Elliptic curve search results

Results (5 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
46410.e1	46410e1	46410.e	46410e	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \)	\( - 2 \cdot 3^{11} \cdot 5^{2} \cdot 7^{5} \cdot 13^{5} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$37128$	$2$	$0$	$3.236349211$	$1$		$2$	$1108800$	$2.130753$	$-86759979851166011209/939636090468252450$	$0.96825$	$4.55001$	$[1, 1, 0, -92228, -47906022]$	\(y^2+xy=x^3+x^2-92228x-47906022\)	37128.2.0.?	$[(979, 27818)]$
139230.dp1	139230l1	139230.dp	139230l	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 17 \)	\( - 2 \cdot 3^{17} \cdot 5^{2} \cdot 7^{5} \cdot 13^{5} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$37128$	$2$	$0$	$1.856469712$	$1$		$0$	$8870400$	$2.680061$	$-86759979851166011209/939636090468252450$	$0.96825$	$4.68450$	$[1, -1, 1, -830057, 1292632539]$	\(y^2+xy+y=x^3-x^2-830057x+1292632539\)	37128.2.0.?	$[(143/2, 284163/2)]$
232050.hp1	232050hp1	232050.hp	232050hp	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( - 2 \cdot 3^{11} \cdot 5^{8} \cdot 7^{5} \cdot 13^{5} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$37128$	$2$	$0$	$1$	$1$		$0$	$26611200$	$2.935474$	$-86759979851166011209/939636090468252450$	$0.96825$	$4.73890$	$[1, 0, 0, -2305713, -5983641333]$	\(y^2+xy=x^3-2305713x-5983641333\)	37128.2.0.?	$[]$
324870.cz1	324870cz1	324870.cz	324870cz	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( - 2 \cdot 3^{11} \cdot 5^{2} \cdot 7^{11} \cdot 13^{5} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$37128$	$2$	$0$	$1$	$1$		$0$	$53222400$	$3.103710$	$-86759979851166011209/939636090468252450$	$0.96825$	$4.77233$	$[1, 0, 1, -4519198, 16418207978]$	\(y^2+xy+y=x^3-4519198x+16418207978\)	37128.2.0.?	$[]$
371280.eb1	371280eb1	371280.eb	371280eb	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \)	\( - 2^{13} \cdot 3^{11} \cdot 5^{2} \cdot 7^{5} \cdot 13^{5} \cdot 17 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$37128$	$2$	$0$	$0.066702836$	$1$		$46$	$26611200$	$2.823902$	$-86759979851166011209/939636090468252450$	$0.96825$	$4.46083$	$[0, 1, 0, -1475656, 3063034100]$	\(y^2=x^3+x^2-1475656x+3063034100\)	37128.2.0.?	$[(3206, 176904), (-1708, 24570)]$