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Results tagged with isogenies
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user 478525
2
votes
0
answers
70
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Detect all isogenies of an elliptic curve over a given number field
Given $K$ a number field and $E/K$ an elliptic curve, is there an algorithm which gives all the elliptic curves $F/K$ isogenous to $E$ (up to isomorphism)?
Or is there a bound on how many $F/K$ are …
- 7,127
3
votes
1
answer
239
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Computing explicit isogenies between elliptic curves over different kinds of fields
One way to do it is to use Mazur's theorem to bound the degree of possible isogenies for $E$. Then we can construct all isogenies up to that degree (can this be done by Velu's formulæ?) … Is there any way to list all of the isogenies of an elliptic curve over a finite field? …
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