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    Torsion points on y²=x⁶+1

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    Author
    Voloch JF
    Date
    1997
    Permanent Link
    http://hdl.handle.net/10092/13450

    Let C be the curve y²=x⁶+1 of genus 2 over a field of characteristic zero. Consider C embedded in its Jacobian J by sending one of the points at infinity on C to the origin of J. In this brief note we show that the points of C whose image on J are torsion are precisely the two points at infinity and the six points with y=0.

    Subjects
    math.NT
     
    Field of Research::01 - Mathematical Sciences::0101 - Pure Mathematics::010101 - Algebra and Number Theory
    Collections
    • Engineering: Reports [684]

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