# Integral Points of Elliptic Curve y^2 = x^3+3x

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## Theorem

The elliptic curve:

- $y^2 = x^3 + 3 x$

has exactly $7$ lattice points:

- $\tuple {0, 0}, \tuple {1, \pm 2}, \tuple {3, \pm 6}, \tuple {12, \pm 42}$

## Proof

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## Sources

- The LMFDB Collaboration,
*The L-functions and Modular Forms Database*, Elliptic Curve 288/a/2, $2013$ [Online; accessed 18-Jul-2019]