Elliptic curves over $\Q$ of conductor 216

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
216.a1	216a1	216.a	216a	$1$	$1$	\( 2^{3} \cdot 3^{3} \)	\( - 2^{8} \cdot 3^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.4.0.1		$12$	$8$	$0$	$0.031242123$	$1$		$16$	$24$	$-0.367596$	$-3072$	$0.94639$	$3.63044$	$[0, 0, 0, -12, 20]$	\(y^2=x^3-12x+20\)	4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1	$[(-2, 6)]$
216.b1	216b1	216.b	216b	$1$	$1$	\( 2^{3} \cdot 3^{3} \)	\( - 2^{11} \cdot 3^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$24$	$2$	$0$	$1$	$1$		$0$	$24$	$-0.227511$	$-6$	$1.22518$	$3.82787$	$[0, 0, 0, -3, -34]$	\(y^2=x^3-3x-34\)	24.2.0.b.1	$[]$
216.c1	216c1	216.c	216c	$1$	$1$	\( 2^{3} \cdot 3^{3} \)	\( - 2^{11} \cdot 3^{11} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$24$	$2$	$0$	$1$	$1$		$0$	$72$	$0.321795$	$-6$	$1.22518$	$5.05416$	$[0, 0, 0, -27, 918]$	\(y^2=x^3-27x+918\)	24.2.0.b.1	$[]$
216.d1	216d1	216.d	216d	$1$	$1$	\( 2^{3} \cdot 3^{3} \)	\( - 2^{8} \cdot 3^{11} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.4.0.1		$12$	$8$	$0$	$1$	$1$		$0$	$72$	$0.181711$	$-3072$	$0.94639$	$4.85673$	$[0, 0, 0, -108, -540]$	\(y^2=x^3-108x-540\)	4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1	$[]$