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Oct 26, 2022 at 16:15 comment added Damian Rössler @Chris Wuthrich. Yes of course. My question was really for the inseparable case.
Oct 26, 2022 at 14:21 comment added Chris Wuthrich The case when the characteristic of the field is coprime to the degree of the isogeny is of course older, like Theorem 5 in Lang-Tate. (jstor.org/stable/2372778)
Oct 26, 2022 at 14:19 vote accept Damian Rössler
Oct 26, 2022 at 14:19 comment added Damian Rössler Great, thank you so much! This is indeed what I was looking for.
Oct 26, 2022 at 14:04 history answered anon CC BY-SA 4.0