Elliptic curve search results

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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
257754.a2	257754a2	257754.a	257754a	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19^{2} \)	\( - 2^{11} \cdot 3^{6} \cdot 7^{4} \cdot 17^{4} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$456$	$12$	$0$	$1$	$4$	$2$	$0$	$154091520$	$3.665474$	$2859720454700621/299395539781632$	$1.08097$	$5.39994$	$[1, 1, 0, 20282778, -471585653100]$	\(y^2+xy=x^3+x^2+20282778x-471585653100\)	2.3.0.a.1, 24.6.0.j.1, 152.6.0.?, 228.6.0.?, 456.12.0.?	$[ ]$
257754.bx2	257754bx2	257754.bx	257754bx	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19^{2} \)	\( - 2^{11} \cdot 3^{6} \cdot 7^{4} \cdot 17^{4} \cdot 19^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$456$	$12$	$0$	$0.351077512$	$1$		$38$	$8110080$	$2.193256$	$2859720454700621/299395539781632$	$1.08097$	$3.98204$	$[1, 0, 0, 56185, 68760201]$	\(y^2+xy=x^3+56185x+68760201\)	2.3.0.a.1, 24.6.0.j.1, 152.6.0.?, 228.6.0.?, 456.12.0.?	$[(-122, 7813), (-326, 4141)]$

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