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In [[mathematics]], and in particular the study of [[Weierstrass elliptic function]]s, the '''lemniscatic case''' occurs when the Weierstrass invariants satisfy ''g''<sub>2</sub>=1 and ''g''<sub>3</sub>=0. This page follows the terminology of [[Abramowitz and Stegun]]; see also the [[equianharmonic]] case.
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The case ''g''<sub>2</sub>=''a'', ''g''<sub>3</sub>=0 may be handled by a scaling transformation. However, this may involve complex numbers. If it is desired to remain within real numbers, there are two cases to consider: ''a''>0 and ''a''<0.
==References==
*{{AS ref|18|627}}
[[Category:Modular forms]]
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