Fast algorithms for computing isogenies between elliptic curves
Bostan, Alin · Salvy, Bruno · Morain, Francois · Schost, Eric
Original · EN
We survey algorithms for computing isogenies between elliptic curves defined over a field of characteristic either 0 or a large prime. We introduce a new algorithm that computes an isogeny of degree ℓ (ℓ different from the characteristic) in time quasi-linear with respect to ℓ. This is based in particular on fast algorithms for power series expansion of the Weierstrass -function and related functions.
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