Timeline for Parity dependent population inversion in Mordell elliptic curves
Current License: CC BY-SA 3.0
13 events
| when toggle format | what | by | license | comment | |
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| Sep 13, 2012 at 5:12 | history | edited | Kevin Acres | CC BY-SA 3.0 |
Improved formatting, updated current curve count.
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| Sep 3, 2012 at 4:16 | vote | accept | Kevin Acres | ||
| Sep 3, 2012 at 3:15 | answer | added | Noam D. Elkies | timeline score: 8 | |
| Sep 2, 2012 at 21:29 | comment | added | Noam D. Elkies | @Jamie - I'm reminded of the story of Gerda Busoni (the wife of composer Ferruccio Busoni, known largely for his Bach transcriptions) being introduced as "Mrs. Bach-Busoni". :-) | |
| Sep 2, 2012 at 20:58 | comment | added | Kevin Acres | @Jamie - Thanks for that. I've altered the title accordingly. | |
| Sep 2, 2012 at 20:55 | history | edited | Kevin Acres | CC BY-SA 3.0 |
Changed title
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| Aug 28, 2012 at 0:58 | comment | added | James Weigandt | These particular elliptic curves are typically just called "Mordell curves" because L.J. Mordell studied them quite extensively. I see no reason Weil's name should be attached to these curves, unless your goal is to make Mordell spin in his grave. Mordell was never fond of having his name attached to Weil's in the Mordell-Weil theorem. I've heard stories of him insisting, "I never wrote a paper with Weil!" | |
| Aug 3, 2012 at 1:41 | answer | added | Kevin Acres | timeline score: 1 | |
| Aug 2, 2012 at 21:04 | comment | added | Matt Young | See if ams.org/mathscinet-getitem?mr=1956231 is helpful. | |
| Aug 2, 2012 at 20:56 | history | edited | Kevin Acres | CC BY-SA 3.0 |
Added constraints for k.
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| Aug 2, 2012 at 8:50 | comment | added | Kevin Acres | Hi Noam, Thanks for responding. I'm finding most curves by myself and borrowing others, including some of yours. I'm also being very careful to avoid artifacts induced by search methodology. All the curves that I am using are listed in: physics.open.ac.uk/~dbroadhu/cert/mwrank*.txt The current attributions are in: physics.open.ac.uk/~dbroadhu/cert/mwlist.txt | |
| Aug 2, 2012 at 6:47 | comment | added | Noam D. Elkies | Where are you getting those curves from? I'm guessing that this somehow an artifact of the search technique that was used to generate the curves; I doubt that it's practical to find all the curves $y^2 = x^3 + k$ of rank at least $8$ with $|k| \leq N$ and $N$ large enough to find $10^4$ such curves. | |
| Aug 2, 2012 at 5:21 | history | asked | Kevin Acres | CC BY-SA 3.0 |