Elliptic curve search results

Results (3 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
28571.a1	28571a1	28571.a	28571a	$1$	$1$	\( 28571 \)	\( -28571 \)	$3$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$57142$	$2$	$0$	$1.223126117$	$1$		$24$	$4240$	$-0.458493$	$-8998912/28571$	$0.63894$	$1.74289$	$[0, -1, 1, -4, 10]$	\(y^2+y=x^3-x^2-4x+10\)	57142.2.0.?	$[(1, 2), (2, 2), (-1, 3)]$
257139.b1	257139b1	257139.b	257139b	$1$	$1$	\( 3^{2} \cdot 28571 \)	\( - 3^{6} \cdot 28571 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$57142$	$2$	$0$	$5.349281569$	$4$	$2$	$0$	$127200$	$0.090814$	$-8998912/28571$	$0.63894$	$1.96462$	$[0, 0, 1, -39, -239]$	\(y^2+y=x^3-39x-239\)	57142.2.0.?	$[(137/4, 443/4)]$
457136.a1	457136a1	457136.a	457136a	$1$	$1$	\( 2^{4} \cdot 28571 \)	\( - 2^{12} \cdot 28571 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$57142$	$2$	$0$	$3.344112708$	$4$	$2$	$2$	$169600$	$0.234655$	$-8998912/28571$	$0.63894$	$2.01033$	$[0, 1, 0, -69, -589]$	\(y^2=x^3+x^2-69x-589\)	57142.2.0.?	$[(22, 95)]$