Jacobi's family quartic curves [math]y^2 = (1 - x^2)(1- e^2 x^2)[/math], showing the singular point at infinity as [math]\theta[/math] increases.
Goes with my "A primer of elliptic curves" talk, slides [url=https://dev.isen.fr/courses/ComputerScience/fr/slides.html?presentation=mathematiques/misc/ec]here[\url].