Timeline for Rank and generators of elliptic curve
Current License: CC BY-SA 3.0
16 events
when toggle format | what | by | license | comment | |
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Aug 17 at 23:27 | answer | added | Noam D. Elkies | timeline score: 4 | |
Dec 4, 2018 at 19:47 | answer | added | Christopher D. Long | timeline score: 4 | |
Jul 5, 2017 at 3:19 | answer | added | Noam D. Elkies | timeline score: 15 | |
Apr 9, 2017 at 8:06 | review | Close votes | |||
Apr 9, 2017 at 12:10 | |||||
Apr 5, 2017 at 23:56 | history | edited | GH from MO |
edited tags
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Apr 5, 2017 at 22:45 | history | reopened |
Noam D. Elkies Stefan Kohl♦ Tony Huynh Daniel Loughran Stopple |
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Apr 5, 2017 at 20:59 | review | Reopen votes | |||
Apr 5, 2017 at 22:03 | |||||
Apr 5, 2017 at 20:44 | history | edited | Noam D. Elkies | CC BY-SA 3.0 |
Add a Weierstrass equation for the non-cognoscenti.
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Apr 5, 2017 at 20:43 | comment | added | Noam D. Elkies | I see that this question has been put on hold on the grounds "unclear what you're asking". It is by now clear that the intended elliptic curve was $y^2 = x^3 + x^2 -15662264585 x + 746984342506759$ (using the standard notation $[a_1,a_2,a_3,a_4,a_6]$ [sic] for the curve with extended Weierstrass form $y^2+a_1xy+a_3y=x^3+a_2x^2+a_4x+a_6$). So I'm editing the question and voting to reopen. This still begs the question of why this curve is of interest (yes, rank $\geq 8$ is unusual, but we've known for some time how to generate infinitely many such curves) and how the OP found it. | |
Apr 5, 2017 at 20:17 | history | closed |
Lee Mosher Will Chen Tony Huynh Dima Pasechnik Stanley Yao Xiao |
Needs details or clarity | |
Apr 5, 2017 at 20:07 | review | Close votes | |||
Apr 5, 2017 at 20:17 | |||||
Apr 5, 2017 at 20:06 | history | edited | Amine | CC BY-SA 3.0 |
added 2 characters in body
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Apr 5, 2017 at 19:58 | comment | added | Noam D. Elkies | Why this curve? I'm guessing you meant [0, 1, 0, -15662264585, 746984342506759] (missing the third coefficient 0), because this curve has 28 pairs of integral points with x < 10^8, which generate a group of rank 8, and that kind of thing almost never happens at random . . . | |
Apr 5, 2017 at 19:58 | history | edited | Amine | CC BY-SA 3.0 |
edited title
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Apr 5, 2017 at 19:49 | review | First posts | |||
Apr 5, 2017 at 19:50 | |||||
Apr 5, 2017 at 19:47 | history | asked | Amine | CC BY-SA 3.0 |