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The Ochoa curve is the elliptic curve
given in Weierstrass form as
The complete set of 23 integer solutions (where solutions of the form are counted as a single solution) to this equation consists of , (, 4520), (, 13356), (, 14616), (, 10656), (91, 8172), (227, 4228), (247, 3528), (271, 2592), (455, 200), (499, 3276), (523, 4356), (530, 4660), (599, 7576), (751, 14112), (1003, 25956), (1862, 75778), (3511, 204552), (5287, 381528), (23527, 3607272), (64507, 16382772), (100102, 31670478), and (1657891, 2134685628) (Sloane's A141144 and A141145; Stroeker and de Weger 1994).
SEE ALSO:Elliptic Curve, Thue equation
REFERENCES:
Guy, R. K. "The Ochoa Curve." Crux Math. 16, 65-69, 1990.
Ochoa Melida, J. "La ecuacion diofántica ." Gaceta Math. 139-141, 1978.
Sloane, N. J. A. Sequences A141144 and A141145 in "The On-Line Encyclopedia of Integer Sequences."
Stroeker, R. J. and de Weger, B. M. M. "On Elliptic Diophantine equation s that Defy Thue's Method: The Case of the Ochoa Curve." Experiment. Math. 3, 209-220, 1994.