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Search: Posts Made By: RedGolpe
Forum: Math 2021-01-28, 14:03
Replies: 6
Views: 1,451
Posted By RedGolpe
You are just missing the identity point, or the...

You are just missing the identity point, or the point at infinity.
Forum: Math 2021-01-28, 13:04
Replies: 6
Views: 1,451
Posted By RedGolpe
This...

This (https://math.stackexchange.com/questions/875983/solutions-to-the-mordell-equation-modulo-p) looks like a good answer.
Forum: Math 2021-01-28, 12:06
Replies: 6
Views: 1,451
Posted By RedGolpe
I am familiar with Hasse's theorem, but it says...

I am familiar with Hasse's theorem, but it says nothing about the specific number of points: it only gives a bound.
Forum: Math 2021-01-28, 11:34
Replies: 6
Views: 1,451
Posted By RedGolpe
Number of points on elliptic curves over finite fields

Hi all, I noticed that for elliptic curves of the form

y2 ≡ x3 + a (mod p)

sometimes the number of points is always p+1 for any choice of a. This seems to be the case for all p ≡ 5 (mod 6).
...
Showing results 1 to 4 of 4

 
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