Elliptic curve search results

Results (8 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
45240.p4	45240s3	45240.p	45240s	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{11} \cdot 3 \cdot 5 \cdot 13^{8} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$3480$	$48$	$0$	$8.186299080$	$4$	$2$	$3$	$204800$	$1.532913$	$39888803452318/354842863635$	$0.98722$	$3.88135$	$[0, 1, 0, 9040, 1257120]$	\(y^2=x^3+x^2+9040x+1257120\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.y.1.6, 580.12.0.?, $\ldots$	$[(3519, 208860)]$
90480.bc4	90480g3	90480.bc	90480g	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{11} \cdot 3 \cdot 5 \cdot 13^{8} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$3480$	$48$	$0$	$7.186933423$	$4$	$2$	$1$	$409600$	$1.532913$	$39888803452318/354842863635$	$0.98722$	$3.64562$	$[0, -1, 0, 9040, -1257120]$	\(y^2=x^3-x^2+9040x-1257120\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.y.1.14, 580.12.0.?, $\ldots$	$[(1954/3, 89110/3)]$
135720.a4	135720y4	135720.a	135720y	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{11} \cdot 3^{7} \cdot 5 \cdot 13^{8} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$3480$	$48$	$0$	$1$	$4$	$2$	$1$	$1638400$	$2.082218$	$39888803452318/354842863635$	$0.98722$	$4.07829$	$[0, 0, 0, 81357, -33860882]$	\(y^2=x^3+81357x-33860882\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.y.1.8, 1160.24.0.?, $\ldots$	$[]$
226200.bc4	226200cb3	226200.bc	226200cb	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 29 \)	\( - 2^{11} \cdot 3 \cdot 5^{7} \cdot 13^{8} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3480$	$48$	$0$	$6.520109169$	$1$		$1$	$4915200$	$2.337631$	$39888803452318/354842863635$	$0.98722$	$4.15791$	$[0, -1, 0, 225992, 156688012]$	\(y^2=x^3-x^2+225992x+156688012\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0-4.c.1.5, 116.12.0.?, $\ldots$	$[(-387/2, 92575/2)]$
271440.ci4	271440ci3	271440.ci	271440ci	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{11} \cdot 3^{7} \cdot 5 \cdot 13^{8} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$3480$	$48$	$0$	$1$	$4$	$2$	$1$	$3276800$	$2.082218$	$39888803452318/354842863635$	$0.98722$	$3.85235$	$[0, 0, 0, 81357, 33860882]$	\(y^2=x^3+81357x+33860882\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.y.1.16, 1160.24.0.?, $\ldots$	$[]$
361920.c4	361920c3	361920.c	361920c	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{17} \cdot 3 \cdot 5 \cdot 13^{8} \cdot 29 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$3480$	$48$	$0$	$10.12361229$	$1$		$9$	$3276800$	$1.879486$	$39888803452318/354842863635$	$0.98722$	$3.57569$	$[0, -1, 0, 36159, 10020801]$	\(y^2=x^3-x^2+36159x+10020801\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.1, 24.24.0-24.y.1.10, $\ldots$	$[(8, 3211), (-1571/6, 624455/6)]$
361920.eo4	361920eo4	361920.eo	361920eo	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{17} \cdot 3 \cdot 5 \cdot 13^{8} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$3480$	$48$	$0$	$1$	$4$	$2$	$1$	$3276800$	$1.879486$	$39888803452318/354842863635$	$0.98722$	$3.57569$	$[0, 1, 0, 36159, -10020801]$	\(y^2=x^3+x^2+36159x-10020801\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.y.1.2, $\ldots$	$[]$
452400.ct4	452400ct4	452400.ct	452400ct	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 29 \)	\( - 2^{11} \cdot 3 \cdot 5^{7} \cdot 13^{8} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3480$	$48$	$0$	$1$	$1$		$1$	$9830400$	$2.337631$	$39888803452318/354842863635$	$0.98722$	$3.93660$	$[0, 1, 0, 225992, -156688012]$	\(y^2=x^3+x^2+225992x-156688012\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0-4.c.1.5, 116.12.0.?, $\ldots$	$[]$