The case of the Weierstrass elliptic function with invariants g_2 = 1 and g_3 = 0. In this case, the half-periods are given by (ω_1, ω_2) = (ω, i ω), where ω is 1/(2sqrt(2)) times the lemniscate constant, ω | = | L/(2sqrt(2)) | = | [Γ(1/4)]^2/(4sqrt(π)) | = | 1.85407... (OEIS A093341, p. 658).

equianharmonic case | lemniscate constant | pseudolemniscate case | Weierstrass elliptic function