203647473976759248]$	\(y^2+xy=x^3+x^2-654165551708x+203647473976759248\)	2.6.0.a.1, 8.12.0.b.1, 76.12.0.?, 152.24.0.?, 172.12.0.?, $\ldots$	$[ ]$
465690.b3	465690b4	465690.b	465690b	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( - 2^{11} \cdot 3^{2} \cdot 5^{2} \cdot 19^{18} \cdot 43^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$6536$	$48$	$0$	$1$	$25$	$5$	$0$	$11094589440$	$5.601929$	$-655552536799502322424300617353809/3486819805571317382996428800$	$1.03409$	$7.14404$	$[1, 1, 0, -653333807708, 204191157249309648]$	\(y^2+xy=x^3+x^2-653333807708x+204191157249309648\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 76.12.0.?, 152.24.0.?, $\ldots$	$[ ]$
465690.b4	465690b1	465690.b	465690b	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( 2^{44} \cdot 3^{8} \cdot 5^{2} \cdot 19^{9} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$6536$	$48$	$0$	$1$	$25$	$5$	$1$	$2773647360$	$4.908783$	$161272686097343726562556430929/851057913027019721932800$	$1.01673$	$6.50661$	$[1, 1, 0, -40937335388, 3173481055933392]$	\(y^2+xy=x^3+x^2-40937335388x+3173481055933392\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 76.12.0.?, 152.24.0.?, $\ldots$	$[ ]$
465690.c1	465690c1	465690.c	465690c	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( 2^{18} \cdot 3^{5} \cdot 5^{8} \cdot 19^{10} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$1032$	$12$	$0$	$66.16683881$	$1$		$1$	$945561600$	$4.402618$	$2496660002148802349535638689/139440550809600000000$	$1.00650$	$6.18724$	$[1, 1, 0, -10202793553, 396644237892757]$	\(y^2+xy=x^3+x^2-10202793553x+396644237892757\)	2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.?	$[(5415685137653086827836453233202/9722775388187, 346579808002673579978126822086871808177330013/9722775388187)]$
465690.c2	465690c2	465690.c	465690c	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( - 2^{9} \cdot 3^{10} \cdot 5^{4} \cdot 19^{14} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$1032$	$12$	$0$	$33.08341940$	$1$		$0$	$1891123200$	$4.749191$	$-2096189402176608102649238689/593373633120258765120000$	$1.00920$	$6.20436$	$[1, 1, 0, -9625193553, 443534614532757]$	\(y^2+xy=x^3+x^2-9625193553x+443534614532757\)	2.3.0.a.1, 8.6.0.a.1, 516.6.0.?, 1032.12.0.?	$[(-77452824380625389/956751, 22402646160178020646099082/956751)]$
465690.d1	465690d3	465690.d	465690d	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( 2^{2} \cdot 3 \cdot 5^{16} \cdot 19^{7} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19608$	$48$	$0$	$1$	$1$		$0$	$58982400$	$3.135960$	$24400330024019218849/1495971679687500$	$1.05267$	$4.77407$	$[1, 1, 0, -21813793, 37069872697]$	\(y^2+xy=x^3+x^2-21813793x+37069872697\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 152.12.0.?, 172.12.0.?, $\ldots$	$[ ]$
465690.d2	465690d2	465690.d	465690d	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( 2^{4} \cdot 3^{2} \cdot 5^{8} \cdot 19^{8} \cdot 43^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$9804$	$48$	$0$	$1$	$1$		$2$	$29491200$	$2.789387$	$164106655117491169/37546256250000$	$0.92425$	$4.39083$	$[1, 1, 0, -4117573, -2502414467]$	\(y^2+xy=x^3+x^2-4117573x-2502414467\)	2.6.0.a.1, 12.12.0.b.1, 76.12.0.?, 172.12.0.?, 228.24.0.?, $\ldots$	$[ ]$
465690.d3	465690d1	465690.d	465690d	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 19^{7} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19608$	$48$	$0$	$1$	$1$		$1$	$14745600$	$2.442810$	$134949649760741089/10588320000$	$0.91780$	$4.37584$	$[1, 1, 0, -3857653, -2917714643]$	\(y^2+xy=x^3+x^2-3857653x-2917714643\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 76.12.0.?, 172.12.0.?, $\ldots$	$[ ]$
465690.d4	465690d4	465690.d	465690d	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( - 2^{2} \cdot 3 \cdot 5^{4} \cdot 19^{10} \cdot 43^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19608$	$48$	$0$	$1$	$1$		$0$	$58982400$	$3.135960$	$1964918972535908831/3341561738407500$	$0.94863$	$4.63178$	$[1, 1, 0, 9419927, -15490291967]$	\(y^2+xy=x^3+x^2+9419927x-15490291967\)	2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 76.12.0.?, $\ldots$	$[ ]$
465690.e1	465690e1	465690.e	465690e	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 19^{8} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$516$	$2$	$0$	$1$	$1$		$0$	$3020544$	$1.661591$	$-689029129/116100$	$0.78614$	$3.38372$	$[1, 1, 0, -47298, -4518648]$	\(y^2+xy=x^3+x^2-47298x-4518648\)	516.2.0.?	$[ ]$
465690.f1	465690f1	465690.f	465690f	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( - 2^{6} \cdot 3^{8} \cdot 5^{2} \cdot 19^{7} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3268$	$2$	$0$	$2.743101800$	$1$		$2$	$8294400$	$2.195541$	$-821314391438449/8576539200$	$0.88707$	$3.98631$	$[1, 1, 0, -704318, -229847628]$	\(y^2+xy=x^3+x^2-704318x-229847628\)	3268.2.0.?	$[(7028, 581306)]$
465690.g1	465690g3	465690.g	465690g	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( 2^{2} \cdot 3^{3} \cdot 5^{12} \cdot 19^{6} \cdot 43^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.6.0.4, 3.4.0.1	2B, 3B	$19608$	$96$	$1$	$7.601106891$	$1$		$1$	$52254720$	$3.106426$	$4465136636671380769/2096375976562500$	$1.08124$	$4.64395$	$[1, 1, 0, -12384473, 7281986577]$	\(y^2+xy=x^3+x^2-12384473x+7281986577\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 24.24.0.bx.1, $\ldots$	$[(-2738/3, 2838667/3)]$
465690.g2	465690g1	465690.g	465690g	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( 2^{6} \cdot 3^{9} \cdot 5^{4} \cdot 19^{6} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.6.0.4, 3.4.0.1	2B, 3B	$19608$	$96$	$1$	$22.80332067$	$1$		$1$	$17418240$	$2.557121$	$599437478278595809/33854760000$	$0.99177$	$4.49009$	$[1, 1, 0, -6341333, -6148716627]$	\(y^2+xy=x^3+x^2-6341333x-6148716627\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 24.24.0.bx.1, $\ldots$	$[(-122969406998/9171, 712614424662289/9171)]$
465690.g3	465690g2	465690.g	465690g	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( - 2^{3} \cdot 3^{18} \cdot 5^{2} \cdot 19^{6} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.6.0.5, 3.4.0.1	2B, 3B	$19608$	$96$	$1$	$11.40166033$	$1$		$0$	$34836480$	$2.903694$	$-502780379797811809/143268096832200$	$0.99591$	$4.50729$	$[1, 1, 0, -5980333, -6879164027]$	\(y^2+xy=x^3+x^2-5980333x-6879164027\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 24.24.0.p.1, $\ldots$	$[(19972931/58, 79143187481/58)]$
465690.g4	465690g4	465690.g	465690g	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( - 2 \cdot 3^{6} \cdot 5^{6} \cdot 19^{6} \cdot 43^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.6.0.5, 3.4.0.1	2B, 3B	$19608$	$96$	$1$	$3.800553445$	$1$		$0$	$104509440$	$3.453003$	$200541749524551119231/144008551960031250$	$1.03428$	$4.93547$	$[1, 1, 0, 44021777, 55193455327]$	\(y^2+xy=x^3+x^2+44021777x+55193455327\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 24.24.0.p.1, $\ldots$	$[(204299/2, 92933701/2)]$
465690.h1	465690h1	465690.h	465690h	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{5} \cdot 19^{8} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2580$	$2$	$0$	$3.975536815$	$1$		$2$	$8208000$	$2.136585$	$-10134822889/58050000$	$0.86140$	$3.75314$	$[1, 1, 0, -115888, 50078992]$	\(y^2+xy=x^3+x^2-115888x+50078992\)	2580.2.0.?	$[(5204, 372116)]$
465690.i1	465690i1	465690.i	465690i	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( - 2^{13} \cdot 3^{10} \cdot 5^{11} \cdot 19^{10} \cdot 43^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$14.47810756$	$1$		$2$	$1956240000$	$4.903412$	$-2444182070662741739761/43672640400000000000$	$1.03526$	$6.29473$	$[1, 1, 0, -5136279127, -799932667858859]$	\(y^2+xy=x^3+x^2-5136279127x-799932667858859\)	40.2.0.a.1	$[(1025066957, 32818714680584)]$
465690.j1	465690j1	465690.j	465690j	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( - 2^{7} \cdot 3^{3} \cdot 5 \cdot 19^{7} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$98040$	$2$	$0$	$1$	$1$		$0$	$2661120$	$1.526911$	$-1732323601/14117760$	$0.82170$	$3.19148$	$[1, 1, 0, -9032, -1286976]$	\(y^2+xy=x^3+x^2-9032x-1286976\)	98040.2.0.?	$[ ]$
465690.k1	465690k5	465690.k	465690k	$6$	$8$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( 2 \cdot 3 \cdot 5^{8} \cdot 19^{7} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$196080$	$192$	$1$	$1.233165312$	$1$		$4$	$82575360$	$3.333199$	$157130420902139847946321/82338281250$	$0.97794$	$5.44606$	$[1, 1, 0, -405838012, 3146689270486]$	\(y^2+xy=x^3+x^2-405838012x+3146689270486\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0-8.n.1.2, 76.12.0.?, $\ldots$	$[(9707, 344414)]$
465690.k2	465690k3	465690.k	465690k	$6$	$8$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 19^{8} \cdot 43^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$98040$	$192$	$1$	$2.466330625$	$1$		$8$	$41287680$	$2.986626$	$38381916934612839601/27769211122500$	$0.94567$	$4.80878$	$[1, 1, 0, -25369282, 49141152064]$	\(y^2+xy=x^3+x^2-25369282x+49141152064\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0-4.b.1.6, 40.24.0-4.b.1.2, 76.24.0.?, $\ldots$	$[(3418, 47026)]$
465690.k3	465690k6	465690.k	465690k	$6$	$8$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( - 2 \cdot 3 \cdot 5^{2} \cdot 19^{7} \cdot 43^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$196080$	$192$	$1$	$4.932661251$	$4$	$2$	$2$	$82575360$	$3.333199$	$-19447769219685987601/33311370791162850$	$0.95782$	$4.86214$	$[1, 1, 0, -20225032, 69657449914]$	\(y^2+xy=x^3+x^2-20225032x+69657449914\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0-8.n.1.6, 40.24.0-8.n.1.7, $\ldots$	$[(1613, 202256)]$
465690.k4	465690k4	465690.k	465690k	$6$	$8$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 19^{14} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$196080$	$192$	$1$	$9.865322503$	$1$		$2$	$41287680$	$2.986626$	$9417471079857004081/131452777937340$	$0.93951$	$4.70113$	$[1, 1, 0, -15882202, -24073087544]$	\(y^2+xy=x^3+x^2-15882202x-24073087544\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 48.24.0-8.n.1.1, 76.12.0.?, $\ldots$	$[(16955, 2131871)]$
465690.k5	465690k2	465690.k	465690k	$6$	$8$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 19^{10} \cdot 43^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$98040$	$192$	$1$	$4.932661251$	$1$		$6$	$20643840$	$2.640053$	$16418244983975281/7807218339600$	$0.92513$	$4.21444$	$[1, 1, 0, -1911502, 428726116]$	\(y^2+xy=x^3+x^2-1911502x+428726116\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0-4.b.1.4, 40.24.0-4.b.1.3, 76.24.0.?, $\ldots$	$[(1432, 24394)]$
465690.k6	465690k1	465690.k	465690k	$6$	$8$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( - 2^{8} \cdot 3^{8} \cdot 5 \cdot 19^{8} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$196080$	$192$	$1$	$9.865322503$	$1$		$1$	$10321920$	$2.293480$	$184016114839439/130363395840$	$0.89974$	$3.87033$	$[1, 1, 0, 427778, 51166324]$	\(y^2+xy=x^3+x^2+427778x+51166324\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 40.24.0-8.n.1.8, 48.24.0-8.n.1.1, $\ldots$	$[(337525/9, 197071028/9)]$
465690.l1	465690l1	465690.l	465690l	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( - 2^{5} \cdot 3 \cdot 5^{3} \cdot 19^{11} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$98040$	$2$	$0$	$13.01702502$	$1$		$0$	$14688000$	$2.527218$	$-9356716174635361/1277667084000$	$0.90524$	$4.18759$	$[1, 1, 0, -1584797, -854371491]$	\(y^2+xy=x^3+x^2-1584797x-854371491\)	98040.2.0.?	$[(19110793/89, 67402351489/89)]$
465690.m1	465690m1	465690.m	465690m	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( - 2^{22} \cdot 3^{2} \cdot 5^{2} \cdot 19^{3} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3268$	$2$	$0$	$1.883184893$	$1$		$2$	$2168320$	$1.586586$	$-3659312181032299/40579891200$	$0.93112$	$3.42406$	$[1, 1, 0, -60997, -5879219]$	\(y^2+xy=x^3+x^2-60997x-5879219\)	3268.2.0.?	$[(522, 9979)]$
465690.n1	465690n1	465690.n	465690n	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( - 2^{22} \cdot 3 \cdot 5^{2} \cdot 19^{8} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$516$	$2$	$0$	$9.201675680$	$1$		$0$	$32262912$	$2.688313$	$-495704787125401/13526630400$	$0.98493$	$4.40099$	$[1, 1, 0, -4238147, 3434741709]$	\(y^2+xy=x^3+x^2-4238147x+3434741709\)	516.2.0.?	$[(-639338/17, 224595973/17)]$
465690.o1	465690o2	465690.o	465690o	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( 2^{7} \cdot 3^{5} \cdot 5^{6} \cdot 19^{6} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1.149528475$	$1$		$6$	$69672960$	$3.024208$	$503835593418244309249/898614000000$	$1.01669$	$5.00606$	$[1, 0, 1, -59845144, 178188084326]$	\(y^2+xy+y=x^3-59845144x+178188084326\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[(3868, 65753)]$
465690.o2	465690o1	465690.o	465690o	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( - 2^{14} \cdot 3^{10} \cdot 5^{3} \cdot 19^{6} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$2.299056951$	$1$		$5$	$34836480$	$2.677635$	$-119305480789133569/5200091136000$	$0.98567$	$4.37196$	$[1, 0, 1, -3702424, 2843141222]$	\(y^2+xy+y=x^3-3702424x+2843141222\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[(1018, 10862)]$
465690.p1	465690p1	465690.p	465690p	$2$	$3$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{4} \cdot 19^{8} \cdot 43^{3} \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$516$	$16$	$0$	$2.968178112$	$1$		$6$	$45702144$	$2.805634$	$-5789279907940249/21466890000$	$0.92195$	$4.58627$	$[1, 0, 1, -9615604, 11512499906]$	\(y^2+xy+y=x^3-9615604x+11512499906\)	3.8.0-3.a.1.2, 516.16.0.?	$[(1861, 7067)]$
465690.p2	465690p2	465690.p	465690p	$2$	$3$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( - 2^{12} \cdot 3 \cdot 5^{12} \cdot 19^{8} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$516$	$16$	$0$	$8.904534338$	$1$		$0$	$137106432$	$3.354939$	$63395476613331191/129000000000000$	$0.95502$	$4.83987$	$[1, 0, 1, 21352781, 60244350542]$	\(y^2+xy+y=x^3+21352781x+60244350542\)	3.8.0-3.a.1.1, 516.16.0.?	$[(3031/3, 7008880/3)]$
465690.q1	465690q1	465690.q	465690q	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( 2^{19} \cdot 3^{7} \cdot 5^{2} \cdot 19^{10} \cdot 43^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1032$	$2$	$0$	$1$	$1$		$0$	$589498560$	$4.229141$	$292334014104851369809/2279103646924800$	$0.99403$	$5.86677$	$[1, 0, 1, -2530641054, 48668368544656]$	\(y^2+xy+y=x^3-2530641054x+48668368544656\)	1032.2.0.?	$[ ]$
465690.r1	465690r3	465690.r	465690r	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( 2^{4} \cdot 3^{20} \cdot 5^{6} \cdot 19^{10} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19608$	$48$	$0$	$1$	$1$		$0$	$1061683200$	$4.625519$	$21330370319108709464713590769/4884813221669250750000$	$1.01187$	$6.35161$	$[1, 0, 1, -20857652599, 1159203434780522]$	\(y^2+xy+y=x^3-20857652599x+1159203434780522\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 76.12.0.?, 172.12.0.?, $\ldots$	$[ ]$
465690.r2	465690r2	465690.r	465690r	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( 2^{8} \cdot 3^{10} \cdot 5^{12} \cdot 19^{8} \cdot 43^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$9804$	$48$	$0$	$1$	$4$	$2$	$2$	$530841600$	$4.278946$	$7224504146467604173590769/2463409872562500000000$	$0.99787$	$5.73937$	$[1, 0, 1, -1453902599, 13675888280522]$	\(y^2+xy+y=x^3-1453902599x+13675888280522\)	2.6.0.a.1, 12.12.0-2.a.1.1, 76.12.0.?, 172.12.0.?, 228.24.0.?, $\ldots$	$[ ]$
465690.r3	465690r1	465690.r	465690r	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( 2^{16} \cdot 3^{5} \cdot 5^{6} \cdot 19^{7} \cdot 43^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19608$	$48$	$0$	$1$	$1$		$1$	$265420800$	$3.932369$	$506530866772858616168689/16163434718208000000$	$1.01799$	$5.53574$	$[1, 0, 1, -599516679, -5492088957494]$	\(y^2+xy+y=x^3-599516679x-5492088957494\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 76.12.0.?, 114.6.0.?, $\ldots$	$[ ]$
465690.r4	465690r4	465690.r	465690r	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{24} \cdot 19^{7} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19608$	$48$	$0$	$1$	$16$	$2$	$0$	$1061683200$	$4.625519$	$184261146868096453165569551/189333915710449218750000$	$1.01116$	$5.98754$	$[1, 0, 1, 4279672681, 94902302557226]$	\(y^2+xy+y=x^3+4279672681x+94902302557226\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 152.12.0.?, 344.12.0.?, $\ldots$	$[ ]$
465690.s1	465690s1	465690.s	465690s	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( - 2 \cdot 3^{4} \cdot 5 \cdot 19^{8} \cdot 43^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$0.991864093$	$1$		$2$	$3370752$	$1.827438$	$-14317849/1497690$	$0.85160$	$3.46596$	$[1, 0, 1, -13004, 7693436]$	\(y^2+xy+y=x^3-13004x+7693436\)	40.2.0.a.1	$[(30, 2692)]$
465690.t1	465690t1	465690.t	465690t	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( 2^{14} \cdot 3^{2} \cdot 5^{4} \cdot 19^{9} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19608$	$12$	$0$	$1$	$9$	$3$	$1$	$26557440$	$2.745590$	$8909652277891/3962880000$	$0.91044$	$4.31514$	$[1, 0, 1, -2962374, -944308328]$	\(y^2+xy+y=x^3-2962374x-944308328\)	2.3.0.a.1, 456.6.0.?, 1032.6.0.?, 1634.6.0.?, 19608.12.0.?	$[ ]$
465690.t2	465690t2	465690.t	465690t	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( - 2^{7} \cdot 3 \cdot 5^{8} \cdot 19^{9} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19608$	$12$	$0$	$1$	$36$	$2, 3$	$0$	$53114880$	$3.092163$	$364438046686589/277350000000$	$0.93902$	$4.59950$	$[1, 0, 1, 10206906, -7044318824]$	\(y^2+xy+y=x^3+10206906x-7044318824\)	2.3.0.a.1, 456.6.0.?, 1032.6.0.?, 3268.6.0.?, 19608.12.0.?	$[ ]$
465690.u1	465690u2	465690.u	465690u	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( 2 \cdot 3^{2} \cdot 5^{3} \cdot 19^{6} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$25.23492525$	$1$		$0$	$4105728$	$1.876234$	$263732349218689/4160250$	$0.95326$	$3.89790$	$[1, 0, 1, -482304, -128960948]$	\(y^2+xy+y=x^3-482304x-128960948\)	2.3.0.a.1, 40.6.0.b.1, 516.6.0.?, 5160.12.0.?	$[(-677327230478/41097, 16792825101465881/41097)]$
465690.u2	465690u1	465690.u	465690u	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( 2^{2} \cdot 3 \cdot 5^{6} \cdot 19^{6} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$12.61746262$	$1$		$1$	$2052864$	$1.529661$	$70393838689/8062500$	$0.89632$	$3.26742$	$[1, 0, 1, -31054, -1888948]$	\(y^2+xy+y=x^3-31054x-1888948\)	2.3.0.a.1, 40.6.0.c.1, 258.6.0.?, 5160.12.0.?	$[(-386633/57, 76347821/57)]$
465690.v1	465690v1	465690.v	465690v	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( 2^{9} \cdot 3^{19} \cdot 5^{4} \cdot 19^{8} \cdot 43^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1032$	$2$	$0$	$1.446418249$	$1$		$0$	$2451565440$	$5.024681$	$140209221970077211227558889/54675919559221081920000$	$1.02501$	$6.41782$	$[1, 0, 1, -27820219889, -1019996324705788]$	\(y^2+xy+y=x^3-27820219889x-1019996324705788\)	1032.2.0.?	$[(-6542016/7, 6105390397/7)]$
465690.w1	465690w1	465690.w	465690w	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( - 2^{14} \cdot 3^{4} \cdot 5^{6} \cdot 19^{7} \cdot 43 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3268$	$2$	$0$	$0.780586367$	$1$		$16$	$32901120$	$2.692863$	$3407435858352239/16941312000000$	$0.97273$	$4.24927$	$[1, 0, 1, 1131727, -1276701244]$	\(y^2+xy+y=x^3+1131727x-1276701244\)	3268.2.0.?	$[(4875, 344122), (3255/2, 105041/2)]$
465690.x1	465690x1	465690.x	465690x	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( - 2^{8} \cdot 3^{19} \cdot 5^{4} \cdot 19^{2} \cdot 43 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$516$	$2$	$0$	$0.582331078$	$1$		$18$	$12257280$	$2.229588$	$8875085298331396319/7996358892960000$	$0.97525$	$3.79416$	$[1, 0, 1, 307127, -48864244]$	\(y^2+xy+y=x^3+307127x-48864244\)	516.2.0.?	$[(4075, 260402), (430, 12542)]$
465690.y1	465690y3	465690.y	465690y	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 19^{14} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$19608$	$48$	$0$	$1$	$4$	$2$	$0$	$110592000$	$3.328510$	$3369010221948854464561/985895834530050$	$0.96411$	$5.15165$	$[1, 0, 1, -112745723, 460658970956]$	\(y^2+xy+y=x^3-112745723x+460658970956\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 152.24.0.?, 1032.24.0.?, $\ldots$	$[ ]$
465690.y2	465690y2	465690.y	465690y	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( 2^{2} \cdot 3^{6} \cdot 5^{4} \cdot 19^{10} \cdot 43^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.4	2Cs	$19608$	$48$	$0$	$1$	$1$		$2$	$55296000$	$2.981937$	$1188055523119228561/439156031602500$	$0.93990$	$4.54250$	$[1, 0, 1, -7965473, 5200180256]$	\(y^2+xy+y=x^3-7965473x+5200180256\)	2.6.0.a.1, 8.12.0.b.1, 76.12.0.?, 152.24.0.?, 516.12.0.?, $\ldots$	$[ ]$
465690.y3	465690y1	465690.y	465690y	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( 2^{4} \cdot 3^{3} \cdot 5^{8} \cdot 19^{8} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$19608$	$48$	$0$	$1$	$1$		$1$	$27648000$	$2.635365$	$96779076365428561/2619506250000$	$0.91648$	$4.35037$	$[1, 0, 1, -3452973, -2411504744]$	\(y^2+xy+y=x^3-3452973x-2411504744\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 76.12.0.?, 152.24.0.?, $\ldots$	$[ ]$

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