isogeny

Noun

isogeny (countable and uncountable, plural isogenies)

1. The condition of being isogenous.
2. An epimorphism of group schemes that is surjective and has a finite kernel.
   • It is clear that if G#95;2 is connected, then two of the defining properties of an isogeny imply the third.2000, Marc Hindry, Joseph H. Silverman, Diophantine Geometry: An Introduction, Springer, page 95
   • Lemma 2.2 Let E be an elliptic curve such that Z [π] is maximal at 𝓁. If there exists an 𝓁-isogeny of E, then this 𝓁-isogeny is an horizontal 𝓁-isogeny.2002, Mireille Fouquet, François Morain, Isogeny Volcanoes and the SEA Algorithm, Claus Fieker, David R. Kohel (editors), Algorithmic Number Theory: 5th International Symposium, Proceedings...