Twists of hyperelliptic curves by integers in progressions modulo $p$
Volume 192 / 2020
Acta Arithmetica 192 (2020), 63-71
MSC: Primary 11N32; Secondary 11N36, 11G30.
DOI: 10.4064/aa180702-20-3
Published online: 7 October 2019
Abstract
Let $f(x)$ be a nonconstant polynomial with integer coefficients and nonzero discriminant. We study the distribution modulo primes of the set of squarefree integers $d$ such that the curve $dy^2=f(x)$ has a nontrivial rational or integral point.
