Elliptic curve search results

Results (6 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
25050.j1	25050j1	25050.j	25050j	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2 \cdot 3^{7} \cdot 5^{9} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20040$	$2$	$0$	$0.474309513$	$1$		$4$	$100800$	$1.434994$	$-26306719916021/730458$	$0.92337$	$4.48095$	$[1, 0, 1, -77451, 8290048]$	\(y^2+xy+y=x^3-77451x+8290048\)	20040.2.0.?	$[(152, 111)]$
25050.n1	25050t1	25050.n	25050t	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2 \cdot 3^{7} \cdot 5^{3} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20040$	$2$	$0$	$1$	$1$		$0$	$20160$	$0.630274$	$-26306719916021/730458$	$0.92337$	$3.52755$	$[1, 1, 1, -3098, 65081]$	\(y^2+xy+y=x^3+x^2-3098x+65081\)	20040.2.0.?	$[]$
75150.e1	75150u1	75150.e	75150u	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 167 \)	\( - 2 \cdot 3^{13} \cdot 5^{3} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20040$	$2$	$0$	$5.199553704$	$1$		$2$	$161280$	$1.179581$	$-26306719916021/730458$	$0.92337$	$3.76948$	$[1, -1, 0, -27882, -1785074]$	\(y^2+xy=x^3-x^2-27882x-1785074\)	20040.2.0.?	$[(309, 4208)]$
75150.bq1	75150bu1	75150.bq	75150bu	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 167 \)	\( - 2 \cdot 3^{13} \cdot 5^{9} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20040$	$2$	$0$	$16.34997379$	$1$		$0$	$806400$	$1.984299$	$-26306719916021/730458$	$0.92337$	$4.62959$	$[1, -1, 1, -697055, -223831303]$	\(y^2+xy+y=x^3-x^2-697055x-223831303\)	20040.2.0.?	$[(258692367/2, 4160527689215/2)]$
200400.f1	200400ba1	200400.f	200400ba	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2^{13} \cdot 3^{7} \cdot 5^{9} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20040$	$2$	$0$	$1$	$1$		$0$	$2419200$	$2.128139$	$-26306719916021/730458$	$0.92337$	$4.39902$	$[0, -1, 0, -1239208, -530563088]$	\(y^2=x^3-x^2-1239208x-530563088\)	20040.2.0.?	$[]$
200400.cz1	200400f1	200400.cz	200400f	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2^{13} \cdot 3^{7} \cdot 5^{3} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20040$	$2$	$0$	$1$	$1$		$0$	$483840$	$1.323421$	$-26306719916021/730458$	$0.92337$	$3.60802$	$[0, 1, 0, -49568, -4264332]$	\(y^2=x^3+x^2-49568x-4264332\)	20040.2.0.?	$[]$