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Infinite family of elliptic curves of rank at least 4
Involve. A Journal of Mathematics
We investigate -ޑranks of the elliptic curve E t : y 2 + t x y = x 3 + t x 2 − x + 1, where t is a rational parameter. We prove that for infinitely many values of t the rank of E t )ޑ( is at least 4.doi:10.2140/involve.2010.3.297 fatcat:nq6hudjaabaqjleiwiyz4ckplm