Elliptic curves over $\Q$ of conductor 1944

The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

Results (10 matches)

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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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
1944.a1	1944b1	1944.a	1944b	$1$	$1$	\( 2^{3} \cdot 3^{5} \)	\( - 2^{10} \cdot 3^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$2$	$0$	$1.301394891$	$1$		$2$	$432$	$-0.086116$	$-972$	$0.94639$	$2.97428$	$1$	$[0, 0, 0, -27, -90]$	\(y^2=x^3-27x-90\)	6.2.0.a.1	$[(7, 8)]$	$1$
1944.b1	1944f1	1944.b	1944f	$1$	$1$	\( 2^{3} \cdot 3^{5} \)	\( - 2^{4} \cdot 3^{13} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$2$	$0$	$1$	$1$		$0$	$648$	$0.308497$	$-497664$	$1.22518$	$3.98490$	$1$	$[0, 0, 0, -486, -4131]$	\(y^2=x^3-486x-4131\)	6.2.0.a.1	$[ ]$	$1$
1944.c1	1944i1	1944.c	1944i	$1$	$1$	\( 2^{3} \cdot 3^{5} \)	\( - 2^{8} \cdot 3^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$0.386535305$	$1$		$4$	$144$	$-0.268480$	$-82944$	$1.04124$	$2.95606$	$1$	$[0, 0, 0, -36, 84]$	\(y^2=x^3-36x+84\)	6.6.0.b.1, 12.24.1.g.1	$[(4, 2)]$	$1$
1944.d1	1944j1	1944.d	1944j	$1$	$1$	\( 2^{3} \cdot 3^{5} \)	\( - 2^{8} \cdot 3^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$2$	$0$	$0.367551160$	$1$		$4$	$144$	$-0.392088$	$1296$	$0.77371$	$2.40413$	$1$	$[0, 0, 0, 9, -6]$	\(y^2=x^3+9x-6\)	6.2.0.a.1	$[(1, 2)]$	$1$
1944.e1	1944c1	1944.e	1944c	$1$	$1$	\( 2^{3} \cdot 3^{5} \)	\( 2^{11} \cdot 3^{11} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$3$	9.27.0.1		$72$	$54$	$2$	$1$	$1$		$0$	$432$	$0.354915$	$4374$	$1.17572$	$3.70984$	$1$	$[0, 0, 0, -243, 1134]$	\(y^2=x^3-243x+1134\)	9.27.0.a.1, 24.2.0.a.1, 72.54.2.?	$[ ]$	$1$
1944.f1	1944h1	1944.f	1944h	$1$	$1$	\( 2^{3} \cdot 3^{5} \)	\( 2^{11} \cdot 3^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$3$	9.27.0.1		$72$	$54$	$2$	$1.453449915$	$1$		$2$	$144$	$-0.194391$	$4374$	$1.17572$	$2.83937$	$1$	$[0, 0, 0, -27, -42]$	\(y^2=x^3-27x-42\)	9.27.0.a.1, 24.2.0.a.1, 72.54.2.?	$[(-2, 2)]$	$1$
1944.g1	1944a1	1944.g	1944a	$1$	$1$	\( 2^{3} \cdot 3^{5} \)	\( - 2^{4} \cdot 3^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$2$	$0$	$0.424267969$	$1$		$4$	$216$	$-0.240809$	$-497664$	$1.22518$	$3.11443$	$1$	$[0, 0, 0, -54, 153]$	\(y^2=x^3-54x+153\)	6.2.0.a.1	$[(4, 1)]$	$1$
1944.h1	1944d1	1944.h	1944d	$1$	$1$	\( 2^{3} \cdot 3^{5} \)	\( - 2^{8} \cdot 3^{11} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$12$	$24$	$1$	$1$	$1$		$0$	$432$	$0.280826$	$-82944$	$1.04124$	$3.82654$	$1$	$[0, 0, 0, -324, -2268]$	\(y^2=x^3-324x-2268\)	6.6.0.b.1, 12.24.1.g.1	$[ ]$	$1$
1944.i1	1944e1	1944.i	1944e	$1$	$1$	\( 2^{3} \cdot 3^{5} \)	\( - 2^{8} \cdot 3^{11} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$2$	$0$	$1$	$1$		$0$	$432$	$0.157218$	$1296$	$0.77371$	$3.27460$	$1$	$[0, 0, 0, 81, 162]$	\(y^2=x^3+81x+162\)	6.2.0.a.1	$[ ]$	$1$
1944.j1	1944g1	1944.j	1944g	$1$	$1$	\( 2^{3} \cdot 3^{5} \)	\( - 2^{10} \cdot 3^{13} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$6$	$2$	$0$	$1$	$1$		$0$	$1296$	$0.463190$	$-972$	$0.94639$	$3.84476$	$1$	$[0, 0, 0, -243, 2430]$	\(y^2=x^3-243x+2430\)	6.2.0.a.1	$[ ]$	$1$

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