Elliptic curve search results

Results (26 matches)

 

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.o2	2730n8	2730.o	2730n	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 3 \cdot 5^{3} \cdot 7 \cdot 13^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	4.6.0.1, 3.8.0.2	2B, 3B.1.2	$10920$	$384$	$5$	$1$	$1$		$0$	$82944$	$2.337929$	$109454124781830273937129/3914078300576808000$	$1.12174$	$6.70493$	$[1, 0, 1, -996559, 370812482]$	\(y^2+xy+y=x^3-996559x+370812482\)	2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.96.0-12.c.3.3, $\ldots$	$[]$
8190.bx2	8190bv7	8190.bx	8190bv	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 3^{7} \cdot 5^{3} \cdot 7 \cdot 13^{12} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.8, 3.8.0.1	2B, 3B.1.1	$10920$	$384$	$5$	$1$	$4$	$2$	$4$	$663552$	$2.887234$	$109454124781830273937129/3914078300576808000$	$1.12174$	$6.61898$	$[1, -1, 1, -8969027, -10011937021]$	\(y^2+xy+y=x^3-x^2-8969027x-10011937021\)	2.3.0.a.1, 3.8.0-3.a.1.2, 4.12.0-4.c.1.2, 6.24.0-6.a.1.4, 12.96.0-12.c.3.7, $\ldots$	$[]$
13650.bs2	13650bq8	13650.bs	13650bq	$8$	$12$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 3 \cdot 5^{9} \cdot 7 \cdot 13^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$1$	$4$	$2$	$0$	$1990656$	$3.142647$	$109454124781830273937129/3914078300576808000$	$1.12174$	$6.58577$	$[1, 1, 1, -24913963, 46351560281]$	\(y^2+xy+y=x^3+x^2-24913963x+46351560281\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$	$[]$
19110.m2	19110j7	19110.m	19110j	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{6} \cdot 3 \cdot 5^{3} \cdot 7^{7} \cdot 13^{12} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$5.194659061$	$1$		$2$	$3981312$	$3.310883$	$109454124781830273937129/3914078300576808000$	$1.12174$	$6.56578$	$[1, 1, 0, -48831367, -127237512779]$	\(y^2+xy=x^3+x^2-48831367x-127237512779\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$	$[(-3613, 47009)]$
21840.f2	21840bd8	21840.f	21840bd	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{18} \cdot 3 \cdot 5^{3} \cdot 7 \cdot 13^{12} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$4.011536855$	$1$		$3$	$1990656$	$3.031075$	$109454124781830273937129/3914078300576808000$	$1.12174$	$6.14198$	$[0, -1, 0, -15944936, -23731998864]$	\(y^2=x^3-x^2-15944936x-23731998864\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.96.0-12.c.3.4, $\ldots$	$[(5650, 257894)]$
35490.dm2	35490dl8	35490.dm	35490dl	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{6} \cdot 3 \cdot 5^{3} \cdot 7 \cdot 13^{18} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.6, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$1$	$4$	$2$	$0$	$13934592$	$3.620403$	$109454124781830273937129/3914078300576808000$	$1.12174$	$6.53235$	$[1, 0, 0, -168418390, 814843441892]$	\(y^2+xy=x^3-168418390x+814843441892\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.5, $\ldots$	$[]$
40950.r2	40950r8	40950.r	40950r	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 3^{7} \cdot 5^{9} \cdot 7 \cdot 13^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$1$	$1$		$0$	$15925248$	$3.691952$	$109454124781830273937129/3914078300576808000$	$1.12174$	$6.52518$	$[1, -1, 0, -224225667, -1251716353259]$	\(y^2+xy=x^3-x^2-224225667x-1251716353259\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$	$[]$
57330.dn2	57330du8	57330.dn	57330du	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{6} \cdot 3^{7} \cdot 5^{3} \cdot 7^{7} \cdot 13^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$1$	$1$		$0$	$31850496$	$3.860188$	$109454124781830273937129/3914078300576808000$	$1.12174$	$6.50905$	$[1, -1, 1, -439482308, 3434973362727]$	\(y^2+xy+y=x^3-x^2-439482308x+3434973362727\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$	$[]$
65520.cv2	65520du8	65520.cv	65520du	$8$	$12$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{18} \cdot 3^{7} \cdot 5^{3} \cdot 7 \cdot 13^{12} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.7, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$2.786927608$	$1$		$9$	$15925248$	$3.580379$	$109454124781830273937129/3914078300576808000$	$1.12174$	$6.12791$	$[0, 0, 0, -143504427, 640907473754]$	\(y^2=x^3-143504427x+640907473754\)	2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.1, 6.12.0.a.1, 12.96.0-12.c.3.8, $\ldots$	$[(8063, 89570)]$
87360.da2	87360bh8	87360.da	87360bh	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{24} \cdot 3 \cdot 5^{3} \cdot 7 \cdot 13^{12} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$11.69413407$	$1$		$1$	$15925248$	$3.377647$	$109454124781830273937129/3914078300576808000$	$1.12174$	$5.75915$	$[0, -1, 0, -63779745, 189919770657]$	\(y^2=x^3-x^2-63779745x+189919770657\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$	$[(235723/3, 109627532/3)]$
87360.fv2	87360gr8	87360.fv	87360gr	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{24} \cdot 3 \cdot 5^{3} \cdot 7 \cdot 13^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$1$	$4$	$2$	$1$	$15925248$	$3.377647$	$109454124781830273937129/3914078300576808000$	$1.12174$	$5.75915$	$[0, 1, 0, -63779745, -189919770657]$	\(y^2=x^3+x^2-63779745x-189919770657\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$	$[]$
95550.ka2	95550jx8	95550.ka	95550jx	$8$	$12$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{6} \cdot 3 \cdot 5^{9} \cdot 7^{7} \cdot 13^{12} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.8, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$3.605551522$	$1$		$2$	$95551488$	$4.115601$	$109454124781830273937129/3914078300576808000$	$1.12174$	$6.48637$	$[1, 0, 0, -1220784188, -15902247529008]$	\(y^2+xy=x^3-1220784188x-15902247529008\)	2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.2, 6.24.0-6.a.1.1, 12.96.0-12.c.3.2, $\ldots$	$[(41238, 1950090)]$
106470.p2	106470w8	106470.p	106470w	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{6} \cdot 3^{7} \cdot 5^{3} \cdot 7 \cdot 13^{18} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$1$	$16$	$2$	$0$	$111476736$	$4.169708$	$109454124781830273937129/3914078300576808000$	$1.12174$	$6.48183$	$[1, -1, 0, -1515765510, -22000772931084]$	\(y^2+xy=x^3-x^2-1515765510x-22000772931084\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$	$[]$
109200.gk2	109200fy8	109200.gk	109200fy	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{18} \cdot 3 \cdot 5^{9} \cdot 7 \cdot 13^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$1$	$36$	$2, 3$	$1$	$47775744$	$3.835793$	$109454124781830273937129/3914078300576808000$	$1.12174$	$6.12228$	$[0, 1, 0, -398623408, -2967297104812]$	\(y^2=x^3+x^2-398623408x-2967297104812\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$	$[]$
152880.hj2	152880bb7	152880.hj	152880bb	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{18} \cdot 3 \cdot 5^{3} \cdot 7^{7} \cdot 13^{12} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$18.99743241$	$1$		$1$	$95551488$	$4.004028$	$109454124781830273937129/3914078300576808000$	$1.12174$	$6.11883$	$[0, 1, 0, -781301880, 8141638214100]$	\(y^2=x^3+x^2-781301880x+8141638214100\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$	$[(411554516/145, 1800045001614/145)]$
177450.cc2	177450ja7	177450.cc	177450ja	$8$	$12$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{6} \cdot 3 \cdot 5^{9} \cdot 7 \cdot 13^{18} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$1$	$9$	$3$	$0$	$334430208$	$4.425117$	$109454124781830273937129/3914078300576808000$	$1.12174$	$6.46146$	$[1, 1, 0, -4210459750, 101855430236500]$	\(y^2+xy=x^3+x^2-4210459750x+101855430236500\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$	$[]$
248430.ge2	248430ge8	248430.ge	248430ge	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( 2^{6} \cdot 3 \cdot 5^{3} \cdot 7^{7} \cdot 13^{18} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$13.98494691$	$4$	$2$	$2$	$668860416$	$4.593353$	$109454124781830273937129/3914078300576808000$	$1.12174$	$6.44896$	$[1, 1, 1, -8252501111, -279499553070067]$	\(y^2+xy+y=x^3+x^2-8252501111x-279499553070067\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$	$[(2058617, 2949726218)]$
262080.bt2	262080bt7	262080.bt	262080bt	$8$	$12$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{24} \cdot 3^{7} \cdot 5^{3} \cdot 7 \cdot 13^{12} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.8, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$31.88806083$	$1$		$1$	$127401984$	$3.926952$	$109454124781830273937129/3914078300576808000$	$1.12174$	$5.78036$	$[0, 0, 0, -574017708, 5127259790032]$	\(y^2=x^3-574017708x+5127259790032\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.4, $\ldots$	$[(209028707815277/39673, 2975876443851008417955/39673)]$
262080.fm2	262080fm8	262080.fm	262080fm	$8$	$12$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{24} \cdot 3^{7} \cdot 5^{3} \cdot 7 \cdot 13^{12} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.7, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$33.75476974$	$1$		$1$	$127401984$	$3.926952$	$109454124781830273937129/3914078300576808000$	$1.12174$	$5.78036$	$[0, 0, 0, -574017708, -5127259790032]$	\(y^2=x^3-574017708x-5127259790032\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.3, $\ldots$	$[(-985674247484776/266135, 7676821209682796248132/266135)]$
283920.dl2	283920dl8	283920.dl	283920dl	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{18} \cdot 3 \cdot 5^{3} \cdot 7 \cdot 13^{18} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.6, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$1$	$4$	$2$	$1$	$334430208$	$4.313545$	$109454124781830273937129/3914078300576808000$	$1.12174$	$6.11298$	$[0, -1, 0, -2694694240, -52149980281088]$	\(y^2=x^3-x^2-2694694240x-52149980281088\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.5, $\ldots$	$[]$
286650.et2	286650et7	286650.et	286650et	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{6} \cdot 3^{7} \cdot 5^{9} \cdot 7^{7} \cdot 13^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$1$	$1$		$0$	$764411904$	$4.664909$	$109454124781830273937129/3914078300576808000$	$1.12174$	$6.44385$	$[1, -1, 0, -10987057692, 429360683283216]$	\(y^2+xy=x^3-x^2-10987057692x+429360683283216\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.24.0-6.a.1.3, 12.96.0-12.c.3.6, $\ldots$	$[]$
327600.ka2	327600ka7	327600.ka	327600ka	$8$	$12$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{18} \cdot 3^{7} \cdot 5^{9} \cdot 7 \cdot 13^{12} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$31.79430709$	$1$		$5$	$382205952$	$4.385101$	$109454124781830273937129/3914078300576808000$	$1.12174$	$6.11170$	$[0, 0, 0, -3587610675, 80113434219250]$	\(y^2=x^3-3587610675x+80113434219250\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$	$[(-43735, 12384000), (222385/3, 69112000/3)]$
330330.fp2	330330fp8	330330.fp	330330fp	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \)	\( 2^{6} \cdot 3 \cdot 5^{3} \cdot 7 \cdot 11^{6} \cdot 13^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$120120$	$384$	$5$	$1$	$16$	$2$	$0$	$119439360$	$3.536873$	$109454124781830273937129/3914078300576808000$	$1.12174$	$5.30673$	$[1, 0, 0, -120583581, -493671997455]$	\(y^2+xy=x^3-120583581x-493671997455\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$	$[]$
436800.io2	436800io8	436800.io	436800io	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{24} \cdot 3 \cdot 5^{9} \cdot 7 \cdot 13^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$1$	$1$		$1$	$382205952$	$4.182365$	$109454124781830273937129/3914078300576808000$	$1.12174$	$5.78900$	$[0, -1, 0, -1594493633, -23736782344863]$	\(y^2=x^3-x^2-1594493633x-23736782344863\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$	$[]$
436800.nj2	436800nj7	436800.nj	436800nj	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{24} \cdot 3 \cdot 5^{9} \cdot 7 \cdot 13^{12} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$6.418975009$	$1$		$1$	$382205952$	$4.182365$	$109454124781830273937129/3914078300576808000$	$1.12174$	$5.78900$	$[0, 1, 0, -1594493633, 23736782344863]$	\(y^2=x^3+x^2-1594493633x+23736782344863\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$	$[(73317763/21, 611082368000/21)]$
458640.cn2	458640cn8	458640.cn	458640cn	$8$	$12$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{18} \cdot 3^{7} \cdot 5^{3} \cdot 7^{7} \cdot 13^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$10920$	$384$	$5$	$1$	$4$	$2$	$1$	$764411904$	$4.553337$	$109454124781830273937129/3914078300576808000$	$1.12174$	$6.10882$	$[0, 0, 0, -7031716923, -219831263497622]$	\(y^2=x^3-7031716923x-219831263497622\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$	$[]$