Elliptic curve search results

Results (10 matches)

  Download displayed columns for results to

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
35490.bk1	35490bo1	35490.bk	35490bo	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{7} \cdot 7 \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$0.070087345$	$1$		$12$	$67200$	$0.988573$	$-58153757003329/2126250000$	$0.94794$	$3.52059$	$[1, 0, 1, -4463, 117938]$	\(y^2+xy+y=x^3-4463x+117938\)	420.2.0.?	$[(-21, 460)]$
35490.dh1	35490de1	35490.dh	35490de	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{7} \cdot 7 \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$1$	$1$		$0$	$873600$	$2.271046$	$-58153757003329/2126250000$	$0.94794$	$4.98950$	$[1, 0, 0, -754166, 259864500]$	\(y^2+xy=x^3-754166x+259864500\)	420.2.0.?	$[ ]$
106470.cr1	106470cv1	106470.cr	106470cv	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( - 2^{4} \cdot 3^{11} \cdot 5^{7} \cdot 7 \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$1$	$1$		$0$	$6988800$	$2.820354$	$-58153757003329/2126250000$	$0.94794$	$5.08540$	$[1, -1, 0, -6787494, -7016341500]$	\(y^2+xy=x^3-x^2-6787494x-7016341500\)	420.2.0.?	$[ ]$
106470.dx1	106470ed1	106470.dx	106470ed	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( - 2^{4} \cdot 3^{11} \cdot 5^{7} \cdot 7 \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$3.789466966$	$1$		$2$	$537600$	$1.537878$	$-58153757003329/2126250000$	$0.94794$	$3.75591$	$[1, -1, 1, -40163, -3184333]$	\(y^2+xy+y=x^3-x^2-40163x-3184333\)	420.2.0.?	$[(765, 19948)]$
177450.bf1	177450kd1	177450.bf	177450kd	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{13} \cdot 7 \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$3.204938413$	$1$		$2$	$20966400$	$3.075768$	$-58153757003329/2126250000$	$0.94794$	$5.12405$	$[1, 1, 0, -18854150, 32483062500]$	\(y^2+xy=x^3+x^2-18854150x+32483062500\)	420.2.0.?	$[(-5000, 44750)]$
177450.gw1	177450dp1	177450.gw	177450dp	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{13} \cdot 7 \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$1.384490550$	$1$		$4$	$1612800$	$1.793291$	$-58153757003329/2126250000$	$0.94794$	$3.85075$	$[1, 1, 1, -111563, 14742281]$	\(y^2+xy+y=x^3+x^2-111563x+14742281\)	420.2.0.?	$[(-355, 3302)]$
248430.e1	248430e1	248430.e	248430e	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{7} \cdot 7^{7} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$1$	$1$		$0$	$3225600$	$1.961527$	$-58153757003329/2126250000$	$0.94794$	$3.90896$	$[1, 1, 0, -218663, -40671483]$	\(y^2+xy=x^3+x^2-218663x-40671483\)	420.2.0.?	$[ ]$
248430.hs1	248430hs1	248430.hs	248430hs	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{7} \cdot 7^{7} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$1$	$1$		$0$	$41932800$	$3.244003$	$-58153757003329/2126250000$	$0.94794$	$5.14778$	$[1, 1, 1, -36954135, -89170477635]$	\(y^2+xy+y=x^3+x^2-36954135x-89170477635\)	420.2.0.?	$[ ]$
283920.f1	283920f1	283920.f	283920f	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \)	\( - 2^{16} \cdot 3^{5} \cdot 5^{7} \cdot 7 \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$1$	$1$		$0$	$20966400$	$2.964195$	$-58153757003329/2126250000$	$0.94794$	$4.82563$	$[0, -1, 0, -12066656, -16631328000]$	\(y^2=x^3-x^2-12066656x-16631328000\)	420.2.0.?	$[ ]$
283920.dy1	283920dy1	283920.dy	283920dy	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \)	\( - 2^{16} \cdot 3^{5} \cdot 5^{7} \cdot 7 \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$1$	$1$		$0$	$1612800$	$1.681721$	$-58153757003329/2126250000$	$0.94794$	$3.59999$	$[0, -1, 0, -71400, -7548048]$	\(y^2=x^3-x^2-71400x-7548048\)	420.2.0.?	$[ ]$

  Download displayed columns for results to