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SUMMARY:Allechar Serrano Lopez (University of Utah)
DTSTART:20210211T220000Z
DTEND:20210211T230000Z
DTSTAMP:20260423T041156Z
UID:UCSD_NTS/26
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCSD_NTS/26/
 ">Counting elliptic curves with prescribed torsion over imaginary quadrati
 c fields</a>\nby Allechar Serrano Lopez (University of Utah) as part of UC
 SD number theory seminar\n\nLecture held in normally APM 7321\, currently 
 online.\n\nAbstract\nA generalization of Mazur's theorem states that there
  are 26 possibilities for the torsion subgroup of an elliptic curve over a
  quadratic extension of $\\mathbb{Q}$. If $G$ is one of these groups\, we 
 count the number of elliptic curves of bounded naive height whose torsion 
 subgroup is isomorphic to $G$ in the case of imaginary quadratic fields.\n
 \npre-talk\n
LOCATION:https://researchseminars.org/talk/UCSD_NTS/26/
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