Elliptic curves over $\Q$ of conductor 2592

Results (8 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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images
2592.a1	2592h1	2592.a	2592h	$1$	$1$	\( 2^{5} \cdot 3^{4} \)	\( - 2^{9} \cdot 3^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$0.238289242$	$1$		$6$	$720$	$0.116919$	$-72$	$[0, 0, 0, -27, 270]$	\(y^2=x^3-27x+270\)	8.2.0.a.1
2592.b1	2592d1	2592.b	2592d	$1$	$1$	\( 2^{5} \cdot 3^{4} \)	\( - 2^{9} \cdot 3^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$		$0$	$720$	$0.116919$	$-72$	$[0, 0, 0, -27, -270]$	\(y^2=x^3-27x-270\)	8.2.0.a.1
2592.c1	2592f1	2592.c	2592f	$1$	$1$	\( 2^{5} \cdot 3^{4} \)	\( - 2^{12} \cdot 3^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.2.0.1		$24$	$4$	$0$	$1$	$1$		$0$	$576$	$0.299139$	$-576$	$[0, 0, 0, -108, -864]$	\(y^2=x^3-108x-864\)	4.2.0.a.1, 24.4.0-4.a.1.1
2592.d1	2592b1	2592.d	2592b	$1$	$1$	\( 2^{5} \cdot 3^{4} \)	\( - 2^{12} \cdot 3^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.2.0.1		$24$	$4$	$0$	$0.169458710$	$1$		$8$	$576$	$0.299139$	$-576$	$[0, 0, 0, -108, 864]$	\(y^2=x^3-108x+864\)	4.2.0.a.1, 24.4.0-4.a.1.1
2592.e1	2592a1	2592.e	2592a	$1$	$1$	\( 2^{5} \cdot 3^{4} \)	\( - 2^{12} \cdot 3^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.4.0.2		$8$	$4$	$0$	$0.298692440$	$1$		$4$	$192$	$-0.250167$	$-576$	$[0, 0, 0, -12, 32]$	\(y^2=x^3-12x+32\)	4.2.0.a.1, 8.4.0-4.a.1.1
2592.f1	2592e1	2592.f	2592e	$1$	$1$	\( 2^{5} \cdot 3^{4} \)	\( - 2^{12} \cdot 3^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.4.0.2		$8$	$4$	$0$	$1$	$1$		$0$	$192$	$-0.250167$	$-576$	$[0, 0, 0, -12, -32]$	\(y^2=x^3-12x-32\)	4.2.0.a.1, 8.4.0-4.a.1.1
2592.g1	2592c1	2592.g	2592c	$1$	$1$	\( 2^{5} \cdot 3^{4} \)	\( - 2^{9} \cdot 3^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$1.181742469$	$1$		$2$	$240$	$-0.432387$	$-72$	$[0, 0, 0, -3, -10]$	\(y^2=x^3-3x-10\)	8.2.0.a.1
2592.h1	2592g1	2592.h	2592g	$1$	$1$	\( 2^{5} \cdot 3^{4} \)	\( - 2^{9} \cdot 3^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$		$0$	$240$	$-0.432387$	$-72$	$[0, 0, 0, -3, 10]$	\(y^2=x^3-3x+10\)	8.2.0.a.1