Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
A141144
X values of the complete set of 23 integer solutions to the Ochoa curve equation.
1
-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.
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
KEYWORD
fini,full,sign
AUTHOR
Jonathan Vos Post, Jun 10 2008
STATUS
approved