Ochoa Curve
The Elliptic Curve
given in Weierstraß Form as
The complete set of solutions 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) (Stroeker and de Weger 1994).
References
Guy, R. K. ``The Ochoa Curve.'' Crux Math. 16, 65-69, 1990. Ochoa Melida, J. ``La ecuacion diofántica 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.
.'' Gaceta Math. 139-141, 1978.
- Hyperelliptic Integral
- Hyperfactorial
- Hypergeometric Differential Equation
- Hypergeometric Distribution
- Hypergeometric Function
- Hypergeometric Identity
- Hypergeometric Polynomial
- Hypergeometric Series
- Hypergroup
- Hypermatrix
- Hyperparallel
- Hyperperfect Number
- Hyperplane
- Hyperreal Number
- Hyperspace
- Hypersphere
- Hypersphere Packing
- Hypervolume
- Hypocycloid
- Hypocycloid--3-Cusped
- Hypocycloid--4-Cusped
- Hypocycloid Evolute
- Hypocycloid Involute
- Hypocycloid Pedal Curve
- Hypoellipse