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Aug 22, 2021 at 9:27 comment added random123 @FelipeVoloch Thank you for your comment. I have tried to outline the argument as suggested by you. Is the argument which I have included in the update section in the question above correct?
Aug 22, 2021 at 9:23 history edited random123 CC BY-SA 4.0
Added an outline of an argument to check its validity.
Aug 21, 2021 at 8:08 comment added Felipe Voloch If the order of $sp_{\nu}(P)$ is not divisible by $\ell$, then $sp_{\nu}(P)$ is divisible by $\ell$ in $A_{\nu}(k_{\nu})$.
Aug 20, 2021 at 17:38 history asked random123 CC BY-SA 4.0