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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
91.a1	91a1	91.a	91a	$1$	$1$	\( 7 \cdot 13 \)	\( - 7 \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$182$	$2$	$0$	$0.142392150$	$1$		$6$	$4$	$-0.936330$	$110592/91$	$0.71571$	$2.57459$	$[0, 0, 1, 1, 0]$	\(y^2+y=x^3+x\)	182.2.0.?	$[(0, 0)]$	$1$
91.b1	91b3	91.b	91b	$3$	$9$	\( 7 \cdot 13 \)	\( - 7^{9} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	9.24.0.3	3B.1.2	$1638$	$144$	$3$	$0.117693898$	$1$		$10$	$36$	$0.360104$	$-178643795968/524596891$	$1.15023$	$6.14356$	$[0, 1, 1, -117, -1245]$	\(y^2+y=x^3+x^2-117x-1245\)	3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 117.72.0.?, 182.2.0.?, 546.16.0.?, $\ldots$	$[(15, 24)]$	$1$
91.b2	91b1	91.b	91b	$3$	$9$	\( 7 \cdot 13 \)	\( - 7 \cdot 13 \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	9.24.0.1	3B.1.1	$1638$	$144$	$3$	$1.059245086$	$1$		$6$	$4$	$-0.738508$	$-43614208/91$	$0.87141$	$3.90047$	$[0, 1, 1, -7, 5]$	\(y^2+y=x^3+x^2-7x+5\)	3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 117.72.0.?, 182.2.0.?, 546.16.0.?, $\ldots$	$[(3, 4)]$	$1$
91.b3	91b2	91.b	91b	$3$	$9$	\( 7 \cdot 13 \)	\( - 7^{3} \cdot 13^{3} \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.24.0.1	3Cs.1.1	$1638$	$144$	$3$	$0.353081695$	$1$		$10$	$12$	$-0.189202$	$224755712/753571$	$0.95798$	$4.61061$	$[0, 1, 1, 13, 42]$	\(y^2+y=x^3+x^2+13x+42\)	3.24.0-3.a.1.1, 117.72.0.?, 182.2.0.?, 546.48.1.?, 1638.144.3.?	$[(-2, 3)]$	$1$

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