Mordell-Weil Theorem
For Elliptic Curves over the Rationals, 
, the number ofgenerators of the set of Rational Points is always finite. This theorem was proved by Mordell in1921 and extended by Weil in 1928 to Abelian Varieties over Number Fields.
References
Ireland, K. and Rosen, M. ``The Mordell-Weil Theorem.'' Ch. 19 in A Classical Introduction to Modern Number Theory, 2nd ed. New York: Springer-Verlag, pp. 319-338, 1990.
- Picard's Existence Theorem
- Picard's Little Theorem
- Picard's Theorem
- Picard Variety
- Pick's Formula
- Pick's Theorem
- Picone's Theorem
- Piecewise Circular Curve
- Pie Cutting
- Pigeonhole Principle
- Pi Heptomino
- Pillai's Conjecture
- Pilot Vector
- Pinching Theorem
- Pinch Point
- Pine Cone Number
- Piriform
- Pisot-Vijayaraghavan Constants
- Pistol
- Pitchfork Bifurcation
- Pivoting
- Pivot Theorem
- Pizza Theorem
- Place (Digit)
- Place (Field)