Ochoa Curve
المؤلف:
Guy, R. K.
المصدر:
"The Ochoa Curve." Crux Math. 16
الجزء والصفحة:
...
10-7-2020
1021
Ochoa Curve
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) (OEIS A141144 and A141145; Stroeker and de Weger 1994).
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 Equations that Defy Thue's Method: The Case of the Ochoa Curve." Experiment. Math. 3, 209-220, 1994.
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