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Mestre's algorithm for constructing hyperelliptic curves has been implemented see ticket #6341 but it only works for generic curve.
.. TODO::
Mestre's algorithm only works for generic curves of genus two, so an other algorithm is needed for those curves with extra automorphism
sage: P.<x> = QQ[]
sage: C = HyperellipticCurve(x^6+1)
sage: HyperellipticCurve_from_invariants(C.igusa_clebsch_invariants()) # todo: not implemented
The missing case can be taken from the article of Cardona and Quer
Mestre's algorithm for constructing hyperelliptic curves has been implemented see ticket #6341 but it only works for generic curve.
The missing case can be taken from the article of Cardona and Quer
Depends on #6341
CC: @mstreng
Component: number theory
Keywords: mestre algorithm genus 2 hyperelliptic curves
Issue created by migration from https://trac.sagemath.org/ticket/12199
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