Not signed in (Sign In)

Start a new discussion

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Discussion Tag Cloud

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeApr 8th 2014
    • (edited Apr 8th 2014)

    added a chunk of some standard basics to elliptic curve – Definition over a general ring.

    Also touched/briefly created various related entries, such as Weierstrass equation, Weierstrass elliptic function, cubic curve, j-invariant etc.

    • CommentRowNumber2.
    • CommentAuthorTodd_Trimble
    • CommentTimeJan 3rd 2015

    I did a little touch-up at Weierstrass elliptic curve. Particularly, the prior version said that \wp parametrized a complex torus, whereas I think it is more accurate to say we have a map

    (,):/Lcubic(\wp, \wp'): \mathbb{C}/L \to cubic

    so that it is the torus that is parametrizing the cubic (rather than the thing that is being parametrized).

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeJan 3rd 2015

    True, thanks.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeNov 16th 2020

    added pointer to:

    diff, v36, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeNov 16th 2020
    • (edited Nov 16th 2020)

    added pointer to:

    diff, v37, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeJan 22nd 2021

    Not so important, but I just noticed that the rendering of the elliptic group law on the nLab page here comes out strange: the first square root symbol over-extends downwards so much that it looks weird.

    In contrast, here on the nForum it displays as expected:

    f(x,y)=x12δy 2+εy 4+y12δx 2+εx 41εx 2y 2 f(x,y) \;=\; \frac{ x \sqrt{1- 2 \delta y^2 + \epsilon y^4} + y \sqrt{1- 2 \delta x^2 + \epsilon x^4} } {1- \epsilon x^2 y^2}
Add your comments
  • Please log in or leave your comment as a "guest post". If commenting as a "guest", please include your name in the message as a courtesy. Note: only certain categories allow guest posts.
  • To produce a hyperlink to an nLab entry, simply put double square brackets around its name, e.g. [[category]]. To use (La)TeX mathematics in your post, make sure Markdown+Itex is selected below and put your mathematics between dollar signs as usual. Only a subset of the usual TeX math commands are accepted: see here for a list.

  • (Help)