Elliptic curve search results

Results (12 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
22440.a1	22440o2	22440.a	22440o	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{11} \cdot 3^{14} \cdot 5^{4} \cdot 11^{2} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$387072$	$2.255444$	$3724357985033255138/1777091206460625$	$0.98247$	$5.02925$	$[0, -1, 0, -410096, 42480396]$	\(y^2=x^3-x^2-410096x+42480396\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[]$
44880.cd1	44880k2	44880.cd	44880k	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{11} \cdot 3^{14} \cdot 5^{4} \cdot 11^{2} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$0.477753814$	$1$		$9$	$774144$	$2.255444$	$3724357985033255138/1777091206460625$	$0.98247$	$4.70381$	$[0, 1, 0, -410096, -42480396]$	\(y^2=x^3+x^2-410096x-42480396\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(-356, 7650)]$
67320.bc1	67320p2	67320.bc	67320p	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{11} \cdot 3^{20} \cdot 5^{4} \cdot 11^{2} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$7.404363395$	$1$		$3$	$3096576$	$2.804749$	$3724357985033255138/1777091206460625$	$0.98247$	$5.12518$	$[0, 0, 0, -3690867, -1143279826]$	\(y^2=x^3-3690867x-1143279826\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(80758, 22943250)]$
112200.cj1	112200ba2	112200.cj	112200ba	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{11} \cdot 3^{14} \cdot 5^{10} \cdot 11^{2} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$3.234568356$	$1$		$3$	$9289728$	$3.060162$	$3724357985033255138/1777091206460625$	$0.98247$	$5.16361$	$[0, 1, 0, -10252408, 5289544688]$	\(y^2=x^3+x^2-10252408x+5289544688\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(-1957, 133650)]$
134640.fg1	134640eo2	134640.fg	134640eo	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{11} \cdot 3^{20} \cdot 5^{4} \cdot 11^{2} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$6193152$	$2.804749$	$3724357985033255138/1777091206460625$	$0.98247$	$4.82438$	$[0, 0, 0, -3690867, 1143279826]$	\(y^2=x^3-3690867x+1143279826\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[]$
179520.dx1	179520cz2	179520.dx	179520cz	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{17} \cdot 3^{14} \cdot 5^{4} \cdot 11^{2} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1.122330903$	$1$		$7$	$6193152$	$2.602016$	$3724357985033255138/1777091206460625$	$0.98247$	$4.50857$	$[0, -1, 0, -1640385, -338202783]$	\(y^2=x^3-x^2-1640385x-338202783\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(-1051, 14960)]$
179520.gn1	179520en2	179520.gn	179520en	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{17} \cdot 3^{14} \cdot 5^{4} \cdot 11^{2} \cdot 17^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$0.301006619$	$1$		$43$	$6193152$	$2.602016$	$3724357985033255138/1777091206460625$	$0.98247$	$4.50857$	$[0, 1, 0, -1640385, 338202783]$	\(y^2=x^3+x^2-1640385x+338202783\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(1323, 22032), (-54, 20655)]$
224400.bd1	224400hy2	224400.bd	224400hy	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{11} \cdot 3^{14} \cdot 5^{10} \cdot 11^{2} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$2.506426338$	$1$		$5$	$18579456$	$3.060162$	$3724357985033255138/1777091206460625$	$0.98247$	$4.87312$	$[0, -1, 0, -10252408, -5289544688]$	\(y^2=x^3-x^2-10252408x-5289544688\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(8032, 656100)]$
246840.n1	246840n2	246840.n	246840n	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{11} \cdot 3^{14} \cdot 5^{4} \cdot 11^{8} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$4$	$2$	$1$	$46448640$	$3.454391$	$3724357985033255138/1777091206460625$	$0.98247$	$5.21672$	$[0, -1, 0, -49621656, -56342920500]$	\(y^2=x^3-x^2-49621656x-56342920500\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[]$
336600.cy1	336600cy2	336600.cy	336600cy	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{11} \cdot 3^{20} \cdot 5^{10} \cdot 11^{2} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$74317824$	$3.609470$	$3724357985033255138/1777091206460625$	$0.98247$	$5.23581$	$[0, 0, 0, -92271675, -142909978250]$	\(y^2=x^3-92271675x-142909978250\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[]$
381480.cx1	381480cx2	381480.cx	381480cx	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \)	\( 2^{11} \cdot 3^{14} \cdot 5^{4} \cdot 11^{2} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$111476736$	$3.672050$	$3724357985033255138/1777091206460625$	$0.98247$	$5.24325$	$[0, 1, 0, -118517840, 207995078688]$	\(y^2=x^3+x^2-118517840x+207995078688\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[]$
493680.ee1	493680ee2	493680.ee	493680ee	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{11} \cdot 3^{14} \cdot 5^{4} \cdot 11^{8} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1.169502206$	$1$		$9$	$92897280$	$3.454391$	$3724357985033255138/1777091206460625$	$0.98247$	$4.94090$	$[0, 1, 0, -49621656, 56342920500]$	\(y^2=x^3+x^2-49621656x+56342920500\)	2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.?	$[(-3414, 431244)]$