Elliptic curve search results

Results (8 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
439569.l1	439569l1	439569.l	439569l	$1$	$1$	\( 3^{2} \cdot 13^{2} \cdot 17^{2} \)	\( 3^{9} \cdot 13^{10} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$2$	$0$	$1$	$1$		$0$	$82487808$	$3.658600$	$77571$	$0.79144$	$5.34586$	$[1, -1, 1, -236790326, 1386821739970]$	\(y^2+xy+y=x^3-x^2-236790326x+1386821739970\)	12.2.0.a.1	$[]$
439569.p1	439569p1	439569.p	439569p	$1$	$1$	\( 3^{2} \cdot 13^{2} \cdot 17^{2} \)	\( 3^{3} \cdot 13^{4} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$2$	$0$	$1$	$1$		$0$	$2115072$	$1.826820$	$77571$	$0.79144$	$3.65414$	$[1, -1, 1, -155681, -23339130]$	\(y^2+xy+y=x^3-x^2-155681x-23339130\)	12.2.0.a.1	$[]$
439569.y1	439569y1	439569.y	439569y	$1$	$1$	\( 3^{2} \cdot 13^{2} \cdot 17^{2} \)	\( 3^{3} \cdot 13^{4} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$2$	$0$	$1.702845414$	$1$		$4$	$124416$	$0.410214$	$77571$	$0.79144$	$2.34586$	$[1, -1, 1, -539, -4624]$	\(y^2+xy+y=x^3-x^2-539x-4624\)	12.2.0.a.1	$[(-12, 7)]$
439569.bd1	439569bd1	439569.bd	439569bd	$1$	$1$	\( 3^{2} \cdot 13^{2} \cdot 17^{2} \)	\( 3^{9} \cdot 13^{10} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$2$	$0$	$10.57686984$	$1$		$0$	$4852224$	$2.241993$	$77571$	$0.79144$	$4.03757$	$[1, -1, 1, -819344, 282468736]$	\(y^2+xy+y=x^3-x^2-819344x+282468736\)	12.2.0.a.1	$[(246670/23, 12723859/23)]$
439569.bu1	439569bu1	439569.bu	439569bu	$1$	$1$	\( 3^{2} \cdot 13^{2} \cdot 17^{2} \)	\( 3^{9} \cdot 13^{4} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$2$	$0$	$3.142634421$	$1$		$2$	$373248$	$0.959520$	$77571$	$0.79144$	$2.85316$	$[1, -1, 0, -4848, 129689]$	\(y^2+xy=x^3-x^2-4848x+129689\)	12.2.0.a.1	$[(-80, 67)]$
439569.bx1	439569bx1	439569.bx	439569bx	$1$	$1$	\( 3^{2} \cdot 13^{2} \cdot 17^{2} \)	\( 3^{3} \cdot 13^{10} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$2$	$0$	$16.45947438$	$1$		$0$	$1617408$	$1.692688$	$77571$	$0.79144$	$3.53027$	$[1, -1, 0, -91038, -10431459]$	\(y^2+xy=x^3-x^2-91038x-10431459\)	12.2.0.a.1	$[(-32116980/443, 29125709013/443)]$
439569.cc1	439569cc1	439569.cc	439569cc	$1$	$1$	\( 3^{2} \cdot 13^{2} \cdot 17^{2} \)	\( 3^{3} \cdot 13^{10} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$2$	$0$	$1$	$1$		$0$	$27495936$	$3.109295$	$77571$	$0.79144$	$4.83855$	$[1, -1, 0, -26310036, -51354998135]$	\(y^2+xy=x^3-x^2-26310036x-51354998135\)	12.2.0.a.1	$[]$
439569.cf1	439569cf1	439569.cf	439569cf	$1$	$1$	\( 3^{2} \cdot 13^{2} \cdot 17^{2} \)	\( 3^{9} \cdot 13^{4} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$2$	$0$	$1$	$1$		$0$	$6345216$	$2.376125$	$77571$	$0.79144$	$4.16145$	$[1, -1, 0, -1401126, 631557629]$	\(y^2+xy=x^3-x^2-1401126x+631557629\)	12.2.0.a.1	$[]$