Explicit points on the Legendre elliptic curve

Series: 
Algebra Seminar
Monday, March 1, 2010 - 14:00
1 hour (actually 50 minutes)
Location: 
Skiles 171
,  
Georgia Tech
Organizer: 
It turns out to be very easy to write down interesting points on the classical Legendre elliptic curve y^2=x(x-1)(x-t) and show that they generate a group of large rank.  I'll give some basic background, explain the construction,  and discuss related questions which would make good thesis projects (both MS and PhD).