The LMS JCM, (11) 172-212. Published 30 Jul 2008. First received 29 Nov 2007.


Ranks of elliptic curves over function fields

Alan G. B. Lauder



Abstract: 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.

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Appendix A : This appendix contains MAGMA programs referred to in the paper.

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