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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

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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
340.a1	340a1	340.a	340a	$2$	$2$	\( 2^{2} \cdot 5 \cdot 17 \)	\( 2^{4} \cdot 5 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.22	2B	$680$	$48$	$0$	$0.436135862$	$1$		$7$	$24$	$-0.451546$	$151732224/85$	$1.02320$	$3.70740$	$[0, 0, 0, -28, 57]$	\(y^2=x^3-28x+57\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 170.6.0.?, 340.24.0.?, $\ldots$	$[(2, 3)]$
340.a2	340a2	340.a	340a	$2$	$2$	\( 2^{2} \cdot 5 \cdot 17 \)	\( - 2^{8} \cdot 5^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.37	2B	$680$	$48$	$0$	$0.218067931$	$1$		$11$	$48$	$-0.104972$	$-5256144/7225$	$0.89008$	$3.81485$	$[0, 0, 0, -23, 78]$	\(y^2=x^3-23x+78\)	2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 340.12.0.?, 680.48.0.?	$[(-1, 10)]$

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