Elliptic curve search results

Results (11 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
14586.j1	14586l1	14586.j	14586l	$1$	$1$	\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{13} \cdot 3^{4} \cdot 11^{7} \cdot 13 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$1144$	$2$	$0$	$0.111118298$	$1$		$10$	$128128$	$1.880720$	$165568631260031/48580832601759744$	$1.05610$	$4.78490$	$[1, 1, 1, 1144, -10604023]$	\(y^2+xy+y=x^3+x^2+1144x-10604023\)	1144.2.0.?	$[(381, 6541)]$
43758.h1	43758g1	43758.h	43758g	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{13} \cdot 3^{10} \cdot 11^{7} \cdot 13 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$8.065421602$	$1$		$0$	$1025024$	$2.430027$	$165568631260031/48580832601759744$	$1.05610$	$4.90982$	$[1, -1, 0, 10296, 286318912]$	\(y^2+xy=x^3-x^2+10296x+286318912\)	1144.2.0.?	$[(37703/2, 7284571/2)]$
116688.u1	116688ba1	116688.u	116688ba	$1$	$1$	\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{25} \cdot 3^{4} \cdot 11^{7} \cdot 13 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$1.363942359$	$1$		$4$	$3075072$	$2.573868$	$165568631260031/48580832601759744$	$1.05610$	$4.64501$	$[0, 1, 0, 18304, 678694068]$	\(y^2=x^3+x^2+18304x+678694068\)	1144.2.0.?	$[(106, 26112)]$
160446.b1	160446bo1	160446.b	160446bo	$1$	$1$	\( 2 \cdot 3 \cdot 11^{2} \cdot 13 \cdot 17 \)	\( - 2^{13} \cdot 3^{4} \cdot 11^{13} \cdot 13 \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$1$	$1$		$0$	$15375360$	$3.079666$	$165568631260031/48580832601759744$	$1.05610$	$5.02799$	$[1, 1, 0, 138422, 14114646484]$	\(y^2+xy=x^3+x^2+138422x+14114646484\)	1144.2.0.?	$[]$
189618.h1	189618bp1	189618.h	189618bp	$1$	$1$	\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 17 \)	\( - 2^{13} \cdot 3^{4} \cdot 11^{7} \cdot 13^{7} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$1$	$1$		$0$	$21525504$	$3.163193$	$165568631260031/48580832601759744$	$1.05610$	$5.04136$	$[1, 1, 0, 193333, -23298004803]$	\(y^2+xy=x^3+x^2+193333x-23298004803\)	1144.2.0.?	$[]$
247962.bg1	247962bg1	247962.bg	247962bg	$1$	$1$	\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \)	\( - 2^{13} \cdot 3^{4} \cdot 11^{7} \cdot 13 \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$1$	$1$		$0$	$36900864$	$3.297325$	$165568631260031/48580832601759744$	$1.05610$	$5.06206$	$[1, 0, 0, 330610, -52099878396]$	\(y^2+xy=x^3+330610x-52099878396\)	1144.2.0.?	$[]$
350064.bt1	350064bt1	350064.bt	350064bt	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{25} \cdot 3^{10} \cdot 11^{7} \cdot 13 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$3.055779125$	$1$		$2$	$24600576$	$3.123173$	$165568631260031/48580832601759744$	$1.05610$	$4.76161$	$[0, 0, 0, 164733, -18324575102]$	\(y^2=x^3+164733x-18324575102\)	1144.2.0.?	$[(30383, 5294718)]$
364650.bu1	364650bu1	364650.bu	364650bu	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{13} \cdot 3^{4} \cdot 5^{6} \cdot 11^{7} \cdot 13 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$1.315299050$	$1$		$4$	$17937920$	$2.685440$	$165568631260031/48580832601759744$	$1.05610$	$4.33628$	$[1, 0, 1, 28599, -1325560052]$	\(y^2+xy+y=x^3+28599x-1325560052\)	1144.2.0.?	$[(1346, 33267)]$
466752.bs1	466752bs1	466752.bs	466752bs	$1$	$1$	\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{31} \cdot 3^{4} \cdot 11^{7} \cdot 13 \cdot 17^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$1.240400945$	$1$		$10$	$24600576$	$2.920441$	$165568631260031/48580832601759744$	$1.05610$	$4.47031$	$[0, -1, 0, 73215, 5429479329]$	\(y^2=x^3-x^2+73215x+5429479329\)	1144.2.0.?	$[(3285, 202752), (315, 74052)]$
466752.dv1	466752dv1	466752.dv	466752dv	$1$	$1$	\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{31} \cdot 3^{4} \cdot 11^{7} \cdot 13 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$7.522450351$	$1$		$0$	$24600576$	$2.920441$	$165568631260031/48580832601759744$	$1.05610$	$4.47031$	$[0, 1, 0, 73215, -5429479329]$	\(y^2=x^3+x^2+73215x-5429479329\)	1144.2.0.?	$[(292659/5, 158103552/5)]$
481338.da1	481338da1	481338.da	481338da	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \cdot 17 \)	\( - 2^{13} \cdot 3^{10} \cdot 11^{13} \cdot 13 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$1.927083783$	$1$		$0$	$123002880$	$3.628975$	$165568631260031/48580832601759744$	$1.05610$	$5.10961$	$[1, -1, 1, 1245793, -381094209273]$	\(y^2+xy+y=x^3-x^2+1245793x-381094209273\)	1144.2.0.?	$[(129739/3, 43611250/3)]$