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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
163370.r1	163370g1	163370.r	163370g	$1$	$1$	\( 2 \cdot 5 \cdot 17 \cdot 31^{2} \)	\( - 2^{4} \cdot 5 \cdot 17 \cdot 31^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5270$	$2$	$0$	$1$	$1$		$0$	$984064$	$1.865767$	$2146689/1360$	$0.84694$	$3.78925$	$[1, -1, 1, 80063, -2703999]$	\(y^2+xy+y=x^3-x^2+80063x-2703999\)	5270.2.0.?	$[ ]$
163370.s1	163370h1	163370.s	163370h	$1$	$1$	\( 2 \cdot 5 \cdot 17 \cdot 31^{2} \)	\( - 2^{4} \cdot 5 \cdot 17 \cdot 31^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5270$	$2$	$0$	$1.366707786$	$1$		$2$	$31744$	$0.148773$	$2146689/1360$	$0.84694$	$2.07280$	$[1, -1, 1, 83, 69]$	\(y^2+xy+y=x^3-x^2+83x+69\)	5270.2.0.?	$[(39, 228)]$

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