Elliptic curve search results

Results (12 matches)

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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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
35100.e1	35100y1	35100.e	35100y	$1$	$1$	\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13 \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{4} \cdot 13^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.090705674$	$1$		$30$	$13824$	$0.384587$	$-1228800/169$	$0.85868$	$2.76498$	$1$	$[0, 0, 0, -300, 2225]$	\(y^2=x^3-300x+2225\)	6.2.0.a.1	$[(10, 15), (-10, 65)]$	$1$
35100.j1	35100x1	35100.j	35100x	$1$	$1$	\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13 \)	\( - 2^{4} \cdot 3^{11} \cdot 5^{4} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$4$	$2$	$0$	$41472$	$0.933893$	$-1228800/169$	$0.85868$	$3.39480$	$1$	$[0, 0, 0, -2700, -60075]$	\(y^2=x^3-2700x-60075\)	6.2.0.a.1	$[ ]$	$1$
35100.bm1	35100bg1	35100.bm	35100bg	$1$	$1$	\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13 \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{10} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$4.202412990$	$1$		$2$	$69120$	$1.189306$	$-1228800/169$	$0.85868$	$3.68765$	$1$	$[0, 0, 0, -7500, 278125]$	\(y^2=x^3-7500x+278125\)	6.2.0.a.1	$[(39, 212)]$	$1$
35100.br1	35100bf1	35100.br	35100bf	$1$	$1$	\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13 \)	\( - 2^{4} \cdot 3^{11} \cdot 5^{10} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$7.484840368$	$1$		$2$	$207360$	$1.738611$	$-1228800/169$	$0.85868$	$4.31747$	$1$	$[0, 0, 0, -67500, -7509375]$	\(y^2=x^3-67500x-7509375\)	6.2.0.a.1	$[(2674, 137593)]$	$1$
140400.r1	140400eg1	140400.r	140400eg	$1$	$1$	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 13 \)	\( - 2^{4} \cdot 3^{11} \cdot 5^{10} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$829440$	$1.738611$	$-1228800/169$	$0.85868$	$3.81248$	$1$	$[0, 0, 0, -67500, 7509375]$	\(y^2=x^3-67500x+7509375\)	6.2.0.a.1	$[ ]$	$1$
140400.bx1	140400em1	140400.bx	140400em	$1$	$1$	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 13 \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{10} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$276480$	$1.189306$	$-1228800/169$	$0.85868$	$3.25633$	$1$	$[0, 0, 0, -7500, -278125]$	\(y^2=x^3-7500x-278125\)	6.2.0.a.1	$[ ]$	$1$
140400.hm1	140400v1	140400.hm	140400v	$1$	$1$	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 13 \)	\( - 2^{4} \cdot 3^{11} \cdot 5^{4} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$4.676623183$	$1$		$0$	$165888$	$0.933893$	$-1228800/169$	$0.85868$	$2.99773$	$1$	$[0, 0, 0, -2700, 60075]$	\(y^2=x^3-2700x+60075\)	6.2.0.a.1	$[(361/2, 5941/2)]$	$1$
140400.ip1	140400y1	140400.ip	140400y	$1$	$1$	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 13 \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{4} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$2.627760078$	$1$		$0$	$55296$	$0.384587$	$-1228800/169$	$0.85868$	$2.44158$	$1$	$[0, 0, 0, -300, -2225]$	\(y^2=x^3-300x-2225\)	6.2.0.a.1	$[(105/2, 715/2)]$	$1$
456300.t1	456300t1	456300.t	456300t	$1$	$1$	\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{4} \cdot 3^{11} \cdot 5^{10} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$28.59858059$	$1$		$0$	$34836480$	$3.021088$	$-1228800/169$	$0.85868$	$4.64865$	$1$	$[0, 0, 0, -11407500, -16498096875]$	\(y^2=x^3-11407500x-16498096875\)	6.2.0.a.1	$[(26911770249481/60506, 120692036189941036379/60506)]$	$1$
456300.y1	456300y1	456300.y	456300y	$1$	$1$	\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{10} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$3.699876320$	$1$		$2$	$11612160$	$2.471779$	$-1228800/169$	$0.85868$	$4.14280$	$1$	$[0, 0, 0, -1267500, 611040625]$	\(y^2=x^3-1267500x+611040625\)	6.2.0.a.1	$[(624, 7943)]$	$1$
456300.dr1	456300dr1	456300.dr	456300dr	$1$	$1$	\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{4} \cdot 3^{11} \cdot 5^{4} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$3.077268254$	$1$		$2$	$6967296$	$2.216366$	$-1228800/169$	$0.85868$	$3.90760$	$1$	$[0, 0, 0, -456300, -131984775]$	\(y^2=x^3-456300x-131984775\)	6.2.0.a.1	$[(910, 14365)]$	$1$
456300.dw1	456300dw1	456300.dw	456300dw	$1$	$1$	\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{4} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1.892232672$	$1$		$2$	$2322432$	$1.667061$	$-1228800/169$	$0.85868$	$3.40175$	$1$	$[0, 0, 0, -50700, 4888325]$	\(y^2=x^3-50700x+4888325\)	6.2.0.a.1	$[(91, 1014)]$	$1$

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