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Isogenies of elliptic curves over function fields

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 نشر من قبل Richard Griffon
 تاريخ النشر 2020
  مجال البحث
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We prove two theorems concerning isogenies of elliptic curves over function fields. The first one describes the variation of the height of the $j$-invariant in an isogeny class. The second one is an isogeny estimate, providing an explicit bound on the degree of a minimal isogeny between two isogenous elliptic curves. We also give several corollaries of these two results.



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