Finding rational points on bielliptic genus 2 curves

We discuss a technique for trying to find all rational points on curves of the form Y2 = f3X6 + f2X4 + f1X2 + f0, where the sextic has nonzero discriminant. This is a bielliptic curve of genus 2. When the rank of the Jacobian is 0 or 1, Chabauty's Theorem may be applied. However, we shall conce...

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Bibliographic Details
Main Authors: Flynn, E, Wetherell, J
Format: Journal article
Language:English
Published: 1999