Timeline for Integral points on a special curve
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 9, 2012 at 10:53 | vote | accept | user21956 | ||
| Mar 9, 2012 at 10:53 | vote | accept | user21956 | ||
| Mar 9, 2012 at 10:53 | |||||
| Mar 8, 2012 at 21:38 | comment | added | Noam D. Elkies | I've tried similar things in the past, recursively trying all 2- and 3-point sums from the known points. Using the canonical height seems more efficient in this range: it took only a minute or so to try all candidates of height $200$ or less (yes, double what I posted -- I'll update this in the next edit). As expected no new integral points appeared. | |
| Mar 8, 2012 at 18:32 | comment | added | joro | Elkies, probably not your method, i didn't care about the height. Just tried an opportunistic search. If G is the set of the generators + the torsion point tried subset sums of {P,-P,2P, -2P} P in G. The known points were found fast (the subsets are still running). | |
| Mar 8, 2012 at 15:23 | comment | added | Noam D. Elkies | @joro: using the same kind of method or something else? | |
| Mar 8, 2012 at 13:52 | comment | added | joro | FYI found all of your integral points and none new so far. | |
| Mar 8, 2012 at 4:27 | history | edited | Noam D. Elkies | CC BY-SA 3.0 |
Forgot that the 2-torsion point (0,0) is integral...
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| Mar 8, 2012 at 1:33 | history | answered | Noam D. Elkies | CC BY-SA 3.0 |