Elliptic curves over $\Q$ of conductor 108

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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
108.a1	108a2	108.a	108a	$2$	$3$	\( 2^{2} \cdot 3^{3} \)	\( - 2^{8} \cdot 3^{9} \)	$0$	$\mathsf{trivial}$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$3$	27.648.18.4	3B.1.2				$1$	$1$		$0$	$18$	$-0.035060$	$0$		$4.88825$	$[0, 0, 0, 0, -108]$	\(y^2=x^3-108\)		$[]$
108.a2	108a1	108.a	108a	$2$	$3$	\( 2^{2} \cdot 3^{3} \)	\( - 2^{8} \cdot 3^{3} \)	$0$	$\Z/3\Z$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$3$	27.648.18.1	3B.1.1				$1$	$1$		$2$	$6$	$-0.584366$	$0$		$3.48041$	$[0, 0, 0, 0, 4]$	\(y^2=x^3+4\)		$[]$