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The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

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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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Results (4 matches)

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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	Manin constant
40.a1	40a2	40.a	40a	$4$	$4$	\( 2^{3} \cdot 5 \)	\( 2^{10} \cdot 5 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.55	2B	$80$	$192$	$3$	$1$	$1$		$1$	$4$	$-0.202214$	$132304644/5$	$1.13632$	$6.94848$	$[0, 0, 0, -107, -426]$	\(y^2=x^3-107x-426\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.3, 10.6.0.a.1, 16.48.0-16.i.1.3, $\ldots$	$[ ]$	$1$
40.a2	40a1	40.a	40a	$4$	$4$	\( 2^{3} \cdot 5 \)	\( 2^{8} \cdot 5^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.39	2Cs	$40$	$192$	$3$	$1$	$1$		$3$	$2$	$-0.548787$	$148176/25$	$1.09175$	$4.73080$	$[0, 0, 0, -7, -6]$	\(y^2=x^3-7x-6\)	2.6.0.a.1, 4.24.0-4.a.1.1, 8.48.0-8.g.1.1, 20.48.0-20.b.1.1, 40.192.3-40.bk.1.5	$[ ]$	$1$
40.a3	40a3	40.a	40a	$4$	$4$	\( 2^{3} \cdot 5 \)	\( 2^{4} \cdot 5 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.39	2B	$80$	$192$	$3$	$1$	$1$		$3$	$4$	$-0.895361$	$55296/5$	$1.01898$	$3.71198$	$[0, 0, 0, -2, 1]$	\(y^2=x^3-2x+1\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.1, 10.6.0.a.1, 16.48.0-16.i.1.1, $\ldots$	$[ ]$	$2$
40.a4	40a4	40.a	40a	$4$	$4$	\( 2^{3} \cdot 5 \)	\( - 2^{10} \cdot 5^{4} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.48.0.2	2B	$80$	$192$	$3$	$1$	$1$		$3$	$4$	$-0.202214$	$237276/625$	$1.04671$	$5.57781$	$[0, 0, 0, 13, -34]$	\(y^2=x^3+13x-34\)	2.3.0.a.1, 4.48.0-4.c.1.1, 40.96.1-40.dk.1.1, 80.192.3.?	$[ ]$	$1$

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