Elliptic curves over Q\Q of conductor 5547

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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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
5547.a1	5547c1	5547.a	5547c	$1$	$1$	$3 \cdot 43^{2}$	$- 3^{3} \cdot 43^{8}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$37926$	$1.511206$	$-176128/27$	$0.84680$	$4.91863$	$[0, 1, 1, -26502, 1858844]$	$y^2+y=x^3+x^2-26502x+1858844$	6.2.0.a.1	$[]$
5547.b1	5547a3	5547.b	5547a	$4$	$4$	$3 \cdot 43^{2}$	$3^{12} \cdot 43^{7}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$1032$	$48$	$0$	$1$	$1$		$0$	$55440$	$2.097427$	$1616855892553/22851963$	$1.05806$	$5.87851$	$[1, 1, 1, -452119, -115761838]$	$y^2+xy+y=x^3+x^2-452119x-115761838$	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.z.1.1, 172.24.0.?, 1032.48.0.?	$[]$
5547.b2	5547a2	5547.b	5547a	$4$	$4$	$3 \cdot 43^{2}$	$3^{6} \cdot 43^{8}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$516$	$48$	$0$	$1$	$1$		$2$	$27720$	$1.750853$	$2845178713/1347921$	$0.95310$	$5.14279$	$[1, 1, 1, -54584, 2067536]$	$y^2+xy+y=x^3+x^2-54584x+2067536$	2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.3, 172.24.0.?, 516.48.0.?	$[]$
5547.b3	5547a1	5547.b	5547a	$4$	$4$	$3 \cdot 43^{2}$	$3^{3} \cdot 43^{7}$	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$1032$	$48$	$0$	$1$	$1$		$3$	$13860$	$1.404280$	$1630532233/1161$	$0.91317$	$5.07822$	$[1, 1, 1, -45339, 3694656]$	$y^2+xy+y=x^3+x^2-45339x+3694656$	2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.z.1.9, 258.6.0.?, 344.24.0.?, $\ldots$	$[]$
5547.b4	5547a4	5547.b	5547a	$4$	$4$	$3 \cdot 43^{2}$	$- 3^{3} \cdot 43^{10}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$1032$	$48$	$0$	$1$	$1$		$0$	$55440$	$2.097427$	$129784785047/92307627$	$0.98681$	$5.58593$	$[1, 1, 1, 195031, 15946130]$	$y^2+xy+y=x^3+x^2+195031x+15946130$	2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.5, 12.12.0.g.1, $\ldots$	$[]$
5547.c1	5547d1	5547.c	5547d	$1$	$1$	$3 \cdot 43^{2}$	$- 3^{4} \cdot 43^{7}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$86$	$2$	$0$	$1.614896306$	$1$		$2$	$14784$	$1.413486$	$-799178752/3483$	$0.95634$	$4.99637$	$[0, 1, 1, -35747, -2623132]$	$y^2+y=x^3+x^2-35747x-2623132$	86.2.0.?	$[(444, 8320)]$
5547.d1	5547b1	5547.d	5547b	$1$	$1$	$3 \cdot 43^{2}$	$- 3^{3} \cdot 43^{2}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$882$	$-0.369394$	$-176128/27$	$0.84680$	$2.30093$	$[0, -1, 1, -14, -19]$	$y^2+y=x^3-x^2-14x-19$	6.2.0.a.1	$[]$

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