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math.NT2014
Periodic continued fractions and elliptic curves over quadratic fields
Mohammad Sadek
Let be a square free quartic polynomial defined over a quadratic field such that its leading coefficient is a square. If the continued fraction expansion of $\displaysty…
math.NT2014
On genus one curves of degree 5 with square-free discriminant
Tom Fisher, Mohammad Sadek
We study genus one curves of degree 5 defined by Pfaffians. We give new formulae for the invariants, and prove the equivalence of two different definitions of minimality. As an app…