KleinInvariantJ
 Usage
• KleinInvariantJ[ ] 给出Klein不变模椭圆函数  .
Notes
• 数学函数(参见 节 A.3.10).
• 自变量  是Weierstrass半周期  的比值。 • KleinInvariantJ 根据由  决定的Weierstrass不变量给出。 •  是在模变换  和  的任何组合下的不变量。
• 参见 3.2.11 节椭圆函数的自变量约定的讨论。 • 参见 Mathematica 全书 : 节 3.2.11.
 Further Examples
The Klein invariant  is an invariant of elliptic curves, equal to  , where  are the Weierstrass coefficients. The function KleinInvariantJ takes as its argument the ratio between half-periods of the curve, rather than the Weierstrass coefficients.
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Two ratios  and  yield the same  if and only if  , for some integers  with  . Values of  thus related can be regarded as coming from different possible pairs of periods for the same elliptic curve (that is, different fundamental parallelograms).
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These numbers are integers.
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