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
11310.c3	11310c1	11310.c	11310c	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.6	2B	$3016$	$48$	$0$	$0.988849977$	$1$		$19$	$12288$	$0.497593$	$615882348586441/21715200$	$0.90301$	$3.64861$	$[1, 1, 0, -1772, 27984]$	\(y^2+xy=x^3+x^2-1772x+27984\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 52.12.0-4.c.1.2, 104.24.0.?, $\ldots$	$[(8, 116), (33, 66)]$
33930.r3	33930ba1	33930.r	33930ba	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 13 \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9048$	$48$	$0$	$1$	$1$		$1$	$98304$	$1.046900$	$615882348586441/21715200$	$0.90301$	$3.89624$	$[1, -1, 1, -15953, -771519]$	\(y^2+xy+y=x^3-x^2-15953x-771519\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 104.12.0.?, 156.12.0.?, $\ldots$	$[]$
56550.cg3	56550bv1	56550.cg	56550bv	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 29 \)	\( 2^{8} \cdot 3^{2} \cdot 5^{8} \cdot 13 \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$15080$	$48$	$0$	$1$	$1$		$1$	$294912$	$1.302313$	$615882348586441/21715200$	$0.90301$	$3.99444$	$[1, 0, 0, -44313, 3586617]$	\(y^2+xy=x^3-44313x+3586617\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 104.12.0.?, 232.12.0.?, $\ldots$	$[]$
90480.cb3	90480cc1	90480.cb	90480cc	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{20} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$3016$	$48$	$0$	$1$	$4$	$2$	$1$	$294912$	$1.190741$	$615882348586441/21715200$	$0.90301$	$3.71263$	$[0, 1, 0, -28360, -1847692]$	\(y^2=x^3+x^2-28360x-1847692\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 52.12.0-4.c.1.1, 104.24.0.?, $\ldots$	$[]$
147030.bo3	147030bf1	147030.bo	147030bf	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 29 \)	\( 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 13^{7} \cdot 29 \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$3016$	$48$	$0$	$2.444013585$	$1$		$7$	$2064384$	$1.780067$	$615882348586441/21715200$	$0.90301$	$4.15550$	$[1, 1, 1, -299556, 62978469]$	\(y^2+xy+y=x^3+x^2-299556x+62978469\)	2.3.0.a.1, 4.12.0-4.c.1.1, 104.24.0.?, 232.24.0.?, 754.6.0.?, $\ldots$	$[(313, -91)]$
169650.cx3	169650eo1	169650.cx	169650eo	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \)	\( 2^{8} \cdot 3^{8} \cdot 5^{8} \cdot 13 \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$45240$	$48$	$0$	$1$	$4$	$2$	$1$	$2359296$	$1.851618$	$615882348586441/21715200$	$0.90301$	$4.17742$	$[1, -1, 0, -398817, -96838659]$	\(y^2+xy=x^3-x^2-398817x-96838659\)	2.3.0.a.1, 4.6.0.c.1, 104.12.0.?, 120.12.0.?, 232.12.0.?, $\ldots$	$[]$
271440.cd3	271440cd1	271440.cd	271440cd	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{20} \cdot 3^{8} \cdot 5^{2} \cdot 13 \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9048$	$48$	$0$	$1$	$1$		$1$	$2359296$	$1.740047$	$615882348586441/21715200$	$0.90301$	$3.91348$	$[0, 0, 0, -255243, 49632442]$	\(y^2=x^3-255243x+49632442\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 104.12.0.?, 156.12.0.?, $\ldots$	$[]$
327990.bn3	327990bn1	327990.bn	327990bn	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29^{2} \)	\( 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29^{7} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$3016$	$48$	$0$	$5.849536974$	$1$		$3$	$10321920$	$2.181240$	$615882348586441/21715200$	$0.90301$	$4.27202$	$[1, 0, 0, -1490690, 700388292]$	\(y^2+xy=x^3-1490690x+700388292\)	2.3.0.a.1, 4.12.0-4.c.1.1, 104.24.0.?, 232.24.0.?, 754.6.0.?, $\ldots$	$[(7396/3, 138026/3)]$
361920.bn3	361920bn1	361920.bn	361920bn	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{26} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$3016$	$48$	$0$	$1$	$1$		$1$	$2359296$	$1.537313$	$615882348586441/21715200$	$0.90301$	$3.63545$	$[0, -1, 0, -113441, -14668095]$	\(y^2=x^3-x^2-113441x-14668095\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 104.24.0.?, 232.24.0.?, $\ldots$	$[]$
361920.da3	361920da1	361920.da	361920da	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \)	\( 2^{26} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$3016$	$48$	$0$	$1$	$1$		$1$	$2359296$	$1.537313$	$615882348586441/21715200$	$0.90301$	$3.63545$	$[0, 1, 0, -113441, 14668095]$	\(y^2=x^3+x^2-113441x+14668095\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 104.24.0.?, 232.24.0.?, $\ldots$	$[]$
441090.bw3	441090bw1	441090.bw	441090bw	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 29 \)	\( 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 13^{7} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9048$	$48$	$0$	$9.496118570$	$1$		$1$	$16515072$	$2.329372$	$615882348586441/21715200$	$0.90301$	$4.31141$	$[1, -1, 0, -2696004, -1703114672]$	\(y^2+xy=x^3-x^2-2696004x-1703114672\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 104.12.0.?, 232.12.0.?, $\ldots$	$[(645576/7, 512192708/7)]$
452400.m3	452400m1	452400.m	452400m	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 29 \)	\( 2^{20} \cdot 3^{2} \cdot 5^{8} \cdot 13 \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$15080$	$48$	$0$	$8.830248353$	$1$		$1$	$7077888$	$1.995459$	$615882348586441/21715200$	$0.90301$	$3.99533$	$[0, -1, 0, -709008, -229543488]$	\(y^2=x^3-x^2-709008x-229543488\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 104.12.0.?, 232.12.0.?, $\ldots$	$[(26417/4, 3562175/4)]$