Elliptic curve search results

Results (8 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
55545.i1	55545b1	55545.i	55545b	$1$	$1$	\( 3 \cdot 5 \cdot 7 \cdot 23^{2} \)	\( - 3^{2} \cdot 5^{17} \cdot 7^{5} \cdot 23^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$7.784596177$	$1$		$2$	$31530240$	$4.075920$	$-338220995109488656384/115404510498046875$	$1.04959$	$6.66526$	$[0, -1, 1, -621011791, -7509852593853]$	\(y^2+y=x^3-x^2-621011791x-7509852593853\)	70.2.0.a.1	$[(2797705, 4679349643)]$
55545.m1	55545e1	55545.m	55545e	$1$	$1$	\( 3 \cdot 5 \cdot 7 \cdot 23^{2} \)	\( - 3^{2} \cdot 5^{17} \cdot 7^{5} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$0.728855170$	$1$		$4$	$1370880$	$2.508175$	$-338220995109488656384/115404510498046875$	$1.04959$	$4.94325$	$[0, -1, 1, -1173935, 617639573]$	\(y^2+y=x^3-x^2-1173935x+617639573\)	70.2.0.a.1	$[(-1111, 23437)]$
166635.r1	166635z1	166635.r	166635z	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \)	\( - 3^{8} \cdot 5^{17} \cdot 7^{5} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$15.23551153$	$1$		$0$	$10967040$	$3.057484$	$-338220995109488656384/115404510498046875$	$1.04959$	$5.03980$	$[0, 0, 1, -10565418, -16665703061]$	\(y^2+y=x^3-10565418x-16665703061\)	70.2.0.a.1	$[(18191431/41, 73469561468/41)]$
166635.bf1	166635u1	166635.bf	166635u	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \)	\( - 3^{8} \cdot 5^{17} \cdot 7^{5} \cdot 23^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1.068116623$	$1$		$4$	$252241920$	$4.625229$	$-338220995109488656384/115404510498046875$	$1.04959$	$6.60448$	$[0, 0, 1, -5589106122, 202771609140145]$	\(y^2+y=x^3-5589106122x+202771609140145\)	70.2.0.a.1	$[(63943, 10335937)]$
277725.bo1	277725bo1	277725.bo	277725bo	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \)	\( - 3^{2} \cdot 5^{23} \cdot 7^{5} \cdot 23^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$137.5494867$	$1$		$0$	$756725760$	$4.880646$	$-338220995109488656384/115404510498046875$	$1.04959$	$6.57984$	$[0, 1, 1, -15525294783, -938762624821156]$	\(y^2+y=x^3+x^2-15525294783x-938762624821156\)	70.2.0.a.1	$[(2355820295153157264218431281856123217320321519079937652229399888/50856932427830482217975939861, 113197360240802643225173229960802204800602253106282845484551190081708577873201800093241614006247/50856932427830482217975939861)]$
277725.bu1	277725bu1	277725.bu	277725bu	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \)	\( - 3^{2} \cdot 5^{23} \cdot 7^{5} \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$32901120$	$3.312897$	$-338220995109488656384/115404510498046875$	$1.04959$	$5.07894$	$[0, 1, 1, -29348383, 77146249894]$	\(y^2+y=x^3+x^2-29348383x+77146249894\)	70.2.0.a.1	$[]$
388815.cm1	388815cm1	388815.cm	388815cm	$1$	$1$	\( 3 \cdot 5 \cdot 7^{2} \cdot 23^{2} \)	\( - 3^{2} \cdot 5^{17} \cdot 7^{11} \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$25$	$5$	$0$	$65802240$	$3.481133$	$-338220995109488656384/115404510498046875$	$1.04959$	$5.10301$	$[0, 1, 1, -57522831, -211735327975]$	\(y^2+y=x^3+x^2-57522831x-211735327975\)	70.2.0.a.1	$[]$
388815.co1	388815co1	388815.co	388815co	$1$	$1$	\( 3 \cdot 5 \cdot 7^{2} \cdot 23^{2} \)	\( - 3^{2} \cdot 5^{17} \cdot 7^{11} \cdot 23^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1.153653312$	$1$		$0$	$1513451520$	$5.048882$	$-338220995109488656384/115404510498046875$	$1.04959$	$6.56469$	$[0, 1, 1, -30429577775, 2575940298847031]$	\(y^2+y=x^3+x^2-30429577775x+2575940298847031\)	70.2.0.a.1	$[(-132075/2, 476298371/2)]$