Mathematica Forcing mathematica or geo sketch to graph EC

AI Thread Summary
The discussion revolves around the challenges of graphing elliptic curves, specifically the issue of plotting negative values in Mathematica and Geometry Sketchpad. The original poster is trying to graph the function y=(x^3-x)^(1/2) but finds that only positive values are displayed. A solution is suggested to plot both the positive and negative values of the function by using two separate functions: y=(x^3-x)^(1/2) and y=-(x^3-x)^(1/2). The correct Mathematica command for this is provided, emphasizing the need to use curly brackets instead of parentheses in the plot function. This approach allows for a complete representation of the elliptic curve across both positive and negative values of y.
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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:
\text{Plot[} ((-\sqrt{x^3 - x}), (\sqrt{x^3 - x})) \text{, (x,-10,10)}]

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