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Search: id:A141145
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| A141145 |
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Y values of the complete set of 23 integer solutions to the Ochoa curve equation. |
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+0
2
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| 504, 4520, 13356, 14616, 10656, 8172, 4228, 3528, 2592, 200, 3276, 4356, 4660, 7576, 14112, 25956, 75778, 204552, 381528, 3607272, 16382772, 31670478, 2134685628
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The corresponding X values are A141144. (X, +Y) and (X, -Y) are counted as a single solution.
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REFERENCES
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Guy, R. K. "The Ochoa Curve." Crux Math. 16, 65-69, 1990.
Ochoa Melida, J., "La ecuacion diofontica b_0y^3-b_1y^2+b_2y-b_3=z^2." Gaceta Math. 139-141, 1978.
Stroeker, R. J. and de Weger, B. M. M. "On Elliptic Diophantine Equations that Defy Thue's Method: The Case of the Ochoa Curve." Experiment. Math. 3, 209-220, 1994.
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LINKS
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Eric W. Weisstein, Ochoa Curve
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FORMULA
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The Ochoa curve is the elliptic curve 3Y^2 = 2X^3 + 386X^2 + 256X - 58195, given in Weierstrass form as y^2 = x^3 - 440067x + 106074110.
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CROSSREFS
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Cf. A141144.
Sequence in context: A060666 A161005 A061124 this_sequence A166763 A012829 A013973
Adjacent sequences: A141142 A141143 A141144 this_sequence A141146 A141147 A141148
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KEYWORD
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fini,full,nonn
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), Jun 10 2008
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