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Let C be a 4-cover of an elliptic curve E, written as a quadric intersection in P^3. Let E' be another elliptic curve with 4-torsion isomorphic to that of E. We show how to write down the 4-cover C' of E' with the property that...

Elliptic curves Tate-Shafarevich groups Mazur visibility descent K3 surfaces Local-global obstructions