Elliptic curves over $\Q$ of conductor 172

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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
172.a1	172a1	172.a	172a	$2$	$3$	\( 2^{2} \cdot 43 \)	\( - 2^{8} \cdot 43 \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$258$	$16$	$0$	$0.760139663$	$1$		$10$	$12$	$-0.457803$	$-1024000/43$	$0.81000$	$3.77940$	$[0, 1, 0, -13, 15]$	\(y^2=x^3+x^2-13x+15\)	3.8.0-3.a.1.2, 86.2.0.?, 258.16.0.?	$[(2, 1)]$
172.a2	172a2	172.a	172a	$2$	$3$	\( 2^{2} \cdot 43 \)	\( - 2^{8} \cdot 43^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$258$	$16$	$0$	$0.253379887$	$1$		$4$	$36$	$0.091503$	$128000000/79507$	$1.11205$	$4.70379$	$[0, 1, 0, 67, 79]$	\(y^2=x^3+x^2+67x+79\)	3.8.0-3.a.1.1, 86.2.0.?, 258.16.0.?	$[(10, 43)]$