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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
506251.a1	-	506251.a	-	$1$	$1$	\( 506251 \)	\( -506251 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$1012502$	$2$	$0$	$3.201803163$	$1$		$6$	$69600$	$-0.226352$	$-884736/506251$	$0.66187$	$1.56763$	$[0, 0, 1, -2, 34]$	\(y^2+y=x^3-2x+34\)	1012502.2.0.?	$[(-2, 5), (4, 9)]$
506251.b1	-	506251.b	-	$1$	$1$	\( 506251 \)	\( -506251 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$1012502$	$2$	$0$	$1$	$1$		$0$	$63947$	$-0.221320$	$224755712/506251$	$0.63346$	$1.54495$	$[0, -1, 1, 13, 25]$	\(y^2+y=x^3-x^2+13x+25\)	1012502.2.0.?	$[ ]$

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