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Cowan, Alex
2021.
Arithmetic Geometry, Number Theory, and Computation.
p.
335.
Published online by Cambridge University Press: 01 February 2010
We present experimental evidence to support the widely held belief that one half of all elliptic curves have infinitely many rational points. The method used to gather this evidence is a refinement of an algorithm due to the author which is based upon rigid and crystalline cohomology.