Elliptic curve search results

Results (7 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
138437.c1	138437c1	138437.c	138437c	$1$	$1$	\( 13 \cdot 23 \cdot 463 \)	\( - 13 \cdot 23 \cdot 463 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$553748$	$2$	$0$	$1$	$784$	$2, 7$	$0$	$461500032$	$5.173050$	$-26279705133975700879810709280839941369137625/138437$	$1.03129$	$8.44534$	$[1, 1, 0, -6193920002885, -5933305228440879554]$	\(y^2+xy=x^3+x^2-6193920002885x-5933305228440879554\)	553748.2.0.?	$[]$
207909.d1	207909d4	207909.d	207909d	$4$	$4$	\( 3^{2} \cdot 13 \cdot 1777 \)	\( 3^{13} \cdot 13 \cdot 1777 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$554424$	$48$	$0$	$1$	$784$	$2, 7$	$0$	$61931520$	$3.474449$	$2163508398821387010988882550017/50521887$	$0.99718$	$6.24270$	$[1, -1, 0, -2425050576, -45964610703275]$	\(y^2+xy=x^3-x^2-2425050576x-45964610703275\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 52.12.0-4.c.1.1, 312.24.0.?, $\ldots$	$[]$
303870.y1	303870y4	303870.y	303870y	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 1447 \)	\( 2 \cdot 3^{3} \cdot 5 \cdot 7^{3} \cdot 1447 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.6	2B	$1215480$	$48$	$0$	$1$	$784$	$2, 7$	$0$	$52365312$	$3.150639$	$40373754876379201883443369781761/134006670$	$0.99324$	$5.76471$	$[1, 1, 1, -714702240, -7354504430733]$	\(y^2+xy+y=x^3+x^2-714702240x-7354504430733\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 420.12.0.?, 840.24.0.?, $\ldots$	$[]$
334170.e1	334170e4	334170.e	334170e	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 47 \cdot 79 \)	\( 2^{14} \cdot 3^{7} \cdot 5^{5} \cdot 47^{2} \cdot 79 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9480$	$48$	$0$	$1$	$784$	$2, 7$	$0$	$40971141120$	$6.565178$	$323118604495047420671299827830934347435212800001/26804889600000$	$1.06433$	$9.11882$	$[1, -1, 0, -1286634700800000, -17763600445139557105664]$	\(y^2+xy=x^3-x^2-1286634700800000x-17763600445139557105664\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.3, 120.24.0.?, $\ldots$	$[]$
423885.m1	423885m1	423885.m	423885m	$1$	$1$	\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 367 \)	\( 3^{2} \cdot 5^{23} \cdot 7^{9} \cdot 11^{4} \cdot 367 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$25690$	$2$	$0$	$1$	$784$	$2, 7$	$0$	$90955097856$	$7.027710$	$2498873846086207351223981440780459262468741852299264/23263324257938396930694580078125$	$1.07690$	$9.13373$	$[0, 1, 1, -2827093724073081, -57857335655736926933494]$	\(y^2+y=x^3+x^2-2827093724073081x-57857335655736926933494\)	25690.2.0.?	$[]$
431230.e1	431230e1	431230.e	431230e	$1$	$1$	\( 2 \cdot 5 \cdot 29 \cdot 1487 \)	\( - 2^{38} \cdot 5^{3} \cdot 29 \cdot 1487^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$431230$	$2$	$0$	$1$	$784$	$2, 7$	$0$	$7935034752$	$5.167435$	$-170391056122084475924816649972070778264601/3276278046243858415616000$	$1.03208$	$7.31740$	$[1, -1, 0, -1154979726004, -477759566997351472]$	\(y^2+xy=x^3-x^2-1154979726004x-477759566997351472\)	431230.2.0.?	$[]$
480930.f1	480930f4	480930.f	480930f	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 23 \cdot 41 \)	\( 2^{9} \cdot 3 \cdot 5^{20} \cdot 17^{3} \cdot 23 \cdot 41 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.6.0.1	2B	$1923720$	$48$	$0$	$1$	$784$	$2, 7$	$0$	$1060024320$	$4.441208$	$6046107961186852596492446597755549609/678656103515625000000000$	$1.01233$	$6.47324$	$[1, 0, 1, -37953403579, -2845933114556794]$	\(y^2+xy+y=x^3-37953403579x-2845933114556794\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 328.12.0.?, 1640.24.0.?, $\ldots$	$[]$