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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
177858971.a1	-	177858971.a	-	$1$	$1$	\( 177858971 \)	\( -177858971 \)	$5$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$355717942$	$2$	$0$	$25.09168982$	$1$		$68$		$0.429313$	$-34620476018688/177858971$	$0.63235$	$1.64158$	$[0, 0, 1, -679, 6840]$	\(y^2+y=x^3-679x+6840\)	355717942.2.0.?	$[(16, 8), (11, 26), (13, 14), (17, 14), (15, 5)]$

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