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SUMMARY:Reducibility and rational torsion in elliptic curves
DTSTART;VALUE=DATE-TIME:20230104T090000Z
DTEND;VALUE=DATE-TIME:20230104T100000Z
DTSTAMP;VALUE=DATE-TIME:20230329T093649Z
UID:indico-event-8745@cern.ch
DESCRIPTION:Abstract : Let $A$ be an optimal elliptic curve over $\\mathbb
{Q}$ and let $N$ denote its conductor. Suppose $N$ is square-free and $r$
is a prime such that $r$ does not divide $6N$. We show that if $A[r]$ is r
educible\, then $A$ has a rational $r$-torsion point. We give an applicati
on of this result to the second part of the Birch and Swinnerton-Dyer conj
ecture for $A$.\n\nThis is joint work with Matthew Winters.\n\nhttps://ind
ico.tifr.res.in/indico/conferenceDisplay.py?confId=8745
LOCATION: AG-77
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8745
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