Tzanakis, N.

equation integer point elliptic genus curve solution coefficient integer solutions section series example function elliptic logarithms puiseux degree value number puiseux expansions polynomial integral expansion logarithm paper weierstras proof elliptic diophantine equations puiseux series method mordell-weil basis point p lemma stroeker algorithm field elliptic curves r e 1 ellog height notation tzanaki genus 1 acta arith elliptic equation diophantine basis maple remark van hoeij proposition series vi curve c computation degv f reader birational description transformation relation k k 0 2 v 2 values c 1 elliptic equations hoeij conjugate identity f type v 2 equation f non-singular point birational transformation genus 1 equation r e 0 mark van hoeij ~ ~ ~ notes 3 notes 1 case 1 situation elliptic logarithm method genus 1. 3 v 2