Elliptic curves over $\Q$ of conductor 44

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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
44.a1	44a2	44.a	44a	$2$	$3$	\( 2^{2} \cdot 11 \)	\( - 2^{8} \cdot 11^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$66$	$16$	$0$	$1$	$1$		$0$	$6$	$-0.102988$	$-199794688/1331$	$0.99506$	$6.51908$	$[0, 1, 0, -77, -289]$	\(y^2=x^3+x^2-77x-289\)	3.8.0-3.a.1.1, 22.2.0.a.1, 66.16.0-66.a.1.1	$[]$
44.a2	44a1	44.a	44a	$2$	$3$	\( 2^{2} \cdot 11 \)	\( - 2^{8} \cdot 11 \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$66$	$16$	$0$	$1$	$1$		$2$	$2$	$-0.652294$	$8192/11$	$0.84294$	$3.91998$	$[0, 1, 0, 3, -1]$	\(y^2=x^3+x^2+3x-1\)	3.8.0-3.a.1.2, 22.2.0.a.1, 66.16.0-66.a.1.4	$[]$