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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

Intrinsic torsion order

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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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
2376.a1	2376d1	2376.a	2376d	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 11 \)	\( - 2^{11} \cdot 3^{3} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$264$	$2$	$0$	$1$	$1$		$0$	$384$	$-0.200804$	$18522/11$	$0.95568$	$2.66907$	$1$	$[0, 0, 0, 21, 6]$	\(y^2=x^3+21x+6\)	264.2.0.?	$[ ]$	$1$
2376.b1	2376a1	2376.b	2376a	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 11 \)	\( - 2^{8} \cdot 3^{9} \cdot 11^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.4.0.1		$12$	$8$	$0$	$0.886822482$	$1$		$4$	$1152$	$0.770446$	$-3456000/14641$	$1.01667$	$4.19482$	$1$	$[0, 0, 0, -540, -13932]$	\(y^2=x^3-540x-13932\)	4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1	$[(46, 242)]$	$1$
2376.c1	2376c1	2376.c	2376c	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 11 \)	\( - 2^{8} \cdot 3^{3} \cdot 11^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.4.0.1		$12$	$8$	$0$	$0.244980974$	$1$		$4$	$384$	$0.221140$	$-3456000/14641$	$1.01667$	$3.34681$	$1$	$[0, 0, 0, -60, 516]$	\(y^2=x^3-60x+516\)	4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1	$[(-8, 22)]$	$1$
2376.d1	2376b1	2376.d	2376b	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 11 \)	\( - 2^{11} \cdot 3^{9} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$264$	$2$	$0$	$1$	$1$		$0$	$1152$	$0.348502$	$18522/11$	$0.95568$	$3.51708$	$1$	$[0, 0, 0, 189, -162]$	\(y^2=x^3+189x-162\)	264.2.0.?	$[ ]$	$1$

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