# Elliptic Curves on a Small Lattice

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A cubic equation is of the form . Given any nine lattice points, a cubic equation can be found whose plot, an elliptic curve, goes through all nine points, as shown in the "Nine-Point Cubic" Demonstration. More than nine lattice points can be covered, even when the lattice is tightly restricted.

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Contributed by: Ed Pegg Jr (June 2011)

Open content licensed under CC BY-NC-SA

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"Elliptic Curves on a Small Lattice"

http://demonstrations.wolfram.com/EllipticCurvesOnASmallLattice/

Wolfram Demonstrations Project

Published: June 1 2011