Elliptic curve search results

Results (26 matches)

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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
2730.u2	2730w3	2730.u	2730w	$6$	$8$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{2} \cdot 3^{4} \cdot 5^{4} \cdot 7^{4} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.24.0.6	2Cs	$10920$	$192$	$1$	$1$	$1$		$2$	$4096$	$0.901865$	$6237734630203441/82168222500$	$0.95187$	$4.59671$	$[1, 1, 1, -3835, -91963]$	\(y^2+xy+y=x^3+x^2-3835x-91963\)	2.6.0.a.1, 4.24.0-4.b.1.1, 40.48.0-40.h.2.3, 104.48.0.?, 168.48.0.?, $\ldots$	$[ ]$
8190.g2	8190k3	8190.g	8190k	$6$	$8$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{2} \cdot 3^{10} \cdot 5^{4} \cdot 7^{4} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$10920$	$192$	$1$	$1.197470426$	$1$		$12$	$32768$	$1.451172$	$6237734630203441/82168222500$	$0.95187$	$4.76780$	$[1, -1, 0, -34515, 2448481]$	\(y^2+xy=x^3-x^2-34515x+2448481\)	2.6.0.a.1, 4.12.0.b.1, 12.24.0-4.b.1.1, 40.24.0.h.2, 56.24.0-4.b.1.8, $\ldots$	$[(80, 401)]$
13650.bh2	13650be3	13650.bh	13650be	$6$	$8$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{2} \cdot 3^{4} \cdot 5^{10} \cdot 7^{4} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.9	2Cs	$10920$	$192$	$1$	$0.959849898$	$1$		$14$	$98304$	$1.706585$	$6237734630203441/82168222500$	$0.95187$	$4.83391$	$[1, 0, 1, -95876, -11303602]$	\(y^2+xy+y=x^3-95876x-11303602\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 20.24.0-4.b.1.1, 40.48.0-40.h.2.10, $\ldots$	$[(-189, 367)]$
19110.cm2	19110co3	19110.cm	19110co	$6$	$8$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{2} \cdot 3^{4} \cdot 5^{4} \cdot 7^{10} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$10920$	$192$	$1$	$1$	$1$		$2$	$196608$	$1.874821$	$6237734630203441/82168222500$	$0.95187$	$4.87371$	$[1, 0, 0, -187916, 30979500]$	\(y^2+xy=x^3-187916x+30979500\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0-4.b.1.8, 28.24.0-4.b.1.1, 40.24.0.h.2, $\ldots$	$[ ]$
21840.cm2	21840ck4	21840.cm	21840ck	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{14} \cdot 3^{4} \cdot 5^{4} \cdot 7^{4} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.5	2Cs	$10920$	$192$	$1$	$1$	$1$		$7$	$98304$	$1.595013$	$6237734630203441/82168222500$	$0.95187$	$4.47252$	$[0, 1, 0, -61360, 5762900]$	\(y^2=x^3+x^2-61360x+5762900\)	2.6.0.a.1, 4.24.0-4.b.1.3, 40.48.0-40.h.2.9, 104.48.0.?, 168.48.0.?, $\ldots$	$[ ]$
35490.l2	35490i4	35490.l	35490i	$6$	$8$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{2} \cdot 3^{4} \cdot 5^{4} \cdot 7^{4} \cdot 13^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.19	2Cs	$10920$	$192$	$1$	$1$	$1$		$2$	$688128$	$2.184341$	$6237734630203441/82168222500$	$0.95187$	$4.94026$	$[1, 1, 0, -648118, -198801728]$	\(y^2+xy=x^3+x^2-648118x-198801728\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.6, 40.48.0-40.h.2.32, 52.24.0-4.b.1.1, $\ldots$	$[ ]$
40950.ff2	40950ef4	40950.ff	40950ef	$6$	$8$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{2} \cdot 3^{10} \cdot 5^{10} \cdot 7^{4} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$10920$	$192$	$1$	$1$	$1$		$2$	$786432$	$2.255890$	$6237734630203441/82168222500$	$0.95187$	$4.95454$	$[1, -1, 1, -862880, 305197247]$	\(y^2+xy+y=x^3-x^2-862880x+305197247\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0-4.b.1.3, 40.24.0.h.2, 56.24.0-4.b.1.5, $\ldots$	$[ ]$
57330.cs2	57330cg4	57330.cs	57330cg	$6$	$8$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{2} \cdot 3^{10} \cdot 5^{4} \cdot 7^{10} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.14	2Cs	$10920$	$192$	$1$	$1$	$1$		$2$	$1572864$	$2.424126$	$6237734630203441/82168222500$	$0.95187$	$4.98664$	$[1, -1, 0, -1691244, -836446500]$	\(y^2+xy=x^3-x^2-1691244x-836446500\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 40.48.0-40.h.2.14, 84.24.0.?, $\ldots$	$[ ]$
65520.bh2	65520dg4	65520.bh	65520dg	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{14} \cdot 3^{10} \cdot 5^{4} \cdot 7^{4} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$10920$	$192$	$1$	$1.812121832$	$1$		$13$	$786432$	$2.144318$	$6237734630203441/82168222500$	$0.95187$	$4.62383$	$[0, 0, 0, -552243, -156150542]$	\(y^2=x^3-552243x-156150542\)	2.6.0.a.1, 4.12.0.b.1, 12.24.0-4.b.1.3, 40.24.0.h.2, 56.24.0-4.b.1.3, $\ldots$	$[(-439, 1296)]$
87360.bc2	87360eq4	87360.bc	87360eq	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{20} \cdot 3^{4} \cdot 5^{4} \cdot 7^{4} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.21	2Cs	$10920$	$192$	$1$	$1.558155860$	$1$		$11$	$786432$	$1.941586$	$6237734630203441/82168222500$	$0.95187$	$4.29310$	$[0, -1, 0, -245441, 46348641]$	\(y^2=x^3-x^2-245441x+46348641\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.2, 40.48.0-40.h.2.11, 52.24.0-4.b.1.2, $\ldots$	$[(325, 896)]$
87360.eh2	87360bw4	87360.eh	87360bw	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{20} \cdot 3^{4} \cdot 5^{4} \cdot 7^{4} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.20	2Cs	$10920$	$192$	$1$	$1$	$1$		$3$	$786432$	$1.941586$	$6237734630203441/82168222500$	$0.95187$	$4.29310$	$[0, 1, 0, -245441, -46348641]$	\(y^2=x^3+x^2-245441x-46348641\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.11, 40.48.0-40.h.2.1, 52.24.0-4.b.1.2, $\ldots$	$[ ]$
95550.q2	95550br4	95550.q	95550br	$6$	$8$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{2} \cdot 3^{4} \cdot 5^{10} \cdot 7^{10} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$10920$	$192$	$1$	$2.266059532$	$1$		$8$	$4718592$	$2.679539$	$6237734630203441/82168222500$	$0.95187$	$5.03178$	$[1, 1, 0, -4697900, 3872437500]$	\(y^2+xy=x^3+x^2-4697900x+3872437500\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0-4.b.1.5, 40.24.0.h.2, 56.24.0-4.b.1.3, $\ldots$	$[(650, 32750)]$
106470.fo2	106470gb4	106470.fo	106470gb	$6$	$8$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{2} \cdot 3^{10} \cdot 5^{4} \cdot 7^{4} \cdot 13^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$10920$	$192$	$1$	$2.005944729$	$1$		$6$	$5505024$	$2.733646$	$6237734630203441/82168222500$	$0.95187$	$5.04083$	$[1, -1, 1, -5833067, 5361813591]$	\(y^2+xy+y=x^3-x^2-5833067x+5361813591\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0-4.b.1.6, 40.24.0.h.2, 56.24.0-4.b.1.2, $\ldots$	$[(1751, 21804)]$
109200.bj2	109200cy4	109200.bj	109200cy	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{14} \cdot 3^{4} \cdot 5^{10} \cdot 7^{4} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.14	2Cs	$10920$	$192$	$1$	$1$	$1$		$3$	$2359296$	$2.399731$	$6237734630203441/82168222500$	$0.95187$	$4.68443$	$[0, -1, 0, -1534008, 723430512]$	\(y^2=x^3-x^2-1534008x+723430512\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 20.24.0-4.b.1.3, 40.48.0-40.h.2.4, $\ldots$	$[ ]$
152880.ch2	152880ey4	152880.ch	152880ey	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{14} \cdot 3^{4} \cdot 5^{4} \cdot 7^{10} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$10920$	$192$	$1$	$6.404498505$	$1$		$5$	$4718592$	$2.567966$	$6237734630203441/82168222500$	$0.95187$	$4.72151$	$[0, -1, 0, -3006656, -1982688000]$	\(y^2=x^3-x^2-3006656x-1982688000\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0-4.b.1.3, 28.24.0-4.b.1.3, 40.24.0.h.2, $\ldots$	$[(17138, 2231550)]$
177450.jb2	177450ce4	177450.jb	177450ce	$6$	$8$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{2} \cdot 3^{4} \cdot 5^{10} \cdot 7^{4} \cdot 13^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.17	2Cs	$10920$	$192$	$1$	$12.81301775$	$1$		$2$	$16515072$	$2.989059$	$6237734630203441/82168222500$	$0.95187$	$5.08137$	$[1, 0, 0, -16202963, -24817810083]$	\(y^2+xy=x^3-16202963x-24817810083\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 40.48.0-40.h.2.21, 104.48.0.?, $\ldots$	$[(-9805766/63, 3209567885/63)]$
248430.fa2	248430fa3	248430.fa	248430fa	$6$	$8$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( 2^{2} \cdot 3^{4} \cdot 5^{4} \cdot 7^{10} \cdot 13^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$10920$	$192$	$1$	$1$	$1$		$2$	$33030144$	$3.157295$	$6237734630203441/82168222500$	$0.95187$	$5.10625$	$[1, 0, 1, -31757808, 68093719306]$	\(y^2+xy+y=x^3-31757808x+68093719306\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0-4.b.1.2, 40.24.0.h.2, 56.24.0-4.b.1.6, $\ldots$	$[ ]$
262080.hk2	262080hk3	262080.hk	262080hk	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{20} \cdot 3^{10} \cdot 5^{4} \cdot 7^{4} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$10920$	$192$	$1$	$1.559494242$	$1$		$13$	$6291456$	$2.490891$	$6237734630203441/82168222500$	$0.95187$	$4.44340$	$[0, 0, 0, -2208972, 1249204336]$	\(y^2=x^3-2208972x+1249204336\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0-4.b.1.11, 40.24.0.h.2, 56.24.0-4.b.1.2, $\ldots$	$[(197, 28665)]$
262080.na2	262080na4	262080.na	262080na	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{20} \cdot 3^{10} \cdot 5^{4} \cdot 7^{4} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$10920$	$192$	$1$	$2.660305586$	$1$		$9$	$6291456$	$2.490891$	$6237734630203441/82168222500$	$0.95187$	$4.44340$	$[0, 0, 0, -2208972, -1249204336]$	\(y^2=x^3-2208972x-1249204336\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0-4.b.1.1, 40.24.0.h.2, 56.24.0-4.b.1.7, $\ldots$	$[(-827, 3465)]$
283920.ek2	283920ek3	283920.ek	283920ek	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{14} \cdot 3^{4} \cdot 5^{4} \cdot 7^{4} \cdot 13^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.19	2Cs	$10920$	$192$	$1$	$3.133264609$	$1$		$9$	$16515072$	$2.877487$	$6237734630203441/82168222500$	$0.95187$	$4.78454$	$[0, 1, 0, -10369896, 12702570804]$	\(y^2=x^3+x^2-10369896x+12702570804\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.6, 40.48.0-40.h.2.22, 52.24.0-4.b.1.3, $\ldots$	$[(2094, 13200)]$
286650.ql2	286650ql4	286650.ql	286650ql	$6$	$8$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{2} \cdot 3^{10} \cdot 5^{10} \cdot 7^{10} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.24	2Cs	$10920$	$192$	$1$	$3.656593172$	$4$	$2$	$6$	$37748736$	$3.228844$	$6237734630203441/82168222500$	$0.95187$	$5.11643$	$[1, -1, 1, -42281105, -104598093603]$	\(y^2+xy+y=x^3-x^2-42281105x-104598093603\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.5, 40.48.0-40.h.2.7, 104.48.0.?, $\ldots$	$[(8579, 400710)]$
327600.z2	327600z4	327600.z	327600z	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{14} \cdot 3^{10} \cdot 5^{10} \cdot 7^{4} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$10920$	$192$	$1$	$4.465443101$	$1$		$7$	$18874368$	$2.949036$	$6237734630203441/82168222500$	$0.95187$	$4.79824$	$[0, 0, 0, -13806075, -19518817750]$	\(y^2=x^3-13806075x-19518817750\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0-4.b.1.8, 40.24.0.h.2, 56.24.0-4.b.1.5, $\ldots$	$[(-2249, 12474)]$
330330.bg2	330330bg3	330330.bg	330330bg	$6$	$8$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \)	\( 2^{2} \cdot 3^{4} \cdot 5^{4} \cdot 7^{4} \cdot 11^{6} \cdot 13^{2} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$120120$	$192$	$1$	$1.018613548$	$1$		$42$	$5242880$	$2.100811$	$6237734630203441/82168222500$	$0.95187$	$3.99413$	$[1, 1, 0, -464037, 120082329]$	\(y^2+xy=x^3+x^2-464037x+120082329\)	2.6.0.a.1, 4.12.0.b.1, 40.24.0.h.2, 44.24.0-4.b.1.1, 104.24.0.?, $\ldots$	$[(215, 5398), (488, 2941)]$
436800.jt2	436800jt4	436800.jt	436800jt	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{20} \cdot 3^{4} \cdot 5^{10} \cdot 7^{4} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.11	2Cs	$10920$	$192$	$1$	$4.979093794$	$1$		$5$	$18874368$	$2.746304$	$6237734630203441/82168222500$	$0.95187$	$4.50463$	$[0, -1, 0, -6136033, -5781308063]$	\(y^2=x^3-x^2-6136033x-5781308063\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 40.48.0-40.h.2.12, 104.48.0.?, $\ldots$	$[(-1537, 4056)]$
436800.lg2	436800lg3	436800.lg	436800lg	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{20} \cdot 3^{4} \cdot 5^{10} \cdot 7^{4} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.17	2Cs	$10920$	$192$	$1$	$1$	$1$		$3$	$18874368$	$2.746304$	$6237734630203441/82168222500$	$0.95187$	$4.50463$	$[0, 1, 0, -6136033, 5781308063]$	\(y^2=x^3+x^2-6136033x+5781308063\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 40.48.0-40.h.2.2, 104.48.0.?, $\ldots$	$[ ]$
458640.ig2	458640ig3	458640.ig	458640ig	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{14} \cdot 3^{10} \cdot 5^{4} \cdot 7^{10} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.9	2Cs	$10920$	$192$	$1$	$2.114350312$	$1$		$9$	$37748736$	$3.117275$	$6237734630203441/82168222500$	$0.95187$	$4.82926$	$[0, 0, 0, -27059907, 53559635906]$	\(y^2=x^3-27059907x+53559635906\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 40.48.0-40.h.2.8, 84.24.0.?, $\ldots$	$[(-383, 252720)]$

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