Elliptic curves over $\Q$ of conductor 51

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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
51.a1	51a2	51.a	51a	$2$	$3$	\( 3 \cdot 17 \)	\( - 3 \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.2	3B.1.2	$102$	$16$	$0$	$1$	$1$		$0$	$6$	$-0.259223$	$-23100424192/14739$	$1.03897$	$6.06950$	$[0, 1, 1, -59, -196]$	\(y^2+y=x^3+x^2-59x-196\)	3.8.0-3.a.1.1, 102.16.0.?	$[]$
51.a2	51a1	51.a	51a	$2$	$3$	\( 3 \cdot 17 \)	\( - 3^{3} \cdot 17 \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$102$	$16$	$0$	$1$	$1$		$2$	$2$	$-0.808530$	$32768/459$	$1.01165$	$3.44409$	$[0, 1, 1, 1, -1]$	\(y^2+y=x^3+x^2+x-1\)	3.8.0-3.a.1.2, 102.16.0.?	$[]$