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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
225318.d1	225318s1	225318.d	225318s	$1$	$1$	\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \)	\( - 2^{18} \cdot 3^{4} \cdot 17 \cdot 47^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$1$	$1$		$0$	$35085312$	$2.890442$	$51808238039/360972288$	$1.09613$	$4.69552$	$[1, 0, 1, 2234357, -4271087818]$	\(y^2+xy+y=x^3+2234357x-4271087818\)	68.2.0.a.1	$[ ]$
225318.p1	225318be1	225318.p	225318be	$1$	$1$	\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \)	\( - 2^{18} \cdot 3^{4} \cdot 17 \cdot 47^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$68$	$2$	$0$	$1$	$1$		$0$	$746496$	$0.965368$	$51808238039/360972288$	$1.09613$	$2.82125$	$[1, 0, 1, 1011, 41224]$	\(y^2+xy+y=x^3+1011x+41224\)	68.2.0.a.1	$[ ]$

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