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SUMMARY:Allechar Serrano López (University of Utah)
DTSTART:20201102T180000Z
DTEND:20201102T183000Z
DTSTAMP:20260423T021221Z
UID:POINT/17
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/POINT/17/">C
 ounting elliptic curves with prescribed torsion over imaginary quadratic f
 ields</a>\nby Allechar Serrano López (University of Utah) as part of POIN
 T: New Developments in Number Theory\n\n\nAbstract\nA generalization of Ma
 zur's theorem\, proved by Kamienny\, states that there are 26 possibilitie
 s for the torsion subgroup of an elliptic curve over quadratic extensions 
 of the rational numbers. We prove that if $G$ is isomorphic to one of thes
 e subgroups then the elliptic curves up to height $X$ whose torsion is iso
 morphic to $G$ is on the order of $X^{\\frac{1}{d}}$  where $d>1$.\n
LOCATION:https://researchseminars.org/talk/POINT/17/
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