An explicit polynomial in p-adic elliptic polylogarithms contains the depth-3 Chabauty-Coleman-Kim set for rank-at-most-2 elliptic curves, conditional on non-vanishing of a p-adic L-function special value.
Bianchi, Quadratic C habauty for (bi)elliptic curves and K im's conjecture , Algebra & Number Theory 14 (2020), no
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p-adic elliptic polylogarithms and cubic Chabauty
An explicit polynomial in p-adic elliptic polylogarithms contains the depth-3 Chabauty-Coleman-Kim set for rank-at-most-2 elliptic curves, conditional on non-vanishing of a p-adic L-function special value.