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
25071.a1	25071a1	25071.a	25071a	$1$	$1$	\( 3 \cdot 61 \cdot 137 \)	\( 3^{4} \cdot 61 \cdot 137 \)	$3$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$16714$	$2$	$0$	$0.880641968$	$1$		$32$	$8960$	$-0.184552$	$1593413632/676917$	$0.74155$	$2.09183$	$[0, -1, 1, -24, -16]$	\(y^2+y=x^3-x^2-24x-16\)	16714.2.0.?	$[(-3, 4), (6, 4), (-4, 0)]$
75213.c1	75213c1	75213.c	75213c	$1$	$1$	\( 3^{2} \cdot 61 \cdot 137 \)	\( 3^{10} \cdot 61 \cdot 137 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$16714$	$2$	$0$	$4.670248623$	$1$		$0$	$71680$	$0.364755$	$1593413632/676917$	$0.74155$	$2.47423$	$[0, 0, 1, -219, 643]$	\(y^2+y=x^3-219x+643\)	16714.2.0.?	$[(89/2, 655/2)]$
401136.f1	401136f1	401136.f	401136f	$1$	$1$	\( 2^{4} \cdot 3 \cdot 61 \cdot 137 \)	\( 2^{12} \cdot 3^{4} \cdot 61 \cdot 137 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$16714$	$2$	$0$	$2.232254751$	$1$		$2$	$358400$	$0.508595$	$1593413632/676917$	$0.74155$	$2.28699$	$[0, 1, 0, -389, 1395]$	\(y^2=x^3+x^2-389x+1395\)	16714.2.0.?	$[(22, 63)]$