Conic fibrations over elliptic curves and the elliptic sieve

Simon Leo Rydin Myerson (University of Warwick)

Wednesday 10th November, 2021 16:00-17:00 Maths 110

Abstract

A theorem of Serre states that almost all plane conics over Q have no rational point. We prove an analogue of this for a family of conics parametrised by an elliptic curve using elliptic divisibility sequences and a version of the Selberg sieve for elliptic curves.

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