Lemniscatic elliptic function
（重定向自Lemniscate function）
![A lemniscate of Bernoulli and its two foci](/Images/godic/202501/23/Lemniscate_of_Bernoulli.svg0034.png")
In mathematics, a lemniscatic elliptic function is an elliptic function related to the arc length of a lemniscate of Bernoulli studied by Giulio Carlo de' Toschi di Fagnano in 1718. It has a square period lattice and is closely related to the Weierstrass elliptic function when the Weierstrass invariants satisfy g2 = 1 and g3 = 0.