5 citations · 16 across the 33 of their papers we have counts for
Showing 2010Show all
3 papers · 1 filter
math.NT2010★ 1 cited
On Quadratic Twists of Hyperelliptic Curves
Mohammad Sadek
Let C be a hyperelliptic curve of good reduction defined over a discrete valuation field K with algebraically closed residue field k. Assume moreover that char k \ne 2. Given d \in…
math.NT2010★ 1 cited
Counting Models of Genus One Curves
Mohammad Sadek
Let C be a soluble smooth genus one curve over a Henselian discrete valuation field. There is a unique minimal Weierstrass equation defining C up to isomorphism. In this paper we c…
math.NT2010★ 5 cited
Minimal Genus One Curves
Mohammad Sadek
In this paper we consider genus one equations of degree n, namely a (generalised) binary quartic when n = 2, a ternary cubic when n = 3, and a pair of quaternary quadrics when n =…