Forcing mathematica or geo sketch to graph EC

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SUMMARY

This discussion focuses on graphing elliptic curves using Mathematica and Geo Sketchpad, specifically addressing the issue of plotting negative values. Users report that both tools default to displaying only positive values for functions like y=(x^3-x)^(1/2). A solution is proposed to graph both the positive and negative branches of the function by using two separate equations: y=(x^3-x)^(1/2) and y=-(x^3-x)^(1/2). The correct Mathematica syntax for plotting these functions over the range of x from -10 to 10 is provided.

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Hello, I'm trying to experiment with eliptic curves a little, but I have a problem with graphing elliptic curves. For example, neither mathematica nor geometry sketchpad graph negative values of curves. Is there anyway to force mathematica or geo sketchpad to plot also negative values of x?
F. ex, when I try to graph y=(x^3-x)^(1/2) it plots only positive values for function. Any ideas?

Thanks,
 
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Well, how about doing two functions:y=(x^3-x)^(1/2) and
y=-(x^3-x)^(1/2)?
 

Mathematica:
[tex]\text{Plot[} ((-\sqrt{x^3 - x}), (\sqrt{x^3 - x})) \text{, (x,-10,10)}][/tex]

Where the brackets '()' are actually '{}'.
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