Infinite family of elliptic curves of rank at least 4

Bartosz Naskręcki
2010 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