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...
Main Authors: | , |
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Format: | Journal article |
Language: | English |
Published: |
1999
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