Which equation describes an elliptic curve?
A.
y3 = x3 + ax + b
B.
x3 = y2 + ab + x
C.
y4 = x2 + ax + b
D.
y2 = x3 + ax + b
E.
y2 = x2 + ax + b2
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This primer blog article also shows the Ochoa elliptic curve function shown in option D.
https://blog.cloudflare.com/a-relatively-easy-to-understand-primer-on-elliptic-curve-cryptography/
See also https://www.wolframalpha.com/input/?i=elliptic+curve
Option E seems to be a form of hyperbolic parabola
I would be interested if others would like to share a more concise answer.
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maybe this is more concise -> http://math.mit.edu/classes/18.783/Lecture1.pdf on page 5 we have the function from answer D which is explained as “An elliptic curve over the real numbers. With a suitable change of variables, every elliptic curve with real
coeffcients can be put in the standard form y2 = x3 + ax + b”
Andrew Sutherland the author of this .pdf (http://math.mit.edu/~drew/) is a research Scientist at the MIT so i think this is a rather trusting source
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maybe this is more concise -> http://math.mit.edu/classes/18.783/Lecture1.pdf on page 5 we have the function from answer D which is explained as “An elliptic curve over the real numbers. With a suitable change of variables, every elliptic curve with real
coeffcients can be put in the standard form y2 = x3 + ax + b”
Andrew Sutherland the author of this .pdf (http://math.mit.edu/~drew/) is a research Scientist at the MIT so i think this is a rather trusting source
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Best Regards!
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