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The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

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Conductor	Discriminant	j-invariant	Rank

Bad$\ p$	Curves per isogeny class	Complex multiplication	Torsion

Isogeny class degree	Cyclic isogeny degree	Isogeny class size	Integral points

Analytic order of Ш	$p\ $div$\ $\|Ш\|	Regulator	Reduction	Faltings height

Galois image	Adelic level	Adelic index	Adelic genus

Nonmax$\ \ell$	$abc$ quality	Szpiro ratio	Manin constant

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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	Manin constant
513.a1	513b1	513.a	513b	$1$	$1$	\( 3^{3} \cdot 19 \)	\( - 3^{5} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$0.109779657$	$1$		$8$	$24$	$-0.588336$	$-46875/19$	$0.89056$	$2.68885$	$[1, -1, 1, -5, 6]$	\(y^2+xy+y=x^3-x^2-5x+6\)	228.2.0.?	$[(2, 0)]$	$1$
513.b1	513a1	513.b	513a	$1$	$1$	\( 3^{3} \cdot 19 \)	\( - 3^{11} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$228$	$2$	$0$	$2.463018610$	$1$		$2$	$72$	$-0.039030$	$-46875/19$	$0.89056$	$3.74516$	$[1, -1, 0, -42, -127]$	\(y^2+xy=x^3-x^2-42x-127\)	228.2.0.?	$[(8, -3)]$	$1$

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