Elliptic curve search results

Results (9 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
10005.e1	10005a1	10005.e	10005a	$1$	$1$	\( 3 \cdot 5 \cdot 23 \cdot 29 \)	\( 3^{3} \cdot 5 \cdot 23 \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$20010$	$2$	$0$	$0.908072202$	$1$		$4$	$1632$	$-0.210038$	$14959673344/90045$	$0.80703$	$2.54359$	$[0, -1, 1, -51, -124]$	\(y^2+y=x^3-x^2-51x-124\)	20010.2.0.?	$[(-4, 0)]$
30015.g1	30015p1	30015.g	30015p	$1$	$1$	\( 3^{2} \cdot 5 \cdot 23 \cdot 29 \)	\( 3^{9} \cdot 5 \cdot 23 \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20010$	$2$	$0$	$0.340098846$	$1$		$4$	$13056$	$0.339268$	$14959673344/90045$	$0.80703$	$2.91192$	$[0, 0, 1, -462, 3802]$	\(y^2+y=x^3-462x+3802\)	20010.2.0.?	$[(10, 13)]$
50025.s1	50025r1	50025.s	50025r	$1$	$1$	\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \)	\( 3^{3} \cdot 5^{7} \cdot 23 \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20010$	$2$	$0$	$1.551924028$	$1$		$0$	$39168$	$0.594681$	$14959673344/90045$	$0.80703$	$3.05771$	$[0, 1, 1, -1283, -18031]$	\(y^2+y=x^3+x^2-1283x-18031\)	20010.2.0.?	$[(-83/2, 71/2)]$
150075.bg1	150075y1	150075.bg	150075y	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 23 \cdot 29 \)	\( 3^{9} \cdot 5^{7} \cdot 23 \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20010$	$2$	$0$	$1.056515920$	$1$		$2$	$313344$	$1.143988$	$14959673344/90045$	$0.80703$	$3.32891$	$[0, 0, 1, -11550, 475281]$	\(y^2+y=x^3-11550x+475281\)	20010.2.0.?	$[(35, 337)]$
160080.cd1	160080y1	160080.cd	160080y	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \cdot 29 \)	\( 2^{12} \cdot 3^{3} \cdot 5 \cdot 23 \cdot 29 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20010$	$2$	$0$	$1$	$1$		$0$	$117504$	$0.483109$	$14959673344/90045$	$0.80703$	$2.64919$	$[0, 1, 0, -821, 8739]$	\(y^2=x^3+x^2-821x+8739\)	20010.2.0.?	$[]$
230115.j1	230115j1	230115.j	230115j	$1$	$1$	\( 3 \cdot 5 \cdot 23^{2} \cdot 29 \)	\( 3^{3} \cdot 5 \cdot 23^{7} \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20010$	$2$	$0$	$2.304400659$	$1$		$0$	$861696$	$1.357710$	$14959673344/90045$	$0.80703$	$3.42139$	$[0, -1, 1, -27155, 1722458]$	\(y^2+y=x^3-x^2-27155x+1722458\)	20010.2.0.?	$[(808/3, 251/3)]$
290145.q1	290145q1	290145.q	290145q	$1$	$1$	\( 3 \cdot 5 \cdot 23 \cdot 29^{2} \)	\( 3^{3} \cdot 5 \cdot 23 \cdot 29^{7} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20010$	$2$	$0$	$2.738279418$	$1$		$6$	$1370880$	$1.473610$	$14959673344/90045$	$0.80703$	$3.46891$	$[0, 1, 1, -43171, -3448949]$	\(y^2+y=x^3+x^2-43171x-3448949\)	20010.2.0.?	$[(251, 1261), (-1871/4, 7537/4)]$
480240.el1	480240el1	480240.el	480240el	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \)	\( 2^{12} \cdot 3^{9} \cdot 5 \cdot 23 \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20010$	$2$	$0$	$12.47949710$	$1$		$0$	$940032$	$1.032415$	$14959673344/90045$	$0.80703$	$2.93059$	$[0, 0, 0, -7392, -243344]$	\(y^2=x^3-7392x-243344\)	20010.2.0.?	$[(-1362655/163, 127460583/163)]$
490245.bk1	490245bk1	490245.bk	490245bk	$1$	$1$	\( 3 \cdot 5 \cdot 7^{2} \cdot 23 \cdot 29 \)	\( 3^{3} \cdot 5 \cdot 7^{6} \cdot 23 \cdot 29 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20010$	$2$	$0$	$1$	$1$		$0$	$381888$	$0.762918$	$14959673344/90045$	$0.80703$	$2.67916$	$[0, 1, 1, -2515, 47464]$	\(y^2+y=x^3+x^2-2515x+47464\)	20010.2.0.?	$[]$