For Hobbyists & Makers · Elliptic Curve
Elliptic Curve for a certificate
Built for hobbyists & makers exploring it for fun. Play with real physics and math, no license and no setup — just open and tinker. Simulate a certificate live below — adjust the inputs and watch it respond, right in your browser.
Elliptic Curve AdditionLive
the geometry behind ECC
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On an elliptic curve y² = x³ + ax + b, you "add" two points with a geometric rule: draw the line through P and Q, find where it meets the curve again, and reflect that point over the x-axis. Repeating this addition is easy, but reversing it — the elliptic-curve discrete log — is brutally hard, which is what makes ECC secure with far smaller keys than RSA.
Data Inspector
Slope-0.14
P+Q (x)0.52
P+Q (y)-0.79
Governing equation
Reading this result: The secant through P and Q meets the curve at a third point; reflecting it across the x-axis gives P+Q. Repeating this is easy, but undoing it (the discrete log) is what secures ECC.
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Frequently asked questions
- Is this good for hobbyists & makers?
- Yes — this version of "Elliptic Curve for a certificate" is framed for hobbyists & makers exploring it for fun. Play with real physics and math, no license and no setup — just open and tinker.
- Do I need to install anything?
- No. It runs in any modern browser, free, with no account required.