Question

Prove that no triple $(x,y,z)\in\Bbb Z_{>0}^3$, exist such that $3x^2y+3xy^2+6xyz=z^3$

score 91 · Answer 1 · 2022-11-03 08:02:28

91

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Prove that no triple $(x,y,z)\in\Bbb Z_{>0}^3$, exist such that $3x^2y+3xy^2+6xyz=z^3$

Published on 03 Nov 2022 - 8:02

score 108 · Answer 2 · 2026-03-26 17:35:39

108

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Rational points on the the reduction mod $p$ of $X_0(N)$

Published on 26 Mar 2026 - 17:35

score 39 · Answer 3 · 2022-11-04 03:32:16

39

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What is polynomial $f(X)\in \mathbb{F}_{p^2}$ s.t. $f(j)=0$ iff $j$ is supersingular.

Published on 04 Nov 2022 - 3:32

score 46 · Answer 4 · 2026-04-11 14:06:33

46

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Can we define isogeny map between ordinary elliptic curve over field?

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score 349 · Answer 5 · 2022-11-05 02:05:00

349

Views

Elliptic Curves - Identifying a Torsion Point, with some Rank thrown in

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score 99 · Answer 6 · 2026-04-13 20:39:34

99

Views

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score 96 · Answer 7 · 2026-04-14 07:29:21

96

Views

Discriminant of an elliptic curve over finite fields

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score 67 · Answer 8 · 2026-04-13 19:30:18

67

Views

Representation of $m$-th division field extension of an elliptic curve as composite field extensions

Published on 13 Apr 2026 - 19:30

score 67 · Answer 9 · 2022-11-11 23:56:56

67

Views

Decomposition of the Galois group of the $m$-th division field of an elliptic curve with CM into a direct product of Galois groups

Published on 11 Nov 2022 - 23:56

score 291 · Answer 10 · 2026-04-14 05:52:03

291

Views

Show that the two elliptic integrals are equal

Published on 14 Apr 2026 - 5:52

score 97 · Answer 11 · 2022-11-12 13:38:15

97

Views

short weierstrass form for cubic

Published on 12 Nov 2022 - 13:38

score 108 · Answer 12 · 2026-03-27 02:39:49

108

Views

Question about Weil Pairing & the MOV attack

Published on 27 Mar 2026 - 2:39

score 221 · Answer 13 · 2026-04-13 18:56:30

221

Views

Do the solutions to an elliptic curve over a finite field correspond to solutions over the reals?

Published on 13 Apr 2026 - 18:56

score 32 · Answer 14 · 2026-04-11 14:09:19

32

Views

When $G\subset E_{\overline{K}}$ is invariant by $\operatorname{Gal}(\overline{K}/K)$, can we construct $K$-isogeny s.t. the kernel is $G$?

Published on 11 Apr 2026 - 14:09

score 64 · Answer 15 · 2026-04-10 05:43:24

64

Views

Solutions to an elliptic curve equation involving a prime

Published on 10 Apr 2026 - 5:43

List Question

Prove that no triple $(x,y,z)\in\Bbb Z_{>0}^3$, exist such that $3x^2y+3xy^2+6xyz=z^3$

Rational points on the the reduction mod $p$ of $X_0(N)$

What is polynomial $f(X)\in \mathbb{F}_{p^2}$ s.t. $f(j)=0$ iff $j$ is supersingular.

Can we define isogeny map between ordinary elliptic curve over field?

Elliptic Curves - Identifying a Torsion Point, with some Rank thrown in

Neron polygons and cusps on the modular curve

Discriminant of an elliptic curve over finite fields

Representation of $m$-th division field extension of an elliptic curve as composite field extensions

Decomposition of the Galois group of the $m$-th division field of an elliptic curve with CM into a direct product of Galois groups

Show that the two elliptic integrals are equal

short weierstrass form for cubic

Question about Weil Pairing & the MOV attack

Do the solutions to an elliptic curve over a finite field correspond to solutions over the reals?

When $G\subset E_{\overline{K}}$ is invariant by $\operatorname{Gal}(\overline{K}/K)$, can we construct $K$-isogeny s.t. the kernel is $G$?

Solutions to an elliptic curve equation involving a prime

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