Elliptic curve search results

Results (10 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
76440.p2	76440h1	76440.p	76440h	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{11} \cdot 5^{3} \cdot 7^{3} \cdot 13^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$9$	$3$	$1$	$10475520$	$3.299343$	$211072197308055014773168/3052652281946850375$	$1.03165$	$5.78868$	$[0, -1, 0, -55133276, 155605284276]$	\(y^2=x^3-x^2-55133276x+155605284276\)	2.3.0.a.1, 210.6.0.?, 364.6.0.?, 780.6.0.?, 5460.12.0.?	$[]$
76440.da2	76440bo1	76440.da	76440bo	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{11} \cdot 5^{3} \cdot 7^{9} \cdot 13^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1.354207178$	$1$		$5$	$73328640$	$4.272293$	$211072197308055014773168/3052652281946850375$	$1.03165$	$6.82703$	$[0, 1, 0, -2701530540, -53367209445600]$	\(y^2=x^3+x^2-2701530540x-53367209445600\)	2.3.0.a.1, 210.6.0.?, 364.6.0.?, 780.6.0.?, 5460.12.0.?	$[(-32040, 547560)]$
152880.cv2	152880hc1	152880.cv	152880hc	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{11} \cdot 5^{3} \cdot 7^{9} \cdot 13^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$1$	$146657280$	$4.272293$	$211072197308055014773168/3052652281946850375$	$1.03165$	$6.43061$	$[0, -1, 0, -2701530540, 53367209445600]$	\(y^2=x^3-x^2-2701530540x+53367209445600\)	2.3.0.a.1, 210.6.0.?, 364.6.0.?, 780.6.0.?, 5460.12.0.?	$[]$
152880.ep2	152880gi1	152880.ep	152880gi	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{11} \cdot 5^{3} \cdot 7^{3} \cdot 13^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$6.276124549$	$1$		$3$	$20951040$	$3.299343$	$211072197308055014773168/3052652281946850375$	$1.03165$	$5.45256$	$[0, 1, 0, -55133276, -155605284276]$	\(y^2=x^3+x^2-55133276x-155605284276\)	2.3.0.a.1, 210.6.0.?, 364.6.0.?, 780.6.0.?, 5460.12.0.?	$[(-4553, 32472)]$
229320.p2	229320bd1	229320.p	229320bd	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{17} \cdot 5^{3} \cdot 7^{9} \cdot 13^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$7.320397395$	$1$		$3$	$586629120$	$4.821602$	$211072197308055014773168/3052652281946850375$	$1.03165$	$6.75341$	$[0, 0, 0, -24313774863, 1440890341256338]$	\(y^2=x^3-24313774863x+1440890341256338\)	2.3.0.a.1, 210.6.0.?, 364.6.0.?, 780.6.0.?, 5460.12.0.?	$[(80997, 1711570)]$
229320.cs2	229320f1	229320.cs	229320f	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{17} \cdot 5^{3} \cdot 7^{3} \cdot 13^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$4.373180952$	$1$		$1$	$83804160$	$3.848648$	$211072197308055014773168/3052652281946850375$	$1.03165$	$5.80749$	$[0, 0, 0, -496199487, -4200846475966]$	\(y^2=x^3-496199487x-4200846475966\)	2.3.0.a.1, 210.6.0.?, 364.6.0.?, 780.6.0.?, 5460.12.0.?	$[(-48503/2, 1454355/2)]$
382200.ej2	382200ej1	382200.ej	382200ej	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{11} \cdot 5^{9} \cdot 7^{9} \cdot 13^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$57.13599942$	$1$		$1$	$1759887360$	$5.077019$	$211072197308055014773168/3052652281946850375$	$1.03165$	$6.72347$	$[0, -1, 0, -67538263508, -6670766104172988]$	\(y^2=x^3-x^2-67538263508x-6670766104172988\)	2.3.0.a.1, 210.6.0.?, 364.6.0.?, 780.6.0.?, 5460.12.0.?	$[(4200971834198440303775834892/63108358039, 263092397155195328845891674704656607543250/63108358039)]$
382200.jh2	382200jh1	382200.jh	382200jh	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{11} \cdot 5^{9} \cdot 7^{3} \cdot 13^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$0.646781003$	$1$		$11$	$251412480$	$4.104057$	$211072197308055014773168/3052652281946850375$	$1.03165$	$5.81514$	$[0, 1, 0, -1378331908, 19447903870688]$	\(y^2=x^3+x^2-1378331908x+19447903870688\)	2.3.0.a.1, 210.6.0.?, 364.6.0.?, 780.6.0.?, 5460.12.0.?	$[(18974, 355914)]$
458640.gl2	458640gl1	458640.gl	458640gl	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{17} \cdot 5^{3} \cdot 7^{9} \cdot 13^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$4$	$2$	$1$	$1173258240$	$4.821602$	$211072197308055014773168/3052652281946850375$	$1.03165$	$6.39432$	$[0, 0, 0, -24313774863, -1440890341256338]$	\(y^2=x^3-24313774863x-1440890341256338\)	2.3.0.a.1, 210.6.0.?, 364.6.0.?, 780.6.0.?, 5460.12.0.?	$[]$
458640.nc2	458640nc1	458640.nc	458640nc	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{17} \cdot 5^{3} \cdot 7^{3} \cdot 13^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$1$	$167608320$	$3.848648$	$211072197308055014773168/3052652281946850375$	$1.03165$	$5.49869$	$[0, 0, 0, -496199487, 4200846475966]$	\(y^2=x^3-496199487x+4200846475966\)	2.3.0.a.1, 210.6.0.?, 364.6.0.?, 780.6.0.?, 5460.12.0.?	$[]$