Distribution of Mordell–Weil ranks of families of elliptic curves
Tom 108 / 2016
Banach Center Publications 108 (2016), 201-229
MSC: Primary 14H52; Secondary 11D25, 11D45, 11G05.
DOI: 10.4064/bc108-0-16
Streszczenie
We discuss the distribution of Mordell–Weil ranks of the family of elliptic curves where f,g,h are coprime polynomials that parametrize the projective smooth conic a^2+b^2=c^2 and \alpha,\beta,\gamma are elements from \overline{\mathbb{Q}}. In our previous papers we discussed certain special cases of this problem and in this article we complete the picture by proving the general results.
