Question

Let $E/\Bbb{Q}:y^2=x^3＋x$ has CM over $ \Bbb{Q}( \sqrt{-1})$. How can I prove a reduction of isogeny $[1＋2\sqrt{-1}]$ is inseparable?

score 130 · Answer 1 · 2026-03-25 14:25:30

130

Views

Let $E/\Bbb{Q}:y^2=x^3＋x$ has CM over $ \Bbb{Q}( \sqrt{-1})$. How can I prove a reduction of isogeny $[1＋2\sqrt{-1}]$ is inseparable?

Published on 25 Mar 2026 - 14:25

score 57 · Answer 2 · 2026-04-14 14:12:30

57

Views

Notation Question From Ribet's "From the Taniyama-Shimura Conjecture to Fermat’s Last Theorem"

Published on 14 Apr 2026 - 14:12

score 46 · Answer 3 · 2026-04-11 14:09:19

46

Views

Existence of automorphism $\alpha:E\to E$ s.t. $\alpha(G_1)=G_2$ if $E/G_1\cong E/G_2$ where $E$ is an elliptic curve.

Published on 11 Apr 2026 - 14:09

score 156 · Answer 4 · 2026-04-14 17:10:56

156

Views

If $X$ is an elliptic curve, what is the image of $P$ under the map determined by $|3P|$?

Published on 14 Apr 2026 - 17:10

score 43 · Answer 5 · 2026-04-12 16:56:06

43

Views

Prove that $\mathbb{Z}_p$ is isomorphic to $End(\mathbb{Z}_p)$

Published on 12 Apr 2026 - 16:56

score 168 · Answer 6 · 2026-04-09 15:04:33

168

Views

Are (twisted) Edwards curves actually groups?

Published on 09 Apr 2026 - 15:04

score 142 · Answer 7 · 2026-03-30 08:00:12

142

Views

Let $E$ be an elliptic curve which has CM by $ \Bbb{Q}( \sqrt{-5})$ with j invariant $63200+282880\sqrt{5}$

Published on 30 Mar 2026 - 8:00

score 135 · Answer 8 · 2026-04-12 19:21:27

135

Views

Fields of math to learn to understand this paper

Published on 12 Apr 2026 - 19:21

score 51 · Answer 9 · 2023-01-04 09:05:54

51

Views

Let $E:y^2=x^3+x$ be an elliptic curve.$(x,y)→(-x,iy)$ goes to both $(x,y)→(-x,2y)$, $(x,y)→(-x,3y)$?

Published on 04 Jan 2023 - 9:05

score 30 · Answer 10 · 2026-04-13 08:29:06

30

Views

Confusions about Divisors of F on Elliptic Curves

Published on 13 Apr 2026 - 8:29

score 104 · Answer 11 · 2026-04-10 13:45:49

104

Views

Computing the constant in BSD conjecture

Published on 10 Apr 2026 - 13:45

score 85 · Answer 12 · 2026-04-13 08:24:27

85

Views

Question Regarding Section 4 of Chapter 7 in Cornell-Silverman-Stevens “Modular Forms and Fermat’s Last Theorem.”

Published on 13 Apr 2026 - 8:24

score 90 · Answer 13 · 2026-04-14 11:18:38

90

Views

Reference Request from Chapter 12 of "Modular Forms and Fermat's Last Theorem"

Published on 14 Apr 2026 - 11:18

score 65 · Answer 14 · 2026-04-13 18:39:51

65

Views

Why is an elliptic curve over a finite field symmetric about $y=p/2$?

Published on 13 Apr 2026 - 18:39

score 63 · Answer 15 · 2026-04-13 23:01:06

On an elliptic curve over a finite field, why does the line(s) connecting two points also cross the third point with suitable integer coordinates?

List Question

Let $E/\Bbb{Q}:y^2=x^3＋x$ has CM over $ \Bbb{Q}( \sqrt{-1})$. How can I prove a reduction of isogeny $[1＋2\sqrt{-1}]$ is inseparable?

Notation Question From Ribet's "From the Taniyama-Shimura Conjecture to Fermat’s Last Theorem"

Existence of automorphism $\alpha:E\to E$ s.t. $\alpha(G_1)=G_2$ if $E/G_1\cong E/G_2$ where $E$ is an elliptic curve.

If $X$ is an elliptic curve, what is the image of $P$ under the map determined by $|3P|$?

Prove that $\mathbb{Z}_p$ is isomorphic to $End(\mathbb{Z}_p)$

Are (twisted) Edwards curves actually groups?

Let $E$ be an elliptic curve which has CM by $ \Bbb{Q}( \sqrt{-5})$ with j invariant $63200+282880\sqrt{5}$

Fields of math to learn to understand this paper

Let $E:y^2=x^3+x$ be an elliptic curve.$(x,y)→(-x,iy)$ goes to both $(x,y)→(-x,2y)$, $(x,y)→(-x,3y)$?

Confusions about Divisors of F on Elliptic Curves

Computing the constant in BSD conjecture

Question Regarding Section 4 of Chapter 7 in Cornell-Silverman-Stevens “Modular Forms and Fermat’s Last Theorem.”

Reference Request from Chapter 12 of "Modular Forms and Fermat's Last Theorem"

Why is an elliptic curve over a finite field symmetric about $y=p/2$?

On an elliptic curve over a finite field, why does the line(s) connecting two points also cross the third point with suitable integer coordinates?

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