Top 5 Elliptic Curves

In this video, I discuss my top 5 favorite elliptic curves. Also thank you so much for 300 subscribers! I really appreciate it.

[erebology]

Im so glad to finally meet someone else who solved the BSD too.

[BrandonWilliams]

I bloody love this channel. Please keep doing what you're doing

[alef]

I was waiting the whole video for u to mention the Frey Curve lol.

But honestly tho it’s amazing how much hidden power there is in these simple looking equations and how many unexpected connections there are between them and other mathematical subjects which on the surface have nothing to do with them.

Such a beautiful mathematical object.

[jeremy.N]

I love this channel so much. Keep up the amazing content.
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(I do think the popularity of the zeta zero video is directly correlated to the popularity of the Riemann Hypothesis nowaways).

[papeseck]

coz you did great work on the video, thank u for your help o7

[joshhoover]

I believe curve25519 as well as its Edwards form are more widely used than either of the secp256 curves. It is probably the most popular curve in use. It also happens to be the curve used by the tls connection I am using with youtube right now.

Bitcoin chose secp256k1 because it was not in widespread use and it was not the one recommended by the government and therefore it was deemed less likely to have a security weakness that the government knew about.

[smiley_]

"If you come up with a solution to prove this, please let me know in the comments"
Lmao

[diribigal]

Your pronunciation of "torsion" is a little weird, as if you've never heard an English-speaking mathematician say it. Anyway, that's a small nitpick and this is still a cool video

[serajmd]

Hello bro i have a answer of this elliptic curve y²=x³-n²x you can see and check also
Here x={(s²+n²)/[2√(s³-n²s)]}²

y≠0, x≠0, 's' is a first value of 'x' means x=s
For example
y²=x³-6²x
Here 6 is a area
Suppose you have one value
x=12, y=36
x=s=12
Put here
x={(s²+n²)/[2√(s³-n²s)]}²
x={(12²+6²)/[2√12³-6²×12]}²
x=25/4


y=±35/8
Now y²=x³-6²x in this equation we get
x=25/4 , y=35/8
You can do this process again
x=s=25/4
Put there
x={(s²+n²)/[2√(s³-n²s)]}²

You will get one more solution
x=1442401/19600
y=±1726556399/2744000
x=s=1442401/19600
This process you can do again and again you will get more rational solutions of x and y in the elliptic curve

[nikitagurin]

We all know the real top 1 among elliptic curves is y^2=x^3-2