Elliptic curve search results

Results (30 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
2850.k1	2850n2	2850.k	2850n	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \)	\( 2 \cdot 3^{14} \cdot 5^{3} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$0.379888806$	$1$		$8$	$2688$	$0.683935$	$428831641421/181752822$	$0.98464$	$3.97390$	$[1, 0, 1, -786, 4318]$	\(y^2+xy+y=x^3-786x+4318\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(26, 27)]$
2850.s1	2850v2	2850.s	2850v	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \)	\( 2 \cdot 3^{14} \cdot 5^{9} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$8.331180052$	$1$		$0$	$13440$	$1.488653$	$428831641421/181752822$	$0.98464$	$5.18779$	$[1, 1, 1, -19638, 539781]$	\(y^2+xy+y=x^3+x^2-19638x+539781\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(3959/2, 242859/2)]$
8550.j1	8550q2	8550.j	8550q	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( 2 \cdot 3^{20} \cdot 5^{9} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$6.520310382$	$1$		$2$	$107520$	$2.037960$	$428831641421/181752822$	$0.98464$	$5.28635$	$[1, -1, 0, -176742, -14750834]$	\(y^2+xy=x^3-x^2-176742x-14750834\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(465, 1624)]$
8550.bc1	8550bk2	8550.bc	8550bk	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( 2 \cdot 3^{20} \cdot 5^{3} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$4$	$2$	$0$	$21504$	$1.233242$	$428831641421/181752822$	$0.98464$	$4.21975$	$[1, -1, 1, -7070, -116593]$	\(y^2+xy+y=x^3-x^2-7070x-116593\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[ ]$
22800.z1	22800cp2	22800.z	22800cp	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( 2^{13} \cdot 3^{14} \cdot 5^{3} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$64512$	$1.377083$	$428831641421/181752822$	$0.98464$	$3.97931$	$[0, -1, 0, -12568, -276368]$	\(y^2=x^3-x^2-12568x-276368\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[ ]$
22800.cy1	22800dp2	22800.cy	22800dp	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( 2^{13} \cdot 3^{14} \cdot 5^{9} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$2.339950960$	$1$		$7$	$322560$	$2.181801$	$428831641421/181752822$	$0.98464$	$4.94165$	$[0, 1, 0, -314208, -35174412]$	\(y^2=x^3+x^2-314208x-35174412\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(-492, 750)]$
54150.z1	54150bj2	54150.z	54150bj	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( 2 \cdot 3^{14} \cdot 5^{9} \cdot 19^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$0$	$4838400$	$2.960873$	$428831641421/181752822$	$0.98464$	$5.40721$	$[1, 0, 1, -7089326, -3759073702]$	\(y^2+xy+y=x^3-7089326x-3759073702\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[ ]$
54150.bt1	54150cd2	54150.bt	54150cd	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( 2 \cdot 3^{14} \cdot 5^{3} \cdot 19^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$0$	$967680$	$2.156155$	$428831641421/181752822$	$0.98464$	$4.52124$	$[1, 1, 1, -283573, -30186019]$	\(y^2+xy+y=x^3+x^2-283573x-30186019\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[ ]$
68400.cy1	68400gh2	68400.cy	68400gh	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( 2^{13} \cdot 3^{20} \cdot 5^{9} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$4.255774334$	$1$		$3$	$2580480$	$2.731106$	$428831641421/181752822$	$0.98464$	$5.04609$	$[0, 0, 0, -2827875, 946881250]$	\(y^2=x^3-2827875x+946881250\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(-1150, 51750)]$
68400.de1	68400gg2	68400.de	68400gg	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( 2^{13} \cdot 3^{20} \cdot 5^{3} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$5.424208427$	$1$		$3$	$516096$	$1.926388$	$428831641421/181752822$	$0.98464$	$4.17871$	$[0, 0, 0, -113115, 7575050]$	\(y^2=x^3-113115x+7575050\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(359, 3638)]$
91200.cg1	91200gq2	91200.cg	91200gq	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( 2^{19} \cdot 3^{14} \cdot 5^{9} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$19.15651211$	$1$		$1$	$2580480$	$2.528374$	$428831641421/181752822$	$0.98464$	$4.70596$	$[0, -1, 0, -1256833, -280138463]$	\(y^2=x^3-x^2-1256833x-280138463\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(168135464/265, 1900521665037/265)]$
91200.cs1	91200ca2	91200.cs	91200ca	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( 2^{19} \cdot 3^{14} \cdot 5^{3} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$6.459910248$	$1$		$3$	$516096$	$1.723656$	$428831641421/181752822$	$0.98464$	$3.86043$	$[0, -1, 0, -50273, 2261217]$	\(y^2=x^3-x^2-50273x+2261217\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(1203, 41004)]$
91200.gp1	91200ip2	91200.gp	91200ip	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( 2^{19} \cdot 3^{14} \cdot 5^{3} \cdot 19 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1.385495586$	$1$		$21$	$516096$	$1.723656$	$428831641421/181752822$	$0.98464$	$3.86043$	$[0, 1, 0, -50273, -2261217]$	\(y^2=x^3+x^2-50273x-2261217\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(439, 7776), (247, 672)]$
91200.hj1	91200en2	91200.hj	91200en	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( 2^{19} \cdot 3^{14} \cdot 5^{9} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$2580480$	$2.528374$	$428831641421/181752822$	$0.98464$	$4.70596$	$[0, 1, 0, -1256833, 280138463]$	\(y^2=x^3+x^2-1256833x+280138463\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[ ]$
139650.h1	139650ho2	139650.h	139650ho	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( 2 \cdot 3^{14} \cdot 5^{3} \cdot 7^{6} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$0$	$1032192$	$1.656891$	$428831641421/181752822$	$0.98464$	$3.65396$	$[1, 1, 0, -38490, -1519650]$	\(y^2+xy=x^3+x^2-38490x-1519650\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[ ]$
139650.hk1	139650e2	139650.hk	139650e	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( 2 \cdot 3^{14} \cdot 5^{9} \cdot 7^{6} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$0$	$5160960$	$2.461609$	$428831641421/181752822$	$0.98464$	$4.46908$	$[1, 0, 0, -962263, -188031733]$	\(y^2+xy=x^3-962263x-188031733\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[ ]$
162450.bg1	162450cp2	162450.bg	162450cp	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \)	\( 2 \cdot 3^{20} \cdot 5^{3} \cdot 19^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$0$	$7741440$	$2.705460$	$428831641421/181752822$	$0.98464$	$4.65664$	$[1, -1, 0, -2552157, 812470351]$	\(y^2+xy=x^3-x^2-2552157x+812470351\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[ ]$
162450.dz1	162450g2	162450.dz	162450g	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \)	\( 2 \cdot 3^{20} \cdot 5^{9} \cdot 19^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$24.94473622$	$1$		$0$	$38707200$	$3.510181$	$428831641421/181752822$	$0.98464$	$5.46148$	$[1, -1, 1, -63803930, 101494989947]$	\(y^2+xy+y=x^3-x^2-63803930x+101494989947\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(-599615792529/15278, 1782086025264064805/15278)]$
273600.hc1	273600hc2	273600.hc	273600hc	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( 2^{19} \cdot 3^{20} \cdot 5^{3} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$4128768$	$2.272961$	$428831641421/181752822$	$0.98464$	$4.04819$	$[0, 0, 0, -452460, -60600400]$	\(y^2=x^3-452460x-60600400\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[ ]$
273600.hl1	273600hl2	273600.hl	273600hl	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( 2^{19} \cdot 3^{20} \cdot 5^{9} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$4$	$2$	$1$	$20643840$	$3.077682$	$428831641421/181752822$	$0.98464$	$4.81952$	$[0, 0, 0, -11311500, -7575050000]$	\(y^2=x^3-11311500x-7575050000\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[ ]$
273600.ja1	273600ja2	273600.ja	273600ja	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( 2^{19} \cdot 3^{20} \cdot 5^{3} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$4$	$2$	$1$	$4128768$	$2.272961$	$428831641421/181752822$	$0.98464$	$4.04819$	$[0, 0, 0, -452460, 60600400]$	\(y^2=x^3-452460x+60600400\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[ ]$
273600.jj1	273600jj2	273600.jj	273600jj	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( 2^{19} \cdot 3^{20} \cdot 5^{9} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$4$	$2$	$1$	$20643840$	$3.077682$	$428831641421/181752822$	$0.98464$	$4.81952$	$[0, 0, 0, -11311500, 7575050000]$	\(y^2=x^3-11311500x+7575050000\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[ ]$
344850.bb1	344850bb2	344850.bb	344850bb	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 19 \)	\( 2 \cdot 3^{14} \cdot 5^{9} \cdot 11^{6} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$0$	$17203200$	$2.687603$	$428831641421/181752822$	$0.98464$	$4.36493$	$[1, 1, 0, -2376200, -730329750]$	\(y^2+xy=x^3+x^2-2376200x-730329750\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[ ]$
344850.gs1	344850gs2	344850.gs	344850gs	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 19 \)	\( 2 \cdot 3^{14} \cdot 5^{3} \cdot 11^{6} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$0$	$3440640$	$1.882883$	$428831641421/181752822$	$0.98464$	$3.60760$	$[1, 0, 0, -95048, -5842638]$	\(y^2+xy=x^3-95048x-5842638\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[ ]$
418950.hz1	418950hz2	418950.hz	418950hz	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( 2 \cdot 3^{20} \cdot 5^{9} \cdot 7^{6} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$9.442235526$	$1$		$0$	$41287680$	$3.010914$	$428831641421/181752822$	$0.98464$	$4.59900$	$[1, -1, 0, -8660367, 5076856791]$	\(y^2+xy=x^3-x^2-8660367x+5076856791\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(33009/31, 2059041048/31)]$
418950.pr1	418950pr2	418950.pr	418950pr	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( 2 \cdot 3^{20} \cdot 5^{3} \cdot 7^{6} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$0$	$8257536$	$2.206196$	$428831641421/181752822$	$0.98464$	$3.85306$	$[1, -1, 1, -346415, 40684137]$	\(y^2+xy+y=x^3-x^2-346415x+40684137\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[ ]$
433200.dg1	433200dg2	433200.dg	433200dg	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( 2^{13} \cdot 3^{14} \cdot 5^{9} \cdot 19^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$9$	$3$	$1$	$116121600$	$3.654022$	$428831641421/181752822$	$0.98464$	$5.18175$	$[0, -1, 0, -113429208, 240580716912]$	\(y^2=x^3-x^2-113429208x+240580716912\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[ ]$
433200.il1	433200il2	433200.il	433200il	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( 2^{13} \cdot 3^{14} \cdot 5^{3} \cdot 19^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$2.855179709$	$1$		$5$	$23224320$	$2.849300$	$428831641421/181752822$	$0.98464$	$4.43773$	$[0, 1, 0, -4537168, 1922830868]$	\(y^2=x^3+x^2-4537168x+1922830868\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(-772, 70470)]$
481650.be1	481650be2	481650.be	481650be	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 19 \)	\( 2 \cdot 3^{14} \cdot 5^{9} \cdot 13^{6} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$23.38556520$	$1$		$0$	$29030400$	$2.771130$	$428831641421/181752822$	$0.98464$	$4.33008$	$[1, 1, 0, -3318825, 1202493375]$	\(y^2+xy=x^3+x^2-3318825x+1202493375\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(11755312951/2193, 912678810723457/2193)]$
481650.hz1	481650hz2	481650.hz	481650hz	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 19 \)	\( 2 \cdot 3^{14} \cdot 5^{3} \cdot 13^{6} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$4.443218911$	$1$		$0$	$5806080$	$1.966410$	$428831641421/181752822$	$0.98464$	$3.59209$	$[1, 0, 0, -132753, 9619947]$	\(y^2+xy=x^3-132753x+9619947\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(3219/2, 161535/2)]$

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