A141144 X values of the complete set of 23 integer solutions to the Ochoa curve equation.

-761, -745, -557, -446, -17, 91, 227, 247, 271, 455, 499, 523, 530, 599, 751, 1003, 1862, 3511, 5287, 23527, 64507, 100102, 1657891

Offset

1,1

Comments

The corresponding Y values are A141145.

References

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.

Links

Table of n, a(n) for n=1..23.

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.

Eric W. Weisstein, Ochoa Curve

Formula

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.

Crossrefs

Cf. A141145.

Sequence in context: A022051 A107515 A151588 * A139664 A160033 A083642

Adjacent sequences: A141141 A141142 A141143 * A141145 A141146 A141147

Keyword

fini,full,sign

Author

Jonathan Vos Post, Jun 10 2008

Status

approved