Elliptic curve search results

Results (14 matches)

  Download displayed columns for results to

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
16170.f1	16170h2	16170.f	16170h	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{19} \cdot 3^{14} \cdot 5 \cdot 7^{9} \cdot 11^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$25$	$5$	$0$	$21450240$	$4.221474$	$298315634894429753085191407/22212303505611816960$	$1.05885$	$8.09763$	$[1, 1, 0, -4774686788, -126982627296048]$	\(y^2+xy=x^3+x^2-4774686788x-126982627296048\)	2.3.0.a.1, 280.6.0.?, 924.6.0.?, 1320.6.0.?, 9240.12.0.?	$[ ]$
16170.x1	16170bb2	16170.x	16170bb	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{19} \cdot 3^{14} \cdot 5 \cdot 7^{3} \cdot 11^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$0$	$3064320$	$3.248516$	$298315634894429753085191407/22212303505611816960$	$1.05885$	$6.89284$	$[1, 0, 1, -97442588, 370197821018]$	\(y^2+xy+y=x^3-97442588x+370197821018\)	2.3.0.a.1, 280.6.0.?, 924.6.0.?, 1320.6.0.?, 9240.12.0.?	$[ ]$
48510.cq1	48510dn2	48510.cq	48510dn	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{19} \cdot 3^{20} \cdot 5 \cdot 7^{3} \cdot 11^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1.212457548$	$1$		$6$	$24514560$	$3.797821$	$298315634894429753085191407/22212303505611816960$	$1.05885$	$6.80193$	$[1, -1, 1, -876983288, -9995341167493]$	\(y^2+xy+y=x^3-x^2-876983288x-9995341167493\)	2.3.0.a.1, 280.6.0.?, 924.6.0.?, 1320.6.0.?, 9240.12.0.?	$[(-17043, 30697)]$
48510.em1	48510el2	48510.em	48510el	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{19} \cdot 3^{20} \cdot 5 \cdot 7^{9} \cdot 11^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$0$	$171601920$	$4.770775$	$298315634894429753085191407/22212303505611816960$	$1.05885$	$7.88404$	$[1, -1, 1, -42972181097, 3428487964812201]$	\(y^2+xy+y=x^3-x^2-42972181097x+3428487964812201\)	2.3.0.a.1, 280.6.0.?, 924.6.0.?, 1320.6.0.?, 9240.12.0.?	$[ ]$
80850.ee1	80850ed2	80850.ee	80850ed	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{19} \cdot 3^{14} \cdot 5^{7} \cdot 7^{3} \cdot 11^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1.012631550$	$1$		$6$	$73543680$	$4.053230$	$298315634894429753085191407/22212303505611816960$	$1.05885$	$6.76568$	$[1, 1, 1, -2436064688, 46274727627281]$	\(y^2+xy+y=x^3+x^2-2436064688x+46274727627281\)	2.3.0.a.1, 280.6.0.?, 924.6.0.?, 1320.6.0.?, 9240.12.0.?	$[(26645, 519077)]$
80850.fo1	80850gi2	80850.fo	80850gi	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{19} \cdot 3^{14} \cdot 5^{7} \cdot 7^{9} \cdot 11^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$0$	$514805760$	$5.026192$	$298315634894429753085191407/22212303505611816960$	$1.05885$	$7.79887$	$[1, 0, 0, -119367169713, -15872589677666583]$	\(y^2+xy=x^3-119367169713x-15872589677666583\)	2.3.0.a.1, 280.6.0.?, 924.6.0.?, 1320.6.0.?, 9240.12.0.?	$[ ]$
129360.da1	129360fu2	129360.da	129360fu	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{31} \cdot 3^{14} \cdot 5 \cdot 7^{3} \cdot 11^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$10.41882072$	$1$		$1$	$73543680$	$3.941662$	$298315634894429753085191407/22212303505611816960$	$1.05885$	$6.38177$	$[0, -1, 0, -1559081400, -23692660545168]$	\(y^2=x^3-x^2-1559081400x-23692660545168\)	2.3.0.a.1, 280.6.0.?, 924.6.0.?, 1320.6.0.?, 9240.12.0.?	$[(18354332/19, 36595339264/19)]$
129360.fq1	129360gz2	129360.fq	129360gz	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{31} \cdot 3^{14} \cdot 5 \cdot 7^{9} \cdot 11^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$2.123381666$	$1$		$3$	$514805760$	$4.914619$	$298315634894429753085191407/22212303505611816960$	$1.05885$	$7.37371$	$[0, 1, 0, -76394988616, 8126735356969844]$	\(y^2=x^3+x^2-76394988616x+8126735356969844\)	2.3.0.a.1, 280.6.0.?, 924.6.0.?, 1320.6.0.?, 9240.12.0.?	$[(359006, 164229120)]$
177870.en1	177870dp2	177870.en	177870dp	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( 2^{19} \cdot 3^{14} \cdot 5 \cdot 7^{9} \cdot 11^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$0$	$2574028800$	$5.420418$	$298315634894429753085191407/22212303505611816960$	$1.05885$	$7.68155$	$[1, 1, 1, -577737101411, 169010988245532929]$	\(y^2+xy+y=x^3+x^2-577737101411x+169010988245532929\)	2.3.0.a.1, 280.6.0.?, 924.6.0.?, 1320.6.0.?, 9240.12.0.?	$[ ]$
177870.ja1	177870ba2	177870.ja	177870ba	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( 2^{19} \cdot 3^{14} \cdot 5 \cdot 7^{3} \cdot 11^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$0$	$367718400$	$4.447464$	$298315634894429753085191407/22212303505611816960$	$1.05885$	$6.71574$	$[1, 0, 0, -11790553090, -492745090328380]$	\(y^2+xy=x^3-11790553090x-492745090328380\)	2.3.0.a.1, 280.6.0.?, 924.6.0.?, 1320.6.0.?, 9240.12.0.?	$[ ]$
242550.dv1	242550dv2	242550.dv	242550dv	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{19} \cdot 3^{20} \cdot 5^{7} \cdot 7^{9} \cdot 11^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$0$	$4118446080$	$5.575493$	$298315634894429753085191407/22212303505611816960$	$1.05885$	$7.63948$	$[1, -1, 0, -1074304527417, 428559921296997741]$	\(y^2+xy=x^3-x^2-1074304527417x+428559921296997741\)	2.3.0.a.1, 280.6.0.?, 924.6.0.?, 1320.6.0.?, 9240.12.0.?	$[ ]$
242550.hr1	242550hr2	242550.hr	242550hr	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{19} \cdot 3^{20} \cdot 5^{7} \cdot 7^{3} \cdot 11^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$9$	$3$	$0$	$588349440$	$4.602539$	$298315634894429753085191407/22212303505611816960$	$1.05885$	$6.69784$	$[1, -1, 0, -21924582192, -1249439570518784]$	\(y^2+xy=x^3-x^2-21924582192x-1249439570518784\)	2.3.0.a.1, 280.6.0.?, 924.6.0.?, 1320.6.0.?, 9240.12.0.?	$[ ]$
388080.d1	388080d2	388080.d	388080d	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{31} \cdot 3^{20} \cdot 5 \cdot 7^{3} \cdot 11^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$588349440$	$4.490967$	$298315634894429753085191407/22212303505611816960$	$1.05885$	$6.34918$	$[0, 0, 0, -14031732603, 639715866452138]$	\(y^2=x^3-14031732603x+639715866452138\)	2.3.0.a.1, 280.6.0.?, 924.6.0.?, 1320.6.0.?, 9240.12.0.?	$[ ]$
388080.lr1	388080lr2	388080.lr	388080lr	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{31} \cdot 3^{20} \cdot 5 \cdot 7^{9} \cdot 11^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$255.2166843$	$1$		$1$	$4118446080$	$5.463921$	$298315634894429753085191407/22212303505611816960$	$1.05885$	$7.25644$	$[0, 0, 0, -687554897547, -219422542193083334]$	\(y^2=x^3-687554897547x-219422542193083334\)	2.3.0.a.1, 280.6.0.?, 924.6.0.?, 1320.6.0.?, 9240.12.0.?	$[(129303418434438631941105439579080415533489197338030075835028034066863231562839324409528017364334007796071656637575/366947621536413303639526956571909723803168242246082469, 3782619569260185510751349180292509757917504421605332462189587533743193801503888116019698265672060806977856894228435571814857073707820699204981603443516495215056790243414/366947621536413303639526956571909723803168242246082469)]$

  Download displayed columns for results to