Infinite family of elliptic curves of rank at least 4

2009/09/18 by Naskrecki, Bartosz
#11D25 #11G05 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.0909.3424

Abstract

We investigate ℚ-ranks of the elliptic curve E_t: y²+txy=x³+tx²-x+1 where t is a rational parameter. We prove that for infinitely many values of t the rank of E_t(ℚ) is at least 4.

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