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WeierstrassHalfPeriods

  • WeierstrassHalfPeriods[ , ] gives the half-periods for Weierstrass elliptic functions corresponding to the invariants , .
  • Mathematical function (see Section A.3.10).
  • The half-periods define the fundamental period parallelogram for the Weierstrass elliptic functions.
  • WeierstrassHalfPeriods is the inverse of WeierstrassInvariants.
  • See the Mathematica book: Section 3.2.11.
  • See also: WeierstrassP, InverseWeierstrassP, ModularLambda.

    Further Examples

    WeierstrassHalfPeriods returns one pair of half-periods for the elliptic curve with equation .

    In[1]:=

    Out[1]=

    Applying WeierstrassInvariants to the result gives back the pair . See additional explanations and examples under WeierstrassInvariants.

    In[2]:=

    Out[2]=