Question

Is it possible to do elliptic curve cryptography over $\mathbb{Q}$ instead of a finite field?

score 510 · Answer 1 · 2026-04-02 17:31:07

510

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Is it possible to do elliptic curve cryptography over $\mathbb{Q}$ instead of a finite field?

Published on 02 Apr 2026 - 17:31

score 1.6k · Answer 2 · 2026-04-03 18:12:31

1.6k

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Two circles intersect in two points

Published on 03 Apr 2026 - 18:12

score 647 · Answer 3 · 2026-04-05 20:12:32

647

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Elliptic curves on a K3 surface

Published on 05 Apr 2026 - 20:12

score 124 · Answer 4 · 2014-02-18 14:32:08

Why are we not allowed to rescale the variables of the equation of an elliptic curve independently one from the other?

score 250 · Answer 5 · 2026-04-02 12:51:07

250

Views

Show that the curve $2Y^2 = X^4-17$ has points in every $\mathbb{Q}_p$

Published on 02 Apr 2026 - 12:51

score 360 · Answer 6 · 2014-02-22 23:08:25

360

Views

Number of points over elliptic curve is p+1 given....

Published on 22 Feb 2014 - 23:08

score 1.5k · Answer 7 · 2014-02-23 23:01:51

1.5k

Views

Discriminants and Weierstrass form of elliptic curves

Published on 23 Feb 2014 - 23:01

score 686 · Answer 8 · 2014-02-24 09:48:09

686

Views

Show that the curve $2Y^2 = X^4 - 17$ has no points in $\mathbb{Q}$

Published on 24 Feb 2014 - 9:48

score 120 · Answer 9 · 2014-02-24 13:44:01

120

Views

Is torsion subgroup of elliptic curve birationally invariant?

Published on 24 Feb 2014 - 13:44

score 180 · Answer 10 · 2014-02-24 16:27:27

180

Views

Elliptic curve over $\mathbb{Q}$ cannot have $\mathbb{Z}_4\times\mathbb{Z}_4$ as a subgroup

Published on 24 Feb 2014 - 16:27

score 1.4k · Answer 11 · 2014-02-26 13:38:05

1.4k

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solving $x^3-2y^3=1$ using cubic number field

Published on 26 Feb 2014 - 13:38

score 68 · Answer 12 · 2014-02-27 04:20:27

68

Views

How to prove $-P = (x, -a_1x - a_3 - y)$ for an Elliptic Curve of the General Weirstrass equation for P not the identity?

Published on 27 Feb 2014 - 4:20

score 2k · Answer 13 · 2014-02-27 05:31:01

2k

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Finding J-invariant of Legendre form of Elliptic Curve

Published on 27 Feb 2014 - 5:31

score 617 · Answer 14 · 2014-02-28 10:23:34

617

Views

Odd torsion of elliptic curves are isomorphic

Published on 28 Feb 2014 - 10:23

score 270 · Answer 15 · 2026-03-25 16:08:08

270

Views

Computing the analytic $p$-adic $L$-function via modular symbols in MAGMA

Published on 25 Mar 2026 - 16:08

List Question

Is it possible to do elliptic curve cryptography over $\mathbb{Q}$ instead of a finite field?

Two circles intersect in two points

Elliptic curves on a K3 surface

Why are we not allowed to rescale the variables of the equation of an elliptic curve independently one from the other?

Show that the curve $2Y^2 = X^4-17$ has points in every $\mathbb{Q}_p$

Number of points over elliptic curve is p+1 given....

Discriminants and Weierstrass form of elliptic curves

Show that the curve $2Y^2 = X^4 - 17$ has no points in $\mathbb{Q}$

Is torsion subgroup of elliptic curve birationally invariant?

Elliptic curve over $\mathbb{Q}$ cannot have $\mathbb{Z}_4\times\mathbb{Z}_4$ as a subgroup

solving $x^3-2y^3=1$ using cubic number field

How to prove $-P = (x, -a_1x - a_3 - y)$ for an Elliptic Curve of the General Weirstrass equation for P not the identity?

Finding J-invariant of Legendre form of Elliptic Curve

Odd torsion of elliptic curves are isomorphic

Computing the analytic $p$-adic $L$-function via modular symbols in MAGMA

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