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SUMMARY:Internal Preprint Seminar: Congruences of Elliptic Curves with Sma
 ll Conductor - Sam Frengley (University of Cambridge)
DTSTART:20201103T143000Z
DTEND:20201103T153000Z
UID:TALK152770@talks.cam.ac.uk
CONTACT:Rong Zhou
DESCRIPTION:Elliptic curves are said to be p-congruent if their p-torsion 
 subgroups are isomorphic as Galois modules. I will discuss work of Cremona
  and Freitas which shows that for p > 17 there are no nontrivial p-congrue
 nces of elliptic curves with conductor less than 500\,000\, as predicted b
 y a conjecture of Frey and Mazur.
LOCATION:Online
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