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Explicit 5-descent on elliptic curves
Explicit 5-descent on elliptic curves Tom FisherWe compute equations for genus-one curves representing nontrivial elements of order 5 in the Tate-Shafarevich group of an elliptic curve.We explain how to write the equations in terms of Pfaffians and give examples for elliptic curves over the rationals both with and without a …