Pseudolemniscate Case

The case of the Weierstrass elliptic function with invariants  and . The half-periods for this case are  and , where  is the lemniscate constant and

(OEIS A085565).

REFERENCES:

Abramowitz, M. and Stegun, I. A. (Eds.). "Pseudo-Lemniscate Case (, )." §18.15 in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, pp. 662-663, 1972.

Sloane, N. J. A. Sequence A085565 in "The On-Line Encyclopedia of Integer Sequences."