Elliptic curve search results

Results (4 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
18097.b1	18097a1	18097.b	18097a	$1$	$1$	\( 18097 \)	\( 18097 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$36194$	$2$	$0$	$0.580081197$	$1$		$4$	$1776$	$-0.265374$	$17434421857/18097$	$0.75472$	$2.40544$	$[1, 1, 1, -54, 130]$	\(y^2+xy+y=x^3+x^2-54x+130\)	36194.2.0.?	$[(4, -2)]$
162873.c1	162873c1	162873.c	162873c	$1$	$1$	\( 3^{2} \cdot 18097 \)	\( 3^{6} \cdot 18097 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$36194$	$2$	$0$	$16.31856762$	$1$		$2$	$53280$	$0.283932$	$17434421857/18097$	$0.75472$	$2.51430$	$[1, -1, 0, -486, -4001]$	\(y^2+xy=x^3-x^2-486x-4001\)	36194.2.0.?	$[(30, 73), (-195/4, 347/4)]$
289552.j1	289552j1	289552.j	289552j	$1$	$1$	\( 2^{4} \cdot 18097 \)	\( 2^{12} \cdot 18097 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$36194$	$2$	$0$	$4.016323984$	$1$		$4$	$113664$	$0.427773$	$17434421857/18097$	$0.75472$	$2.53652$	$[0, 1, 0, -864, -10060]$	\(y^2=x^3+x^2-864x-10060\)	36194.2.0.?	$[(-17, 2), (34, 32)]$
452425.c1	452425c1	452425.c	452425c	$1$	$1$	\( 5^{2} \cdot 18097 \)	\( 5^{6} \cdot 18097 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$36194$	$2$	$0$	$1$	$1$		$0$	$227328$	$0.539345$	$17434421857/18097$	$0.75472$	$2.55240$	$[1, 0, 1, -1351, 18973]$	\(y^2+xy+y=x^3-1351x+18973\)	36194.2.0.?	$[]$