Elliptic curve search results

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

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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
37.a1	37a1	37.a	37a	$1$	$1$	\( 37 \)	\( 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$74$	$2$	$0$	$0.051111408$	$1$		$10$	$2$	$-0.996542$	$110592/37$	$0.76978$	$3.21625$	$1$	$[0, 0, 1, -1, 0]$	\(y^2+y=x^3-x\)	74.2.0.?	$[(0, 0)]$	$1$
37.b1	37b2	37.b	37b	$3$	$9$	\( 37 \)	\( 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	27.72.0.2	3B.1.2	$1998$	$1296$	$43$	$1$	$1$		$0$	$6$	$0.222082$	$727057727488000/37$	$1.08598$	$9.47682$	$1$	$[0, 1, 1, -1873, -31833]$	\(y^2+y=x^3+x^2-1873x-31833\)	3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 27.72.0-27.a.1.1, 74.2.0.?, 222.16.0.?, $\ldots$	$[ ]$	$1$
37.b2	37b1	37.b	37b	$3$	$9$	\( 37 \)	\( 37^{3} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	9.72.0.3	3Cs.1.1	$1998$	$1296$	$43$	$1$	$1$		$2$	$2$	$-0.327225$	$1404928000/50653$	$0.97274$	$5.83321$	$1$	$[0, 1, 1, -23, -50]$	\(y^2+y=x^3+x^2-23x-50\)	3.24.0-3.a.1.1, 9.72.0-9.b.1.1, 74.2.0.?, 222.48.1.?, 333.216.4.?, $\ldots$	$[ ]$	$1$
37.b3	37b3	37.b	37b	$3$	$9$	\( 37 \)	\( 37 \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	27.72.0.1	3B.1.1	$1998$	$1296$	$43$	$1$	$1$		$2$	$6$	$-0.876531$	$4096000/37$	$0.88268$	$4.21652$	$3$	$[0, 1, 1, -3, 1]$	\(y^2+y=x^3+x^2-3x+1\)	3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 27.72.0-27.a.1.2, 74.2.0.?, 222.16.0.?, $\ldots$	$[ ]$	$3$

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