Distribution of Mordell-Weil ranks of families of elliptic curves

Bartosz Naskręcki. "Distribution of Mordell-Weil ranks of families of elliptic curves." Banach Center Publications 108.1 (2016): 201-229. <http://eudml.org/doc/286252>.

@article{BartoszNaskręcki2016,
abstract = {We discuss the distribution of Mordell-Weil ranks of the family of elliptic curves y² = (x + αf²)(x + βbg²)(x + γh²) where f,g,h are coprime polynomials that parametrize the projective smooth conic a² + b² = c² and α,β,γ are elements from ℚ̅. 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.},
author = {Bartosz Naskręcki},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {201-229},
title = {Distribution of Mordell-Weil ranks of families of elliptic curves},
url = {http://eudml.org/doc/286252},
volume = {108},
year = {2016},
}

TY - JOUR
AU - Bartosz Naskręcki
TI - Distribution of Mordell-Weil ranks of families of elliptic curves
JO - Banach Center Publications
PY - 2016
VL - 108
IS - 1
SP - 201
EP - 229
AB - We discuss the distribution of Mordell-Weil ranks of the family of elliptic curves y² = (x + αf²)(x + βbg²)(x + γh²) where f,g,h are coprime polynomials that parametrize the projective smooth conic a² + b² = c² and α,β,γ are elements from ℚ̅. 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.
LA - eng
UR - http://eudml.org/doc/286252
ER -