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
47096.g1	47096j1	47096.g	47096j	$1$	$1$	\( 2^{3} \cdot 7 \cdot 29^{2} \)	\( - 2^{11} \cdot 7 \cdot 29^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$56$	$2$	$0$	$39.49927875$	$1$		$0$	$570720$	$2.288792$	$-1682/7$	$0.76691$	$4.72385$	$[0, -1, 0, -235760, -126026996]$	\(y^2=x^3-x^2-235760x-126026996\)	56.2.0.b.1	$[(137534555195045165/3826562, 50930786856862155366815369/3826562)]$
47096.k1	47096f1	47096.k	47096f	$1$	$1$	\( 2^{3} \cdot 7 \cdot 29^{2} \)	\( - 2^{11} \cdot 7 \cdot 29^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$56$	$2$	$0$	$4.924966105$	$1$		$0$	$19680$	$0.605145$	$-1682/7$	$0.76691$	$2.84617$	$[0, 1, 0, -280, -5264]$	\(y^2=x^3+x^2-280x-5264\)	56.2.0.b.1	$[(829/6, 6931/6)]$
94192.m1	94192f1	94192.m	94192f	$1$	$1$	\( 2^{4} \cdot 7 \cdot 29^{2} \)	\( - 2^{11} \cdot 7 \cdot 29^{4} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$56$	$2$	$0$	$0.677763731$	$1$		$12$	$39360$	$0.605145$	$-1682/7$	$0.76691$	$2.67392$	$[0, -1, 0, -280, 5264]$	\(y^2=x^3-x^2-280x+5264\)	56.2.0.b.1	$[(10, 58), (16, 68)]$
94192.y1	94192b1	94192.y	94192b	$1$	$1$	\( 2^{4} \cdot 7 \cdot 29^{2} \)	\( - 2^{11} \cdot 7 \cdot 29^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$56$	$2$	$0$	$18.00960716$	$1$		$0$	$1141440$	$2.288792$	$-1682/7$	$0.76691$	$4.43796$	$[0, 1, 0, -235760, 126026996]$	\(y^2=x^3+x^2-235760x+126026996\)	56.2.0.b.1	$[(63340349/106, 502454024461/106)]$
329672.f1	329672f1	329672.f	329672f	$1$	$1$	\( 2^{3} \cdot 7^{2} \cdot 29^{2} \)	\( - 2^{11} \cdot 7^{7} \cdot 29^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$56$	$2$	$0$	$2.419314609$	$1$		$0$	$944640$	$1.578100$	$-1682/7$	$0.76691$	$3.32918$	$[0, -1, 0, -13736, 1778092]$	\(y^2=x^3-x^2-13736x+1778092\)	56.2.0.b.1	$[(69/2, 9947/2)]$
329672.t1	329672t1	329672.t	329672t	$1$	$1$	\( 2^{3} \cdot 7^{2} \cdot 29^{2} \)	\( - 2^{11} \cdot 7^{7} \cdot 29^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$56$	$2$	$0$	$48.17271819$	$1$		$0$	$27394560$	$3.261749$	$-1682/7$	$0.76691$	$4.91930$	$[0, 1, 0, -11552256, 43250364128]$	\(y^2=x^3+x^2-11552256x+43250364128\)	56.2.0.b.1	$[(1282387667956798345189/1052396178, 206631282472549252441710050237921/1052396178)]$
376768.x1	376768x1	376768.x	376768x	$1$	$1$	\( 2^{6} \cdot 7 \cdot 29^{2} \)	\( - 2^{17} \cdot 7 \cdot 29^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$56$	$2$	$0$	$1$	$1$		$0$	$9131520$	$2.635365$	$-1682/7$	$0.76691$	$4.28270$	$[0, -1, 0, -943041, 1009159009]$	\(y^2=x^3-x^2-943041x+1009159009\)	56.2.0.b.1	$[]$
376768.z1	376768z1	376768.z	376768z	$1$	$1$	\( 2^{6} \cdot 7 \cdot 29^{2} \)	\( - 2^{17} \cdot 7 \cdot 29^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$56$	$2$	$0$	$6.767781685$	$1$		$2$	$314880$	$0.951718$	$-1682/7$	$0.76691$	$2.70913$	$[0, -1, 0, -1121, -40991]$	\(y^2=x^3-x^2-1121x-40991\)	56.2.0.b.1	$[(1715, 70988)]$
376768.ce1	376768ce1	376768.ce	376768ce	$1$	$1$	\( 2^{6} \cdot 7 \cdot 29^{2} \)	\( - 2^{17} \cdot 7 \cdot 29^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$56$	$2$	$0$	$6.509917773$	$1$		$0$	$314880$	$0.951718$	$-1682/7$	$0.76691$	$2.70913$	$[0, 1, 0, -1121, 40991]$	\(y^2=x^3+x^2-1121x+40991\)	56.2.0.b.1	$[(41/5, 24736/5)]$
376768.cg1	376768cg1	376768.cg	376768cg	$1$	$1$	\( 2^{6} \cdot 7 \cdot 29^{2} \)	\( - 2^{17} \cdot 7 \cdot 29^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$56$	$2$	$0$	$1$	$9$	$3$	$0$	$9131520$	$2.635365$	$-1682/7$	$0.76691$	$4.28270$	$[0, 1, 0, -943041, -1009159009]$	\(y^2=x^3+x^2-943041x-1009159009\)	56.2.0.b.1	$[]$
423864.u1	423864u1	423864.u	423864u	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 29^{2} \)	\( - 2^{11} \cdot 3^{6} \cdot 7 \cdot 29^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$56$	$2$	$0$	$5.894795479$	$1$		$0$	$590400$	$1.154451$	$-1682/7$	$0.76691$	$2.87226$	$[0, 0, 0, -2523, 139606]$	\(y^2=x^3-2523x+139606\)	56.2.0.b.1	$[(225/2, 3353/2)]$
423864.y1	423864y1	423864.y	423864y	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 29^{2} \)	\( - 2^{11} \cdot 3^{6} \cdot 7 \cdot 29^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$56$	$2$	$0$	$68.28181115$	$1$		$0$	$17121600$	$2.838100$	$-1682/7$	$0.76691$	$4.43153$	$[0, 0, 0, -2121843, 3404850734]$	\(y^2=x^3-2121843x+3404850734\)	56.2.0.b.1	$[(451206928661794659890993595889/223946409630, 303084435473347843355228836867021395109403537/223946409630)]$