Elliptic curve search results

Results (32 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
2184.d1	2184a1	2184.d	2184a	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 13 \)	\( 2^{4} \cdot 3^{6} \cdot 7^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$0.557973569$	$1$		$7$	$384$	$0.145968$	$58107136000/464373$	$0.92375$	$3.58414$	$[0, -1, 0, -203, 1176]$	\(y^2=x^3-x^2-203x+1176\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[(7, 7)]$
4368.t1	4368l1	4368.t	4368l	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \)	\( 2^{4} \cdot 3^{6} \cdot 7^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1.161030058$	$1$		$3$	$768$	$0.145968$	$58107136000/464373$	$0.92375$	$3.28775$	$[0, 1, 0, -203, -1176]$	\(y^2=x^3+x^2-203x-1176\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[(28, 126)]$
6552.k1	6552s1	6552.k	6552s	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13 \)	\( 2^{4} \cdot 3^{12} \cdot 7^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1.321644755$	$1$		$7$	$3072$	$0.695274$	$58107136000/464373$	$0.92375$	$3.88617$	$[0, 0, 0, -1830, -29923]$	\(y^2=x^3-1830x-29923\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[(-26, 9)]$
13104.bl1	13104x1	13104.bl	13104x	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \)	\( 2^{4} \cdot 3^{12} \cdot 7^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1.860350993$	$1$		$3$	$6144$	$0.695274$	$58107136000/464373$	$0.92375$	$3.60205$	$[0, 0, 0, -1830, 29923]$	\(y^2=x^3-1830x+29923\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[(27, 14)]$
15288.x1	15288k1	15288.x	15288k	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( 2^{4} \cdot 3^{6} \cdot 7^{8} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$18432$	$1.118923$	$58107136000/464373$	$0.92375$	$4.07206$	$[0, 1, 0, -9963, -383454]$	\(y^2=x^3+x^2-9963x-383454\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[ ]$
17472.u1	17472ci1	17472.u	17472ci	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13 \)	\( 2^{10} \cdot 3^{6} \cdot 7^{2} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$6144$	$0.492542$	$58107136000/464373$	$0.92375$	$3.24692$	$[0, -1, 0, -813, -8595]$	\(y^2=x^3-x^2-813x-8595\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[ ]$
17472.ci1	17472y1	17472.ci	17472y	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13 \)	\( 2^{10} \cdot 3^{6} \cdot 7^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$0.571748515$	$1$		$7$	$6144$	$0.492542$	$58107136000/464373$	$0.92375$	$3.24692$	$[0, 1, 0, -813, 8595]$	\(y^2=x^3+x^2-813x+8595\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[(6, 63)]$
28392.l1	28392w1	28392.l	28392w	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 7^{2} \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1.646604750$	$1$		$5$	$64512$	$1.428442$	$58107136000/464373$	$0.92375$	$4.18845$	$[0, -1, 0, -34363, 2446300]$	\(y^2=x^3-x^2-34363x+2446300\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[(73, 567)]$
30576.u1	30576i1	30576.u	30576i	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( 2^{4} \cdot 3^{6} \cdot 7^{8} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$4.889659045$	$1$		$1$	$36864$	$1.118923$	$58107136000/464373$	$0.92375$	$3.79877$	$[0, -1, 0, -9963, 383454]$	\(y^2=x^3-x^2-9963x+383454\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[(-459/2, 405/2)]$
45864.bb1	45864bo1	45864.bb	45864bo	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{4} \cdot 3^{12} \cdot 7^{8} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$2.718733942$	$1$		$5$	$147456$	$1.668230$	$58107136000/464373$	$0.92375$	$4.26940$	$[0, 0, 0, -89670, 10263589]$	\(y^2=x^3-89670x+10263589\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[(210, 833)]$
52416.dh1	52416bt1	52416.dh	52416bt	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 13 \)	\( 2^{10} \cdot 3^{12} \cdot 7^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$2.950106612$	$1$		$3$	$49152$	$1.041847$	$58107136000/464373$	$0.92375$	$3.52524$	$[0, 0, 0, -7320, -239384]$	\(y^2=x^3-7320x-239384\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[(254, 3780)]$
52416.dr1	52416gi1	52416.dr	52416gi	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 13 \)	\( 2^{10} \cdot 3^{12} \cdot 7^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1.602241439$	$1$		$3$	$49152$	$1.041847$	$58107136000/464373$	$0.92375$	$3.52524$	$[0, 0, 0, -7320, 239384]$	\(y^2=x^3-7320x+239384\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[(-2, 504)]$
54600.cq1	54600cm1	54600.cq	54600cm	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 7^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$0.678949234$	$1$		$7$	$55296$	$0.950687$	$58107136000/464373$	$0.92375$	$3.41176$	$[0, 1, 0, -5083, 136838]$	\(y^2=x^3+x^2-5083x+136838\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[(47, 63)]$
56784.ck1	56784j1	56784.ck	56784j	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 7^{2} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$129024$	$1.428442$	$58107136000/464373$	$0.92375$	$3.92325$	$[0, 1, 0, -34363, -2446300]$	\(y^2=x^3+x^2-34363x-2446300\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[ ]$
85176.bh1	85176ba1	85176.bh	85176ba	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{12} \cdot 7^{2} \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$4.636043862$	$1$		$1$	$516096$	$1.977749$	$58107136000/464373$	$0.92375$	$4.36376$	$[0, 0, 0, -309270, -65740831]$	\(y^2=x^3-309270x-65740831\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[(-1271/2, 5355/2)]$
91728.dp1	91728be1	91728.dp	91728be	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{4} \cdot 3^{12} \cdot 7^{8} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$4$	$2$	$1$	$294912$	$1.668230$	$58107136000/464373$	$0.92375$	$4.01041$	$[0, 0, 0, -89670, -10263589]$	\(y^2=x^3-89670x-10263589\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[ ]$
109200.l1	109200i1	109200.l	109200i	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 7^{2} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$110592$	$0.950687$	$58107136000/464373$	$0.92375$	$3.20791$	$[0, -1, 0, -5083, -136838]$	\(y^2=x^3-x^2-5083x-136838\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[ ]$
122304.cd1	122304k1	122304.cd	122304k	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( 2^{10} \cdot 3^{6} \cdot 7^{8} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$294912$	$1.465496$	$58107136000/464373$	$0.92375$	$3.70424$	$[0, -1, 0, -39853, -3027779]$	\(y^2=x^3-x^2-39853x-3027779\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[ ]$
122304.gr1	122304gv1	122304.gr	122304gv	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( 2^{10} \cdot 3^{6} \cdot 7^{8} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$294912$	$1.465496$	$58107136000/464373$	$0.92375$	$3.70424$	$[0, 1, 0, -39853, 3027779]$	\(y^2=x^3+x^2-39853x+3027779\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[ ]$
163800.dm1	163800dm1	163800.dm	163800dm	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{4} \cdot 3^{12} \cdot 5^{6} \cdot 7^{2} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$442368$	$1.499994$	$58107136000/464373$	$0.92375$	$3.64859$	$[0, 0, 0, -45750, -3740375]$	\(y^2=x^3-45750x-3740375\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[ ]$
170352.cs1	170352fa1	170352.cs	170352fa	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{12} \cdot 7^{2} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$1032192$	$1.977749$	$58107136000/464373$	$0.92375$	$4.11266$	$[0, 0, 0, -309270, 65740831]$	\(y^2=x^3-309270x+65740831\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[ ]$
198744.cu1	198744p1	198744.cu	198744p	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 7^{8} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$3096576$	$2.401398$	$58107136000/464373$	$0.92375$	$4.47740$	$[0, 1, 0, -1683803, -835713306]$	\(y^2=x^3+x^2-1683803x-835713306\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[ ]$
227136.ch1	227136dj1	227136.ch	227136dj	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{6} \cdot 7^{2} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$1032192$	$1.775017$	$58107136000/464373$	$0.92375$	$3.81947$	$[0, -1, 0, -137453, -19432947]$	\(y^2=x^3-x^2-137453x-19432947\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[ ]$
227136.hh1	227136fu1	227136.hh	227136fu	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{6} \cdot 7^{2} \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$0.916452996$	$1$		$7$	$1032192$	$1.775017$	$58107136000/464373$	$0.92375$	$3.81947$	$[0, 1, 0, -137453, 19432947]$	\(y^2=x^3+x^2-137453x+19432947\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[(238, 507)]$
264264.t1	264264t1	264264.t	264264t	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 11^{2} \cdot 13 \)	\( 2^{4} \cdot 3^{6} \cdot 7^{2} \cdot 11^{6} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$4.586095098$	$1$		$3$	$537600$	$1.344915$	$58107136000/464373$	$0.92375$	$3.35975$	$[0, -1, 0, -24603, -1466892]$	\(y^2=x^3-x^2-24603x-1466892\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[(277, 3591)]$
327600.fc1	327600fc1	327600.fc	327600fc	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{4} \cdot 3^{12} \cdot 5^{6} \cdot 7^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$3.308477799$	$1$		$3$	$884736$	$1.499994$	$58107136000/464373$	$0.92375$	$3.44945$	$[0, 0, 0, -45750, 3740375]$	\(y^2=x^3-45750x+3740375\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[(439, 8262)]$
366912.hs1	366912hs1	366912.hs	366912hs	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{10} \cdot 3^{12} \cdot 7^{8} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$2359296$	$2.014805$	$58107136000/464373$	$0.92375$	$3.90109$	$[0, 0, 0, -358680, -82108712]$	\(y^2=x^3-358680x-82108712\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[ ]$
366912.iu1	366912iu1	366912.iu	366912iu	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{10} \cdot 3^{12} \cdot 7^{8} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$4.977996331$	$1$		$3$	$2359296$	$2.014805$	$58107136000/464373$	$0.92375$	$3.90109$	$[0, 0, 0, -358680, 82108712]$	\(y^2=x^3-358680x+82108712\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[(-446, 12384)]$
382200.de1	382200de1	382200.de	382200de	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 7^{8} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$6.750075808$	$1$		$1$	$2654208$	$1.923643$	$58107136000/464373$	$0.92375$	$3.80359$	$[0, -1, 0, -249083, -47433588]$	\(y^2=x^3-x^2-249083x-47433588\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[(5869/3, 221039/3)]$
397488.ct1	397488ct1	397488.ct	397488ct	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 7^{8} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$6193152$	$2.401398$	$58107136000/464373$	$0.92375$	$4.23669$	$[0, -1, 0, -1683803, 835713306]$	\(y^2=x^3-x^2-1683803x+835713306\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[ ]$
436800.gv1	436800gv1	436800.gv	436800gv	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{10} \cdot 3^{6} \cdot 5^{6} \cdot 7^{2} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$884736$	$1.297260$	$58107136000/464373$	$0.92375$	$3.18572$	$[0, -1, 0, -20333, 1115037]$	\(y^2=x^3-x^2-20333x+1115037\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[ ]$
436800.nq1	436800nq1	436800.nq	436800nq	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{10} \cdot 3^{6} \cdot 5^{6} \cdot 7^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$2.292595605$	$1$		$5$	$884736$	$1.297260$	$58107136000/464373$	$0.92375$	$3.18572$	$[0, 1, 0, -20333, -1115037]$	\(y^2=x^3+x^2-20333x-1115037\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[(-81, 84)]$

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