Elliptic curve search results

Results (12 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
28322.u1	28322bh1	28322.u	28322bh	$1$	$1$	\( 2 \cdot 7^{2} \cdot 17^{2} \)	\( 2^{2} \cdot 7^{9} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$28$	$2$	$0$	$1$	$1$		$0$	$411264$	$2.256535$	$206839/4$	$0.99742$	$5.11331$	$[1, 1, 1, -807472, -274910091]$	\(y^2+xy+y=x^3+x^2-807472x-274910091\)	28.2.0.a.1	$[]$
28322.v1	28322y1	28322.v	28322y	$1$	$1$	\( 2 \cdot 7^{2} \cdot 17^{2} \)	\( 2^{2} \cdot 7^{3} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$28$	$2$	$0$	$0.695671227$	$1$		$2$	$3456$	$-0.133027$	$206839/4$	$0.99742$	$2.31616$	$[1, 1, 1, -57, 139]$	\(y^2+xy+y=x^3+x^2-57x+139\)	28.2.0.a.1	$[(-1, 14)]$
28322.bd1	28322bg1	28322.bd	28322bg	$1$	$1$	\( 2 \cdot 7^{2} \cdot 17^{2} \)	\( 2^{2} \cdot 7^{3} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$28$	$2$	$0$	$1$	$1$		$0$	$58752$	$1.283581$	$206839/4$	$0.99742$	$3.97440$	$[1, 0, 0, -16479, 799133]$	\(y^2+xy=x^3-16479x+799133\)	28.2.0.a.1	$[]$
28322.be1	28322u1	28322.be	28322u	$1$	$1$	\( 2 \cdot 7^{2} \cdot 17^{2} \)	\( 2^{2} \cdot 7^{9} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$28$	$2$	$0$	$3.127138443$	$1$		$0$	$24192$	$0.839929$	$206839/4$	$0.99742$	$3.45507$	$[1, 0, 0, -2794, -56120]$	\(y^2+xy=x^3-2794x-56120\)	28.2.0.a.1	$[(-684/5, 2396/5)]$
226576.z1	226576q1	226576.z	226576q	$1$	$1$	\( 2^{4} \cdot 7^{2} \cdot 17^{2} \)	\( 2^{14} \cdot 7^{9} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$28$	$2$	$0$	$1.224951402$	$1$		$4$	$580608$	$1.533075$	$206839/4$	$0.99742$	$3.54697$	$[0, -1, 0, -44704, 3591680]$	\(y^2=x^3-x^2-44704x+3591680\)	28.2.0.a.1	$[(82, 686)]$
226576.ba1	226576r1	226576.ba	226576r	$1$	$1$	\( 2^{4} \cdot 7^{2} \cdot 17^{2} \)	\( 2^{14} \cdot 7^{3} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$28$	$2$	$0$	$1$	$1$		$0$	$1410048$	$1.976727$	$206839/4$	$0.99742$	$3.97872$	$[0, -1, 0, -263664, -51144512]$	\(y^2=x^3-x^2-263664x-51144512\)	28.2.0.a.1	$[]$
226576.co1	226576bs1	226576.co	226576bs	$1$	$1$	\( 2^{4} \cdot 7^{2} \cdot 17^{2} \)	\( 2^{14} \cdot 7^{3} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$28$	$2$	$0$	$3.167471925$	$1$		$0$	$82944$	$0.560121$	$206839/4$	$0.99742$	$2.60012$	$[0, 1, 0, -912, -10732]$	\(y^2=x^3+x^2-912x-10732\)	28.2.0.a.1	$[(-164/3, 350/3)]$
226576.cp1	226576bt1	226576.cp	226576bt	$1$	$1$	\( 2^{4} \cdot 7^{2} \cdot 17^{2} \)	\( 2^{14} \cdot 7^{9} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$28$	$2$	$0$	$1$	$1$		$0$	$9870336$	$2.949684$	$206839/4$	$0.99742$	$4.92557$	$[0, 1, 0, -12919552, 17568406708]$	\(y^2=x^3+x^2-12919552x+17568406708\)	28.2.0.a.1	$[]$
254898.w1	254898w1	254898.w	254898w	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17^{2} \)	\( 2^{2} \cdot 3^{6} \cdot 7^{3} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$28$	$2$	$0$	$1.014177641$	$1$		$4$	$103680$	$0.416280$	$206839/4$	$0.99742$	$2.43686$	$[1, -1, 0, -513, -4271]$	\(y^2+xy=x^3-x^2-513x-4271\)	28.2.0.a.1	$[(-12, 13)]$
254898.y1	254898y1	254898.y	254898y	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17^{2} \)	\( 2^{2} \cdot 3^{6} \cdot 7^{9} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$28$	$2$	$0$	$1$	$1$		$0$	$12337920$	$2.805840$	$206839/4$	$0.99742$	$4.74031$	$[1, -1, 0, -7267248, 7415305204]$	\(y^2+xy=x^3-x^2-7267248x+7415305204\)	28.2.0.a.1	$[]$
254898.cy1	254898cy1	254898.cy	254898cy	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17^{2} \)	\( 2^{2} \cdot 3^{6} \cdot 7^{9} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$28$	$2$	$0$	$2.159426982$	$1$		$2$	$725760$	$1.389235$	$206839/4$	$0.99742$	$3.37475$	$[1, -1, 0, -25146, 1515240]$	\(y^2+xy=x^3-x^2-25146x+1515240\)	28.2.0.a.1	$[(-110, 1770)]$
254898.dc1	254898dc1	254898.dc	254898dc	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17^{2} \)	\( 2^{2} \cdot 3^{6} \cdot 7^{3} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$28$	$2$	$0$	$1$	$1$		$0$	$1762560$	$1.832886$	$206839/4$	$0.99742$	$3.80241$	$[1, -1, 0, -148311, -21576591]$	\(y^2+xy=x^3-x^2-148311x-21576591\)	28.2.0.a.1	$[]$