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X values of the complete set of 23 integer solutions to the Ochoa curve equation.
1

%I #5 Jan 14 2024 14:34:34

%S -761,-745,-557,-446,-17,91,227,247,271,455,499,523,530,599,751,1003,

%T 1862,3511,5287,23527,64507,100102,1657891

%N X values of the complete set of 23 integer solutions to the Ochoa curve equation.

%C The corresponding Y values are A141145.

%D Guy, R. K. "The Ochoa Curve." Crux Math. 16, 65-69, 1990.

%D Ochoa Melida, J., "La ecuacion diofontica b_0y^3-b_1y^2+b_2y-b_3=z^2." Gaceta Math. 139-141, 1978.

%D 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.

%H Stroeker, R. J. and de Weger, B. M. M. <a href="https://scholar.google.nl/citations?view_op=view_citation&amp;hl=en&amp;user=hY56rhoAAAAJ&amp;citation_for_view=hY56rhoAAAAJ:kNdYIx-mwKoC">"On Elliptic Diophantine Equations that Defy Thue's Method: The Case of the Ochoa Curve." Experiment. Math. 3, 209-220, 1994.

%H Eric W. Weisstein, <a href="http://mathworld.wolfram.com/OchoaCurve.html">Ochoa Curve</a>

%F 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.

%Y Cf. A141145.

%K fini,full,sign

%O 1,1

%A _Jonathan Vos Post_, Jun 10 2008