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
86190.e2	86190j2	86190.e	86190j	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2 \cdot 3^{4} \cdot 5^{2} \cdot 13^{3} \cdot 17^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8840$	$12$	$0$	$2.691600831$	$1$		$12$	$49152$	$0.485362$	$-16194277/1170450$	$0.90187$	$2.56333$	$[1, 1, 0, -68, -2478]$	\(y^2+xy=x^3+x^2-68x-2478\)	2.3.0.a.1, 104.6.0.?, 680.6.0.?, 4420.6.0.?, 8840.12.0.?	$[(31, 147), (19, 50)]$
86190.ce2	86190cf2	86190.ce	86190cf	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2 \cdot 3^{4} \cdot 5^{2} \cdot 13^{9} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8840$	$12$	$0$	$1$	$4$	$2$	$0$	$638976$	$1.767836$	$-16194277/1170450$	$0.90187$	$3.91754$	$[1, 1, 1, -11580, -5386425]$	\(y^2+xy+y=x^3+x^2-11580x-5386425\)	2.3.0.a.1, 104.6.0.?, 680.6.0.?, 4420.6.0.?, 8840.12.0.?	$[]$
258570.z2	258570z2	258570.z	258570z	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2 \cdot 3^{10} \cdot 5^{2} \cdot 13^{9} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8840$	$12$	$0$	$1$	$1$		$0$	$5111808$	$2.317142$	$-16194277/1170450$	$0.90187$	$4.10111$	$[1, -1, 0, -104220, 145329250]$	\(y^2+xy=x^3-x^2-104220x+145329250\)	2.3.0.a.1, 104.6.0.?, 680.6.0.?, 4420.6.0.?, 8840.12.0.?	$[]$
258570.ex2	258570ex2	258570.ex	258570ex	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2 \cdot 3^{10} \cdot 5^{2} \cdot 13^{3} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8840$	$12$	$0$	$1$	$1$		$0$	$393216$	$1.034668$	$-16194277/1170450$	$0.90187$	$2.86627$	$[1, -1, 1, -617, 66291]$	\(y^2+xy+y=x^3-x^2-617x+66291\)	2.3.0.a.1, 104.6.0.?, 680.6.0.?, 4420.6.0.?, 8840.12.0.?	$[]$
430950.do2	430950do2	430950.do	430950do	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( - 2 \cdot 3^{4} \cdot 5^{8} \cdot 13^{9} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8840$	$12$	$0$	$1$	$1$		$0$	$15335424$	$2.572556$	$-16194277/1170450$	$0.90187$	$4.17588$	$[1, 0, 1, -289501, -672724102]$	\(y^2+xy+y=x^3-289501x-672724102\)	2.3.0.a.1, 104.6.0.?, 680.6.0.?, 4420.6.0.?, 8840.12.0.?	$[]$
430950.hr2	430950hr2	430950.hr	430950hr	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( - 2 \cdot 3^{4} \cdot 5^{8} \cdot 13^{3} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8840$	$12$	$0$	$3.857019006$	$1$		$0$	$1179648$	$1.290081$	$-16194277/1170450$	$0.90187$	$2.98966$	$[1, 0, 0, -1713, -306333]$	\(y^2+xy=x^3-1713x-306333\)	2.3.0.a.1, 104.6.0.?, 680.6.0.?, 4420.6.0.?, 8840.12.0.?	$[(2003/2, 87247/2)]$