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> | ||
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<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();
