Question

How can I prove that $6y^2 = x(x + 1)(2x + 1)$ is a Weierstrass equation of an elliptic curve over rational numbers

score 39 · Answer 1 · 2020-02-24 18:36:38

How can I prove that $6y^2 = x(x + 1)(2x + 1)$ is a Weierstrass equation of an elliptic curve over rational numbers

score 29 · Answer 2 · 2020-02-26 10:52:38

29

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Working on Twist Elliptic Curves?

Published on 26 Feb 2020 - 10:52

score 52 · Answer 3 · 2020-02-26 13:35:11

52

Views

Confusion in proof of why $\#E(\mathbb{F}_q) = \deg(F_q -1)$

Published on 26 Feb 2020 - 13:35

score 114 · Answer 4 · 2026-03-26 02:57:41

114

Views

Showing that $\zeta(s) = 0$ implies $\Re(s) = \frac12$, where $\zeta$ is the zeta function of an elliptic curve

Published on 26 Mar 2026 - 2:57

score 66 · Answer 5 · 2020-02-26 23:59:58

66

Views

$E(\mathbb F_q) \simeq (\mathbb Z/n\mathbb Z) \times (\mathbb Z/n\mathbb Z)$. What is $q$?

Published on 26 Feb 2020 - 23:59

score 345 · Answer 6 · 2020-03-01 12:09:31

345

Views

elliptic curve transformations and invariants

Published on 01 Mar 2020 - 12:09

score 189 · Answer 7 · 2020-03-02 13:05:02

189

Views

For an elliptic curve $E(\mathbb{Q})$ if $nP$ has integer coordinates does $P$ as well?

Published on 02 Mar 2020 - 13:05

score 81 · Answer 8 · 2020-03-02 15:49:06

81

Views

Problem in Equating Coefficient of Elliptic Curve

Published on 02 Mar 2020 - 15:49

score 117 · Answer 9 · 2026-03-26 01:03:30

117

Views

Some questions regarding the computation of the Mordell-Weil group

Published on 26 Mar 2026 - 1:03

score 97 · Answer 10 · 2020-03-04 00:47:21

97

Views

The definition height of a rational point on an elliptic curve which is not in Weierstrass normal form

Published on 04 Mar 2020 - 0:47

score 156 · Answer 11 · 2020-03-05 08:56:53

156

Views

How to find a transformation from the integer points of a curve in 3 variables to the rational points in an elliptic curve?

Published on 05 Mar 2020 - 8:56

score 94 · Answer 12 · 2026-03-28 06:40:28

94

Views

Are there period points on an elliptic curve?

Published on 28 Mar 2026 - 6:40

score 47 · Answer 13 · 2020-03-08 14:10:18

47

Views

Cubic extensions and normalized valuations

Published on 08 Mar 2020 - 14:10

score 146 · Answer 14 · 2026-03-25 07:45:56

146

Views

Which values determine the whole Galois representation of an elliptic curve over the p-adics with potentially good reduction?

Published on 25 Mar 2026 - 7:45

score 318 · Answer 15 · 2020-03-10 17:16:10

318

Views

$[2]Q=P$ with the rational coordinate of $Q$ in an elliptic curve

Published on 10 Mar 2020 - 17:16

List Question

How can I prove that $6y^2 = x(x + 1)(2x + 1)$ is a Weierstrass equation of an elliptic curve over rational numbers

Working on Twist Elliptic Curves?

Confusion in proof of why $\#E(\mathbb{F}_q) = \deg(F_q -1)$

Showing that $\zeta(s) = 0$ implies $\Re(s) = \frac12$, where $\zeta$ is the zeta function of an elliptic curve

$E(\mathbb F_q) \simeq (\mathbb Z/n\mathbb Z) \times (\mathbb Z/n\mathbb Z)$. What is $q$?

elliptic curve transformations and invariants

For an elliptic curve $E(\mathbb{Q})$ if $nP$ has integer coordinates does $P$ as well?

Problem in Equating Coefficient of Elliptic Curve

Some questions regarding the computation of the Mordell-Weil group

The definition height of a rational point on an elliptic curve which is not in Weierstrass normal form

How to find a transformation from the integer points of a curve in 3 variables to the rational points in an elliptic curve?

Are there period points on an elliptic curve?

Cubic extensions and normalized valuations

Which values determine the whole Galois representation of an elliptic curve over the p-adics with potentially good reduction?

$[2]Q=P$ with the rational coordinate of $Q$ in an elliptic curve

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