Elliptic curves
An elliptic curve can be written as a plane algebraic curve defined by an equation of the form
$$y^2=x^3+ax+b\,.$$ In JSXGraph, elliptic curves can be plotted using the element `implicitcurve` for the equation
$$0 = -y^2 + x^3+ax+b\,.$$
// Define the id of your board in BOARDID
JXG.Options.axis.strokeColor = '#cccccc';
const board = JXG.JSXGraph.initBoard(BOARDID, {
boundingbox: [-15, 10, 15, -10],
axis: true
});
var b = board.create('slider', [[-14, 8], [-4, 8], [-10, 2.10, 10]], {name: 'a', point1: {frozen: true}, point2: {frozen: true}});
var a = board.create('slider', [[-14, 7], [-4, 7], [-10, -9.52, 10]], {name: 'b', point1: {frozen: true}, point2: {frozen: true}});
var c = board.create('implicitcurve', [
(x, y) => -(y**2) + x**3 + a.Value() * x + b.Value()
], {
strokeWidth: 3, strokeColor: JXG.palette.red
});
This example is licensed under a Creative Commons Attribution 4.0 International License.
Please note that you have to mention The Center of Mobile Learning with Digital Technology in the credits.