Holmstrom Elliptic curves

http://mathoverflow.net/questions/2022/definition-and-meaning-of-the-conductor-of-an-elliptic-curve

[arXiv:1207.0287] On the Selmer groups and Mordell-Weil groups of elliptic curves $y^{2} = x (x \pm p) (x \pm q)$ over imaginary quadratic number fields of class number one fra arXiv Front: math.NT av Xiumei Li Let $p$ and $q$ be odd prime numbers with $q - p = 2,$ the $\varphi -$Selmer groups, Shafarevich-Tate groups ($\varphi -$ and $2-$part) and their dual ones as well the Mordell-Weil groups of elliptic curves $y^{2} = x (x \pm p) (x \pm q)$ over imaginary quadratic number fields of class number one are determined explicitly in many cases.

nLab page on Elliptic curves