Stroeker, R.J.

point equation polynomial curve elliptic integer solution genus example degree coefficient integer solutions value section q-derived number series elliptic curves function elliptic logarithms q-derived polynomial puiseux field puiseux expansions point p order expansion integral paper logarithm weierstras proof elliptic diophantine equations puiseux series method mordell-weil basis maple lemma stroeker algorithm degree 4 number field k r e 1 ellog height notation coordinate tzanaki k-derived genus 1 acta arith elliptic equation quartic degv f diophantine curve c discriminant remark van hoeij basis series vi computation proposition abscissa description reader birational transformation relation section 2.5 curves e 1 2 v 2 values c 1 hoeij conjugate genus 1 equation identity f equation f ~ ~ ~ birational transformation