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Ordinary isogeny

Ordinary isogeny search

Construct an isogeny between ordinary curves with the same endomorphism ring.

2 variants · 2 entries. Compare bounds only within the same variant.

COMPARISON VARIANTREGIME / INSTANCEENTRIESBEST c
Ordinary isogenyClassical · horizontal isogeniesClassical · HeuristicTwo ordinary curves over F_q with the same cardinality and endomorphism ringSame endomorphism ring10.25 Ordinary isogenyQuantum · GRHQuantum · Conditional on GRHHorizontally isogenous ordinary elliptic curves over F_qSame endomorphism ring10.866025