Elliptic curve search results

Results (10 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
28050.bt1	28050bp1	28050.bt	28050bp	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{19} \cdot 3^{3} \cdot 5^{3} \cdot 11^{3} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1$	$1$		$0$	$76608$	$1.297184$	$334992828740851/320302743552$	$0.95667$	$3.73700$	$[1, 0, 1, 7234, -190672]$	\(y^2+xy+y=x^3+7234x-190672\)	22440.2.0.?	$[]$
28050.bz1	28050cp1	28050.bz	28050cp	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{19} \cdot 3^{3} \cdot 5^{9} \cdot 11^{3} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$0.993579955$	$1$		$4$	$383040$	$2.101902$	$334992828740851/320302743552$	$0.95667$	$4.67987$	$[1, 1, 1, 180862, -23833969]$	\(y^2+xy+y=x^3+x^2+180862x-23833969\)	22440.2.0.?	$[(185, 3907)]$
84150.r1	84150dr1	84150.r	84150dr	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{19} \cdot 3^{9} \cdot 5^{9} \cdot 11^{3} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1.357219280$	$1$		$4$	$3064320$	$2.651207$	$334992828740851/320302743552$	$0.95667$	$4.80776$	$[1, -1, 0, 1627758, 645144916]$	\(y^2+xy=x^3-x^2+1627758x+645144916\)	22440.2.0.?	$[(-181, 18653)]$
84150.gp1	84150ha1	84150.gp	84150ha	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{19} \cdot 3^{9} \cdot 5^{3} \cdot 11^{3} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$0.216057511$	$1$		$8$	$612864$	$1.846489$	$334992828740851/320302743552$	$0.95667$	$3.95624$	$[1, -1, 1, 65110, 5148137]$	\(y^2+xy+y=x^3-x^2+65110x+5148137\)	22440.2.0.?	$[(129, 3895)]$
224400.z1	224400df1	224400.z	224400df	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{31} \cdot 3^{3} \cdot 5^{3} \cdot 11^{3} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1.180879721$	$1$		$4$	$1838592$	$1.990330$	$334992828740851/320302743552$	$0.95667$	$3.78139$	$[0, -1, 0, 115752, 12202992]$	\(y^2=x^3-x^2+115752x+12202992\)	22440.2.0.?	$[(3692, 225280)]$
224400.id1	224400u1	224400.id	224400u	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{31} \cdot 3^{3} \cdot 5^{9} \cdot 11^{3} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$3.518602164$	$1$		$2$	$9192960$	$2.795048$	$334992828740851/320302743552$	$0.95667$	$4.56513$	$[0, 1, 0, 2893792, 1531161588]$	\(y^2=x^3+x^2+2893792x+1531161588\)	22440.2.0.?	$[(2508, 156750)]$
308550.cj1	308550cj1	308550.cj	308550cj	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( - 2^{19} \cdot 3^{3} \cdot 5^{9} \cdot 11^{9} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1$	$4$	$2$	$0$	$45964800$	$3.300850$	$334992828740851/320302743552$	$0.95667$	$4.93032$	$[1, 1, 0, 21884300, 31832434000]$	\(y^2+xy=x^3+x^2+21884300x+31832434000\)	22440.2.0.?	$[]$
308550.ig1	308550ig1	308550.ig	308550ig	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( - 2^{19} \cdot 3^{3} \cdot 5^{3} \cdot 11^{9} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$0.233523497$	$1$		$8$	$9192960$	$2.496132$	$334992828740851/320302743552$	$0.95667$	$4.16632$	$[1, 0, 0, 875372, 254659472]$	\(y^2+xy=x^3+875372x+254659472\)	22440.2.0.?	$[(2408, 126572)]$
476850.i1	476850i1	476850.i	476850i	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( - 2^{19} \cdot 3^{3} \cdot 5^{3} \cdot 11^{3} \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$3.546873181$	$1$		$0$	$22063104$	$2.713791$	$334992828740851/320302743552$	$0.95667$	$4.22737$	$[1, 1, 0, 2090765, -938861075]$	\(y^2+xy=x^3+x^2+2090765x-938861075\)	22440.2.0.?	$[(1755/2, 61825/2)]$
476850.kg1	476850kg1	476850.kg	476850kg	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( - 2^{19} \cdot 3^{3} \cdot 5^{9} \cdot 11^{3} \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$0.381622741$	$1$		$6$	$110315520$	$3.518509$	$334992828740851/320302743552$	$0.95667$	$4.96593$	$[1, 0, 0, 52269112, -117462172608]$	\(y^2+xy=x^3+52269112x-117462172608\)	22440.2.0.?	$[(71152, 19038424)]$