Difference between revisions of "Elliptic curves"

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brd.createElement('text',[12,-4,'(b)']);
 
brd.createElement('text',[12,-4,'(b)']);
  
var c1 = brd.createElement('curve', [function(x){ return x; }, function(x){ return Math.sqrt(x*x*x+a.Value()*x+b.Value()); }, 'x'], {strokeWidth:3,strokeColor:'black'});
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var c1 = brd.createElement('curve', ['x', function(x){ return Math.sqrt(0.2*x*x*x+a.Value()*x+b.Value()); }, 'x'], {strokeWidth:3,strokeColor:'black'});
var c2 = brd.createElement('curve', [function(x){ return x; }, function(x){ return -Math.sqrt(x*x*x+a.Value()*x+b.Value()); }, 'x'], {strokeWidth:3,strokeColor:'black'});
+
var c2 = brd.createElement('curve', ['x', function(x){ return -Math.sqrt(0.2*x*x*x+a.Value()*x+b.Value()); }, 'x'], {strokeWidth:3,strokeColor:'black'});
  
 
brd.unsuspendUpdate();
 
brd.unsuspendUpdate();

Revision as of 20:21, 30 January 2009

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]

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