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
9249.c1	9249b1	9249.c	9249b	$1$	$1$	\( 3 \cdot 3083 \)	\( - 3^{2} \cdot 3083 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$6166$	$2$	$0$	$1$	$4$	$2$	$0$	$3472$	$-0.301915$	$-5304438784/27747$	$0.77173$	$2.45293$	$[0, 1, 1, -36, -97]$	\(y^2+y=x^3+x^2-36x-97\)	6166.2.0.?	$[]$
27747.a1	27747c1	27747.a	27747c	$1$	$1$	\( 3^{2} \cdot 3083 \)	\( - 3^{8} \cdot 3083 \)	$3$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6166$	$2$	$0$	$0.494966291$	$1$		$38$	$27776$	$0.247391$	$-5304438784/27747$	$0.77173$	$2.83382$	$[0, 0, 1, -327, 2286]$	\(y^2+y=x^3-327x+2286\)	6166.2.0.?	$[(8, 13), (11, 4), (41/2, 23/2)]$
147984.h1	147984g1	147984.h	147984g	$1$	$1$	\( 2^{4} \cdot 3 \cdot 3083 \)	\( - 2^{12} \cdot 3^{2} \cdot 3083 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6166$	$2$	$0$	$2.327028638$	$1$		$2$	$138880$	$0.391232$	$-5304438784/27747$	$0.77173$	$2.58034$	$[0, -1, 0, -581, 5613]$	\(y^2=x^3-x^2-581x+5613\)	6166.2.0.?	$[(12, 15)]$
231225.a1	231225a1	231225.a	231225a	$1$	$1$	\( 3 \cdot 5^{2} \cdot 3083 \)	\( - 3^{2} \cdot 5^{6} \cdot 3083 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6166$	$2$	$0$	$1$	$1$		$0$	$277760$	$0.502804$	$-5304438784/27747$	$0.77173$	$2.59550$	$[0, -1, 1, -908, -10282]$	\(y^2+y=x^3-x^2-908x-10282\)	6166.2.0.?	$[]$
443952.b1	443952b1	443952.b	443952b	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 3083 \)	\( - 2^{12} \cdot 3^{8} \cdot 3083 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6166$	$2$	$0$	$5.186267389$	$1$		$2$	$1111040$	$0.940538$	$-5304438784/27747$	$0.77173$	$2.86925$	$[0, 0, 0, -5232, -146320]$	\(y^2=x^3-5232x-146320\)	6166.2.0.?	$[(137, 1307)]$
453201.g1	453201g1	453201.g	453201g	$1$	$1$	\( 3 \cdot 7^{2} \cdot 3083 \)	\( - 3^{2} \cdot 7^{6} \cdot 3083 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6166$	$2$	$0$	$4.039555949$	$1$		$0$	$1145760$	$0.671040$	$-5304438784/27747$	$0.77173$	$2.61640$	$[0, -1, 1, -1780, 29637]$	\(y^2+y=x^3-x^2-1780x+29637\)	6166.2.0.?	$[(101/2, 95/2)]$