# Difference between revisions of "Elliptic curves"

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An elliptic curve can be written as a plane algebraic curve defined by an equation of the form | An elliptic curve can be written as a plane algebraic curve defined by an equation of the form | ||

:<math> y^2=x^3+ax+b\,. </math> | :<math> y^2=x^3+ax+b\,. </math> | ||

− | |||

<jsxgraph width="600" height="400" box="box0"> | <jsxgraph width="600" height="400" box="box0"> | ||

JXG.Options.axis.strokeColor = '#cccccc'; | JXG.Options.axis.strokeColor = '#cccccc'; |

## Revision as of 13:03, 25 March 2011

An elliptic curve can be written as a plane algebraic curve defined by an equation of the form

- [math] y^2=x^3+ax+b\,. [/math]

```
JXG.Options.axis.strokeColor = '#cccccc';
JXG.Options.axis.strokeColor = '#cccccc';
brd = JXG.JSXGraph.initBoard('jxgbox', {originX: 300, originY: 200, unitX: 20, unitY: 20, axis:true});
brd.suspendUpdate();
var b = brd.create('slider',[[1,-3],[10,-3],[-10,0,10]],{name:'a'});
var a = brd.create('slider',[[1,-4],[10,-4],[-10,0,10]],{name:'b'});
var c1 = brd.create('functiongraph', [function(x){ return Math.sqrt(x*x*x+a.Value()*x+b.Value()); }],
{strokeWidth:3,strokeColor:'black'});
var c2 = brd.create('functiongraph', [function(x){ return -Math.sqrt(x*x*x+a.Value()*x+b.Value()); }],
{strokeWidth:3,strokeColor:'black'});
brd.unsuspendUpdate();
```