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E. Aylward

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Preprint Aug 2026

On the integral $2$-adic Tate module of elliptic curves

We show that the integral $2$-adic Tate module of an elliptic curve over a complete discretely valued field of odd residue characteristic is determined by its $2$-torsion representation, together with the square class of $c$ and local information about the pairwise differences of the roots of $f$ in a model $E\colon y^...

E. Aylward · 0 citations