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WeierstrassP
WeierstrassP[
u
,
,
] gives the Weierstrass elliptic function  .
Mathematical function (see Section A.3.10).
 gives the value of  for which  .
See Section 3.2.11 for a discussion of argument conventions for elliptic functions.
See the Mathematica book: Section 3.2.11, Section 3.2.11.
See also: InverseWeierstrassP.
Further Examples
WeierstrassP takes as a second argument the coefficients  of the equation of the elliptic curve under consideration (in Weierstrass normal form). If instead we know the periods of the curve, we start by using WeierstrassInvariants.
In[1]:= 
Out[1]= 
This plot illustrates that  has periods  and  (here  and  ).
Evaluate the cell to see the plot.
In[2]:= 
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