Computing isogenies from modular equations between Jacobians of genus 2 curves Article Swipe
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Jean Kieffer
,
Aurel Page
,
Damien Robert
·
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2001.04137
· OA: W2999743071
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2001.04137
· OA: W2999743071
Let k be a field of large enough characteristic. We present an algorithm solving the following problem: given two genus 2 curves over k with isogenous Jacobians, compute an isogeny between them explicitly. This isogeny can be either an ℓ-isogeny or, in the real multiplication case, an isogeny with cyclic kernel. The algorithm uses modular equations for these isogeny types.
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