Elliptic curve search results

Results (14 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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
4902.f2	4902h1	4902.f	4902h	$4$	$6$	\( 2 \cdot 3 \cdot 19 \cdot 43 \)	\( 2^{8} \cdot 3^{6} \cdot 19^{3} \cdot 43 \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$9804$	$96$	$1$	$1$	$1$		$5$	$6912$	$0.941945$	$23894093340015625/55042322688$	$0.98432$	$4.43811$	$1$	$[1, 0, 1, -6001, 178052]$	\(y^2+xy+y=x^3-6001x+178052\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 12.48.0-12.j.1.8, 1634.6.0.?, $\ldots$	$[ ]$	$1$
14706.q2	14706u1	14706.q	14706u	$4$	$6$	\( 2 \cdot 3^{2} \cdot 19 \cdot 43 \)	\( 2^{8} \cdot 3^{12} \cdot 19^{3} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$9804$	$96$	$1$	$0.880171560$	$1$		$7$	$55296$	$1.491251$	$23894093340015625/55042322688$	$0.98432$	$4.61693$	$1$	$[1, -1, 1, -54005, -4807411]$	\(y^2+xy+y=x^3-x^2-54005x-4807411\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 12.48.0-12.j.1.6, 1634.6.0.?, $\ldots$	$[(-137, -8)]$	$1$
39216.i2	39216i1	39216.i	39216i	$4$	$6$	\( 2^{4} \cdot 3 \cdot 19 \cdot 43 \)	\( 2^{20} \cdot 3^{6} \cdot 19^{3} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$9804$	$96$	$1$	$1$	$4$	$2$	$1$	$165888$	$1.635092$	$23894093340015625/55042322688$	$0.98432$	$4.35198$	$1$	$[0, -1, 0, -96008, -11395344]$	\(y^2=x^3-x^2-96008x-11395344\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.48.0-12.j.1.4, 1634.6.0.?, $\ldots$	$[ ]$	$1$
93138.y2	93138bc1	93138.y	93138bc	$4$	$6$	\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \)	\( 2^{8} \cdot 3^{6} \cdot 19^{9} \cdot 43 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$9804$	$96$	$1$	$6.359687073$	$1$		$9$	$2488320$	$2.414165$	$23894093340015625/55042322688$	$0.98432$	$4.84005$	$1$	$[1, 1, 1, -2166188, -1225592755]$	\(y^2+xy+y=x^3+x^2-2166188x-1225592755\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 57.8.0-3.a.1.1, $\ldots$	$[(2981, 135689), (-14035/4, 76051/4)]$	$1$
117648.bg2	117648x1	117648.bg	117648x	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 19 \cdot 43 \)	\( 2^{20} \cdot 3^{12} \cdot 19^{3} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$9804$	$96$	$1$	$7.101341456$	$1$		$1$	$1327104$	$2.184399$	$23894093340015625/55042322688$	$0.98432$	$4.50705$	$1$	$[0, 0, 0, -864075, 308538362]$	\(y^2=x^3-864075x+308538362\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.48.0-12.j.1.2, 1634.6.0.?, $\ldots$	$[(37057/8, 784161/8)]$	$1$
122550.by2	122550bs1	122550.by	122550bs	$4$	$6$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \cdot 43 \)	\( 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 19^{3} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$49020$	$96$	$1$	$0.986670675$	$1$		$5$	$995328$	$1.746664$	$23894093340015625/55042322688$	$0.98432$	$4.04301$	$1$	$[1, 1, 1, -150013, 22256531]$	\(y^2+xy+y=x^3+x^2-150013x+22256531\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 15.8.0-3.a.1.2, $\ldots$	$[(165, 1342)]$	$1$
156864.q2	156864dd1	156864.q	156864dd	$4$	$6$	\( 2^{6} \cdot 3 \cdot 19 \cdot 43 \)	\( 2^{26} \cdot 3^{6} \cdot 19^{3} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$19608$	$96$	$1$	$3.045329531$	$1$		$5$	$1327104$	$1.981667$	$23894093340015625/55042322688$	$0.98432$	$4.19531$	$1$	$[0, -1, 0, -384033, 91546785]$	\(y^2=x^3-x^2-384033x+91546785\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 24.48.0-12.j.1.3, $\ldots$	$[(399, 1296)]$	$1$
156864.cy2	156864n1	156864.cy	156864n	$4$	$6$	\( 2^{6} \cdot 3 \cdot 19 \cdot 43 \)	\( 2^{26} \cdot 3^{6} \cdot 19^{3} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$19608$	$96$	$1$	$2.964101555$	$1$		$5$	$1327104$	$1.981667$	$23894093340015625/55042322688$	$0.98432$	$4.19531$	$1$	$[0, 1, 0, -384033, -91546785]$	\(y^2=x^3+x^2-384033x-91546785\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 24.48.0-12.j.1.7, $\ldots$	$[(-363, 396)]$	$1$
210786.w2	210786o1	210786.w	210786o	$4$	$6$	\( 2 \cdot 3 \cdot 19 \cdot 43^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 19^{3} \cdot 43^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$9804$	$96$	$1$	$17.58272730$	$1$		$1$	$12773376$	$2.822544$	$23894093340015625/55042322688$	$0.98432$	$4.91733$	$1$	$[1, 1, 1, -11094963, -14200780047]$	\(y^2+xy+y=x^3+x^2-11094963x-14200780047\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 114.24.0.?, $\ldots$	$[(-348028333/419, 282847501314/419)]$	$1$
240198.h2	240198h1	240198.h	240198h	$4$	$6$	\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \cdot 43 \)	\( 2^{8} \cdot 3^{6} \cdot 7^{6} \cdot 19^{3} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$68628$	$96$	$1$	$11.75129646$	$1$		$1$	$1990656$	$1.914900$	$23894093340015625/55042322688$	$0.98432$	$3.98636$	$1$	$[1, 1, 0, -294025, -61365947]$	\(y^2+xy=x^3+x^2-294025x-61365947\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 21.8.0-3.a.1.1, $\ldots$	$[(-1437353/67, 133012393/67)]$	$1$
279414.o2	279414o1	279414.o	279414o	$4$	$6$	\( 2 \cdot 3^{2} \cdot 19^{2} \cdot 43 \)	\( 2^{8} \cdot 3^{12} \cdot 19^{9} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$9804$	$96$	$1$	$1$	$1$		$1$	$19906560$	$2.963470$	$23894093340015625/55042322688$	$0.98432$	$4.94167$	$1$	$[1, -1, 0, -19495692, 33071508688]$	\(y^2+xy=x^3-x^2-19495692x+33071508688\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 57.8.0-3.a.1.2, $\ldots$	$[ ]$	$1$
367650.bv2	367650bv1	367650.bv	367650bv	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \cdot 43 \)	\( 2^{8} \cdot 3^{12} \cdot 5^{6} \cdot 19^{3} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$49020$	$96$	$1$	$3.582893023$	$1$		$3$	$7962624$	$2.295971$	$23894093340015625/55042322688$	$0.98432$	$4.21078$	$1$	$[1, -1, 0, -1350117, -602276459]$	\(y^2+xy=x^3-x^2-1350117x-602276459\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 15.8.0-3.a.1.1, $\ldots$	$[(3323, 176093)]$	$1$
470592.cj2	470592cj1	470592.cj	470592cj	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 19 \cdot 43 \)	\( 2^{26} \cdot 3^{12} \cdot 19^{3} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$19608$	$96$	$1$	$1$	$4$	$2$	$1$	$10616832$	$2.530972$	$23894093340015625/55042322688$	$0.98432$	$4.34710$	$1$	$[0, 0, 0, -3456300, -2468306896]$	\(y^2=x^3-3456300x-2468306896\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 24.48.0-12.j.1.1, $\ldots$	$[ ]$	$1$
470592.dq2	470592dq1	470592.dq	470592dq	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 19 \cdot 43 \)	\( 2^{26} \cdot 3^{12} \cdot 19^{3} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$19608$	$96$	$1$	$4.332531262$	$1$		$1$	$10616832$	$2.530972$	$23894093340015625/55042322688$	$0.98432$	$4.34710$	$1$	$[0, 0, 0, -3456300, 2468306896]$	\(y^2=x^3-3456300x+2468306896\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 24.48.0-12.j.1.5, $\ldots$	$[(-3494/3, 1653760/3)]$	$1$

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