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.a2	22440o1	22440.a	22440o	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{10} \cdot 3^{7} \cdot 5^{2} \cdot 11 \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$193536$	$1.908871$	$1052163263816561956/14516937435825$	$0.95398$	$4.83389$	$[0, -1, 0, -213576, -37463940]$	\(y^2=x^3-x^2-213576x-37463940\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[]$
44880.cd2	44880k1	44880.cd	44880k	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{10} \cdot 3^{7} \cdot 5^{2} \cdot 11 \cdot 17^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$0.238876907$	$1$		$13$	$387072$	$1.908871$	$1052163263816561956/14516937435825$	$0.95398$	$4.52110$	$[0, 1, 0, -213576, 37463940]$	\(y^2=x^3+x^2-213576x+37463940\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(222, 1020)]$
67320.bc2	67320p1	67320.bc	67320p	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{10} \cdot 3^{13} \cdot 5^{2} \cdot 11 \cdot 17^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$3.702181697$	$1$		$3$	$1548288$	$2.458176$	$1052163263816561956/14516937435825$	$0.95398$	$4.94913$	$[0, 0, 0, -1922187, 1013448566]$	\(y^2=x^3-1922187x+1013448566\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(-1529, 19440)]$
112200.cj2	112200ba1	112200.cj	112200ba	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{10} \cdot 3^{7} \cdot 5^{8} \cdot 11 \cdot 17^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$6.469136713$	$1$		$1$	$4644864$	$2.713589$	$1052163263816561956/14516937435825$	$0.95398$	$4.99529$	$[0, 1, 0, -5339408, -4693671312]$	\(y^2=x^3+x^2-5339408x-4693671312\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(-20207/4, 388575/4)]$
134640.fg2	134640eo1	134640.fg	134640eo	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{10} \cdot 3^{13} \cdot 5^{2} \cdot 11 \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$4$	$2$	$1$	$3096576$	$2.458176$	$1052163263816561956/14516937435825$	$0.95398$	$4.65867$	$[0, 0, 0, -1922187, -1013448566]$	\(y^2=x^3-1922187x-1013448566\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[]$
179520.dx2	179520cz1	179520.dx	179520cz	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{16} \cdot 3^{7} \cdot 5^{2} \cdot 11 \cdot 17^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$2.244661806$	$1$		$5$	$3096576$	$2.255444$	$1052163263816561956/14516937435825$	$0.95398$	$4.34680$	$[0, -1, 0, -854305, 300565825]$	\(y^2=x^3-x^2-854305x+300565825\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(615, 2720)]$
179520.gn2	179520en1	179520.gn	179520en	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{16} \cdot 3^{7} \cdot 5^{2} \cdot 11 \cdot 17^{6} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1.204026479$	$1$		$19$	$3096576$	$2.255444$	$1052163263816561956/14516937435825$	$0.95398$	$4.34680$	$[0, 1, 0, -854305, -300565825]$	\(y^2=x^3+x^2-854305x-300565825\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(-547, 1836), (1595, 48960)]$
224400.bd2	224400hy1	224400.bd	224400hy	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{10} \cdot 3^{7} \cdot 5^{8} \cdot 11 \cdot 17^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$5.012852676$	$1$		$3$	$9289728$	$2.713589$	$1052163263816561956/14516937435825$	$0.95398$	$4.71428$	$[0, -1, 0, -5339408, 4693671312]$	\(y^2=x^3-x^2-5339408x+4693671312\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(2352, 71700)]$
246840.n2	246840n1	246840.n	246840n	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{10} \cdot 3^{7} \cdot 5^{2} \cdot 11^{7} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$23224320$	$3.107819$	$1052163263816561956/14516937435825$	$0.95398$	$5.05909$	$[0, -1, 0, -25842736, 49967875036]$	\(y^2=x^3-x^2-25842736x+49967875036\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[]$
336600.cy2	336600cy1	336600.cy	336600cy	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{10} \cdot 3^{13} \cdot 5^{8} \cdot 11 \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$37158912$	$3.262894$	$1052163263816561956/14516937435825$	$0.95398$	$5.08202$	$[0, 0, 0, -48054675, 126681070750]$	\(y^2=x^3-48054675x+126681070750\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[]$
381480.cx2	381480cx1	381480.cx	381480cx	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \)	\( 2^{10} \cdot 3^{7} \cdot 5^{2} \cdot 11 \cdot 17^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$4$	$2$	$1$	$55738368$	$3.325478$	$1052163263816561956/14516937435825$	$0.95398$	$5.09096$	$[0, 1, 0, -61723560, -184430678400]$	\(y^2=x^3+x^2-61723560x-184430678400\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[]$
493680.ee2	493680ee1	493680.ee	493680ee	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{10} \cdot 3^{7} \cdot 5^{2} \cdot 11^{7} \cdot 17^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$2.339004412$	$1$		$7$	$46448640$	$3.107819$	$1052163263816561956/14516937435825$	$0.95398$	$4.79160$	$[0, 1, 0, -25842736, -49967875036]$	\(y^2=x^3+x^2-25842736x-49967875036\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(-2710, 13068)]$