Elliptic curve search results

Results (14 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
43680.m1	43680bh1	43680.m	43680bh	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 3^{5} \cdot 5^{3} \cdot 7 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$4.465889736$	$1$		$3$	$130560$	$1.261156$	$614983729942899136/35933625$	$0.97135$	$4.22281$	$[0, -1, 0, -70866, 7284816]$	\(y^2=x^3-x^2-70866x+7284816\)	2.3.0.a.1, 104.6.0.?, 210.6.0.?, 10920.12.0.?	$[(203, 1106)]$
43680.bg1	43680l1	43680.bg	43680l	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 3^{5} \cdot 5^{3} \cdot 7 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$1$	$130560$	$1.261156$	$614983729942899136/35933625$	$0.97135$	$4.22281$	$[0, 1, 0, -70866, -7284816]$	\(y^2=x^3+x^2-70866x-7284816\)	2.3.0.a.1, 104.6.0.?, 210.6.0.?, 10920.12.0.?	$[]$
87360.cq1	87360bc1	87360.cq	87360bc	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{12} \cdot 3^{5} \cdot 5^{3} \cdot 7 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$4.940090449$	$1$		$3$	$522240$	$1.607731$	$614983729942899136/35933625$	$0.97135$	$4.33108$	$[0, -1, 0, -283465, -57995063]$	\(y^2=x^3-x^2-283465x-57995063\)	2.3.0.a.1, 104.6.0.?, 210.6.0.?, 10920.12.0.?	$[(849, 17680)]$
87360.gp1	87360du1	87360.gp	87360du	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{12} \cdot 3^{5} \cdot 5^{3} \cdot 7 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$0.367821224$	$1$		$9$	$522240$	$1.607731$	$614983729942899136/35933625$	$0.97135$	$4.33108$	$[0, 1, 0, -283465, 57995063]$	\(y^2=x^3+x^2-283465x+57995063\)	2.3.0.a.1, 104.6.0.?, 210.6.0.?, 10920.12.0.?	$[(311, 120)]$
131040.dg1	131040o1	131040.dg	131040o	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 3^{11} \cdot 5^{3} \cdot 7 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$1$	$1044480$	$1.810463$	$614983729942899136/35933625$	$0.97135$	$4.38851$	$[0, 0, 0, -637797, 196052236]$	\(y^2=x^3-637797x+196052236\)	2.3.0.a.1, 104.6.0.?, 210.6.0.?, 10920.12.0.?	$[]$
131040.dk1	131040by1	131040.dk	131040by	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 3^{11} \cdot 5^{3} \cdot 7 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$1$	$1044480$	$1.810463$	$614983729942899136/35933625$	$0.97135$	$4.38851$	$[0, 0, 0, -637797, -196052236]$	\(y^2=x^3-637797x-196052236\)	2.3.0.a.1, 104.6.0.?, 210.6.0.?, 10920.12.0.?	$[]$
218400.bj1	218400bm1	218400.bj	218400bm	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 3^{5} \cdot 5^{9} \cdot 7 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$1$	$3133440$	$2.065876$	$614983729942899136/35933625$	$0.97135$	$4.45547$	$[0, -1, 0, -1771658, -907058688]$	\(y^2=x^3-x^2-1771658x-907058688\)	2.3.0.a.1, 104.6.0.?, 210.6.0.?, 10920.12.0.?	$[]$
218400.ej1	218400ec1	218400.ej	218400ec	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 3^{5} \cdot 5^{9} \cdot 7 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$2.212961042$	$1$		$5$	$3133440$	$2.065876$	$614983729942899136/35933625$	$0.97135$	$4.45547$	$[0, 1, 0, -1771658, 907058688]$	\(y^2=x^3+x^2-1771658x+907058688\)	2.3.0.a.1, 104.6.0.?, 210.6.0.?, 10920.12.0.?	$[(742, 1248)]$
262080.h1	262080h1	262080.h	262080h	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{12} \cdot 3^{11} \cdot 5^{3} \cdot 7 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1.035915054$	$1$		$7$	$4177920$	$2.157036$	$614983729942899136/35933625$	$0.97135$	$4.47804$	$[0, 0, 0, -2551188, 1568417888]$	\(y^2=x^3-2551188x+1568417888\)	2.3.0.a.1, 104.6.0.?, 210.6.0.?, 10920.12.0.?	$[(916, 324)]$
262080.hd1	262080hd1	262080.hd	262080hd	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{12} \cdot 3^{11} \cdot 5^{3} \cdot 7 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$9$	$3$	$1$	$4177920$	$2.157036$	$614983729942899136/35933625$	$0.97135$	$4.47804$	$[0, 0, 0, -2551188, -1568417888]$	\(y^2=x^3-2551188x-1568417888\)	2.3.0.a.1, 104.6.0.?, 210.6.0.?, 10920.12.0.?	$[]$
305760.cb1	305760cb1	305760.cb	305760cb	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{6} \cdot 3^{5} \cdot 5^{3} \cdot 7^{7} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$1$	$6266880$	$2.234112$	$614983729942899136/35933625$	$0.97135$	$4.49661$	$[0, -1, 0, -3472450, 2491747000]$	\(y^2=x^3-x^2-3472450x+2491747000\)	2.3.0.a.1, 104.6.0.?, 210.6.0.?, 10920.12.0.?	$[]$
305760.hr1	305760hr1	305760.hr	305760hr	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{6} \cdot 3^{5} \cdot 5^{3} \cdot 7^{7} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$1$	$6266880$	$2.234112$	$614983729942899136/35933625$	$0.97135$	$4.49661$	$[0, 1, 0, -3472450, -2491747000]$	\(y^2=x^3+x^2-3472450x-2491747000\)	2.3.0.a.1, 104.6.0.?, 210.6.0.?, 10920.12.0.?	$[]$
436800.b1	436800b1	436800.b	436800b	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{12} \cdot 3^{5} \cdot 5^{9} \cdot 7 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$2.239459294$	$1$		$3$	$12533760$	$2.412449$	$614983729942899136/35933625$	$0.97135$	$4.53790$	$[0, -1, 0, -7086633, 7263556137]$	\(y^2=x^3-x^2-7086633x+7263556137\)	2.3.0.a.1, 104.6.0.?, 210.6.0.?, 10920.12.0.?	$[(1357, 12000)]$
436800.ui1	436800ui1	436800.ui	436800ui	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{12} \cdot 3^{5} \cdot 5^{9} \cdot 7 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$3.312401837$	$1$		$3$	$12533760$	$2.412449$	$614983729942899136/35933625$	$0.97135$	$4.53790$	$[0, 1, 0, -7086633, -7263556137]$	\(y^2=x^3+x^2-7086633x-7263556137\)	2.3.0.a.1, 104.6.0.?, 210.6.0.?, 10920.12.0.?	$[(3143, 39000)]$