mersenneforum.org - Search Results

		mersenneforum.org > Search Forums
Search Results

Showing results 1 to 4 of 4
Search took 0.01 seconds. Search: Posts Made By: RedGolpe

Forum: Math

2021-01-28, 14:03

Replies: 6

Number of points on elliptic curves over finite fields

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

Number of points on elliptic curves over finite fields

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

Number of points on elliptic curves over finite fields

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

Number of points on elliptic curves over finite fields

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

All times are UTC. The time now is 03:31.

≠ ± ∓ ÷ × · − √ ‰ ⊗ ⊕ ⊖ ⊘ ⊙ ≤ ≥ ≦ ≧ ≨ ≩ ≺ ≻ ≼ ≽ ⊏ ⊐ ⊑ ⊒ ² ³ °
∠ ∟ ° ≅ ~ ‖ ⟂ ⫛
≡ ≜ ≈ ∝ ∞ ≪ ≫ ⌊⌋ ⌈⌉ ∘ ∏ ∐ ∑ ∧ ∨ ∩ ∪ ⨀ ⊕ ⊗ 𝖕 𝖖 𝖗 ⊲ ⊳
∅ ∖ ∁ ↦ ↣ ∩ ∪ ⊆ ⊂ ⊄ ⊊ ⊇ ⊃ ⊅ ⊋ ⊖ ∈ ∉ ∋ ∌ ℕ ℤ ℚ ℝ ℂ ℵ ℶ ℷ ℸ 𝓟
¬ ∨ ∧ ⊕ → ← ⇒ ⇐ ⇔ ∀ ∃ ∄ ∴ ∵ ⊤ ⊥ ⊢ ⊨ ⫤ ⊣ … ⋯ ⋮ ⋰ ⋱
∫ ∬ ∭ ∮ ∯ ∰ ∇ ∆ δ ∂ ℱ ℒ ℓ
𝛢𝛼 𝛣𝛽 𝛤𝛾 𝛥𝛿 𝛦𝜀𝜖 𝛧𝜁 𝛨𝜂 𝛩𝜃𝜗 𝛪𝜄 𝛫𝜅 𝛬𝜆 𝛭𝜇 𝛮𝜈 𝛯𝜉 𝛰𝜊 𝛱𝜋 𝛲𝜌 𝛴𝜎𝜍 𝛵𝜏 𝛶𝜐 𝛷𝜙𝜑 𝛸𝜒 𝛹𝜓 𝛺𝜔