Elliptic curve search results

Results (6 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
86190.r1	86190m1	86190.r	86190m	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2 \cdot 3 \cdot 5^{5} \cdot 13^{8} \cdot 17^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$1597440$	$2.153969$	$29024858759/1566018750$	$0.94531$	$4.32365$	$[1, 1, 0, 59823, -54061509]$	\(y^2+xy=x^3+x^2+59823x-54061509\)	120.2.0.?	$[]$
86190.bp1	86190br1	86190.bp	86190br	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2 \cdot 3 \cdot 5^{5} \cdot 13^{2} \cdot 17^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$122880$	$0.871494$	$29024858759/1566018750$	$0.94531$	$2.96944$	$[1, 1, 1, 354, -24471]$	\(y^2+xy+y=x^3+x^2+354x-24471\)	120.2.0.?	$[]$
258570.bt1	258570bt1	258570.bt	258570bt	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2 \cdot 3^{7} \cdot 5^{5} \cdot 13^{2} \cdot 17^{4} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$0.291849516$	$1$		$18$	$983040$	$1.420801$	$29024858759/1566018750$	$0.94531$	$3.23659$	$[1, -1, 0, 3186, 663898]$	\(y^2+xy=x^3-x^2+3186x+663898\)	120.2.0.?	$[(137, 1844), (-67, 416)]$
258570.dz1	258570dz1	258570.dz	258570dz	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2 \cdot 3^{7} \cdot 5^{5} \cdot 13^{8} \cdot 17^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$4$	$2$	$0$	$12779520$	$2.703274$	$29024858759/1566018750$	$0.94531$	$4.47142$	$[1, -1, 1, 538402, 1460199147]$	\(y^2+xy+y=x^3-x^2+538402x+1460199147\)	120.2.0.?	$[]$
430950.ee1	430950ee1	430950.ee	430950ee	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( - 2 \cdot 3 \cdot 5^{11} \cdot 13^{2} \cdot 17^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$5.508483779$	$1$		$0$	$2949120$	$1.676214$	$29024858759/1566018750$	$0.94531$	$3.34539$	$[1, 0, 1, 8849, -3076552]$	\(y^2+xy+y=x^3+8849x-3076552\)	120.2.0.?	$[(9508/3, 915412/3)]$
430950.ha1	430950ha1	430950.ha	430950ha	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( - 2 \cdot 3 \cdot 5^{11} \cdot 13^{8} \cdot 17^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$38338560$	$2.958687$	$29024858759/1566018750$	$0.94531$	$4.53161$	$[1, 0, 0, 1495562, -6760679758]$	\(y^2+xy=x^3+1495562x-6760679758\)	120.2.0.?	$[]$