Elliptic curves over $\Q$ of conductor 64

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
64.a1	64a2	64.a	64a	$4$	$4$	\( 2^{6} \)	\( 2^{15} \)	$0$	$\Z/2\Z$	$\Q(\sqrt{-1})$	$-16$	$N(\mathrm{U}(1))$		✓	$2$	16.192.3.563	2B				$1$	$1$		$1$	$4$	$-0.270812$	$287496$	$1.17246$	$5.52220$	$[0, 0, 0, -44, -112]$	\(y^2=x^3-44x-112\)		$[]$
64.a2	64a3	64.a	64a	$4$	$4$	\( 2^{6} \)	\( 2^{15} \)	$0$	$\Z/4\Z$	$\Q(\sqrt{-1})$	$-16$	$N(\mathrm{U}(1))$		✓	$2$	16.192.3.545	2B				$1$	$1$		$3$	$4$	$-0.270812$	$287496$	$1.17246$	$5.52220$	$[0, 0, 0, -44, 112]$	\(y^2=x^3-44x+112\)		$[]$
64.a3	64a1	64.a	64a	$4$	$4$	\( 2^{6} \)	\( 2^{12} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q(\sqrt{-1})$	$-4$	$N(\mathrm{U}(1))$		✓	$2$	16.384.9.462	2Cs				$1$	$1$		$3$	$2$	$-0.617386$	$1728$		$3.79248$	$[0, 0, 0, -4, 0]$	\(y^2=x^3-4x\)		$[]$
64.a4	64a4	64.a	64a	$4$	$4$	\( 2^{6} \)	\( - 2^{6} \)	$0$	$\Z/2\Z$	$\Q(\sqrt{-1})$	$-4$	$N(\mathrm{U}(1))$		✓	$2$	16.384.9.600	2B				$1$	$1$		$1$	$4$	$-0.963960$	$1728$		$2.79248$	$[0, 0, 0, 1, 0]$	\(y^2=x^3+x\)		$[]$