Watkins's conjecture for elliptic curves with a rational torsion

Subham Bhakta, Srilakshmi Krishnamoorthy

Watkins's conjecture suggests that for an elliptic curve $E/\mathbb{Q}$, the rank of the group $E(\mathbb{Q})$ of rational points is bounded above by ${\nu }_2(m_E)$, where $m_E$ is th…