isogeny

noun

1. (countable, uncountable)The condition of being isogenous.
2. (countable, uncountable)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.”

   “2002, Mireille Fouquet, François Morain, Isogeny Volcanoes and the SEA Algorithm, Claus Fieker, David R. Kohel (editors), Algorithmic Number Theory: 5th International Symposium, Proceedings, Springer, LNCS 2369, page 279, 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.”