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One way the Weil pairing for an Abelian Variety $ A/k$ is phrased is the following (for simplicity, let me only deal with the multiplication by $ m$ map ($ [m]$ : A\to A instead of arbitrary isogenies): Define $ P$ to be the group of line bundles $ \mathscr L$ on $ A$ suchRead more

I’ve been reading about Weil pairing from Pairings for Beginners and in section 5.1 an example is given. I took a look on the magma code of that example (see here) and it works. All I did was to change the point $ Q(21,12i)$ which is in the trace zero subgroup in $ 3$ -torsionRead more