What Is The Definition Of The J-invariant Of An Elliptic Curve?
Let’s learn what Is The Definition Of The J-invariant Of An Elliptic Curve. The most accurate or helpful solution is served by Mathematics.
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It seems that most introductory books on elliptic curves simply state the definition of the j-invariant of an elliptic curve without giving any background on how that definition was conceived. Of course, for moduli reasons, it is clear why one might want such an invariant, but the actual formula has always seemed quite mysterious to me. Does anyone know of a nice self-contained source that explains the definition of the j-invariant?
Answer:
Actually, Ravi Vakil's notes give a great reason (modulo the strange constant out front). This explanation...
user6960 at Mathematics Mark as irrelevant Undo
Other solutions
I am wondering how one should understand EC's. One can define an EC abstractly by letting E/K be a projective smooth curve of genus 1 with a K-rational point O. What is the difference between this definition and the Weierstrass equation. Should one understand...
Answer:
The Weierstrass equation, in homogenous form, has a set of solutions which forms a smooth projective...
Alon Amit at Quora Mark as irrelevant Undo
Following the immense success of Why is the Mandelbrot set a fractal? I'm asking another "seed" question. If this doesn't attract much attention I'll try to answer it myself, but I'd really rather hear from people who work with elliptic curves...
Answer:
The question WHY there is a group law on the elliptic curves is one that can't really be answered in...
Harris B. Daniels at Quora Mark as irrelevant Undo
Basically, for elliptic curve cryptography purposes, what are the advantages of using elliptic curves which are defined over a binary field over the elliptic curves which are defined over a prime field and vice-versa, in terms of performance(speed) and...
Answer:
Security: There are no known attacks that greatly weaken either class of curves. However, there is...
Michael Hamburg at Quora Mark as irrelevant Undo
Hey guys, I hope everyone is doing well today. I'm urgently looking for some help with Elliptic Curve Cryptosystems(ECCs). Basically, I have to design a public-key cryptosystem using elliptic curve for email encryption(using C). It basically must have...
Answer:
First off let me say that the math on this question is a tad out of my league, however I did attempt...
jinx28 at Yahoo! Answers Mark as irrelevant Undo
Definition of "bound by curve and x axis" "bounded by the curve and x- and y-axis" I have a differentiation test wednesday, no problem with process but am confused by these terms could someone explain :) ?
Answer:
Draw a picture. It's the inclosed region of the x-axis, y-axis, and the curve. Sometimes they say "...
folb695 at Yahoo! Answers Mark as irrelevant Undo
Hi all....................... I am doing my academic project on " Elliptic curve cryptography for text and image encryption". using MATLAB. I am facing problem to code in ...show more
Answer:
Why those little---Ugh, prisoner! What happened to our mutual agreement? I can give you a clean slate...
7D36JPJBOURVAHSOS4UWXNGWQQ at Yahoo! Answers Mark as irrelevant Undo
Imagine that i have a curve defined in three dimensions. Superimposing one sphere in each point of the curve I would have a kind of a tunnel. What is the mathematical definition of this geometrical construction?
Answer:
You're pretty close to talking about a "tubular neighbourhood" (see e.g. http://en.wikipedia...
Robert Harron at Quora Mark as irrelevant Undo
Have these crytographic protocols, or any other commonly used cryptographic schemes, been proven to be secure or insecure? "Security" might be defined as, for instance, "there does not exist a better-than-brute-force way to break the scheme...
Answer:
OK, let's start from the bottom. I'll ignore implementation-specific attacks such as side channels...
Michael Hamburg at Quora Mark as irrelevant Undo
All of the following apply to the definition of a demand curve EXCEPT: A. Market demand is the sum of individual demand curves B. Individual demand curves reflect individual or private benefits C. Market demand reflects social costs D. Market demand...
Answer:
I do agree to go for C. The key is social or private. Demand will represent private cost and benefits...
James at Yahoo! Answers Mark as irrelevant Undo
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