Elliptic curves over $\Q$ of conductor 100008

Results (displaying both 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
100008.a1	100008b1	100008.a	100008b	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 463 \)	\( - 2^{10} \cdot 3^{9} \cdot 463 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5556$	$2$	$0$	$1.204593392$	$1$		$4$	$65088$	$0.610351$	$-530604/463$	$0.65530$	$2.68567$	$[0, 0, 0, -459, -5994]$	\(y^2=x^3-459x-5994\)	5556.2.0.?	$[(27, 36)]$
100008.b1	100008a1	100008.b	100008a	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 463 \)	\( - 2^{10} \cdot 3^{3} \cdot 463 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5556$	$2$	$0$	$1$	$1$		$0$	$21696$	$0.061044$	$-530604/463$	$0.65530$	$2.11313$	$[0, 0, 0, -51, 222]$	\(y^2=x^3-51x+222\)	5556.2.0.?	$[]$