Timeline for Can estimate upper bound of $|p_{i}|$ or $|q_{i}|?$
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 28, 2015 at 3:17 | history | edited | math110 | CC BY-SA 3.0 |
added 1 character in body
|
| Jun 28, 2015 at 3:03 | comment | added | math110 | @WillJagy,when I deal this problem get it:mathoverflow.net/questions/208662/… | |
| Jun 27, 2015 at 18:13 | review | Close votes | |||
| Jun 27, 2015 at 18:36 | |||||
| Jun 27, 2015 at 17:58 | comment | added | Will Jagy | math110, exactly where did you get this problem? | |
| Jun 27, 2015 at 17:51 | comment | added | Jeremy Rouse | Correction - the elliptic curve is defined over a cubic number field. | |
| Jun 27, 2015 at 17:32 | comment | added | Jeremy Rouse | This is a very tough sort of problem. You might take a look at Bjorn Poonen's article here that talks about the challenges of finding rational points on curves. The Jacobian of your hyperelliptic curve has rank 3, and so the method of Chabauty is out. There is an etale double cover of your curve that maps to an elliptic curve over a quartic number field, and one might be able to get elliptic curve Chabauty to work in this context. | |
| Jun 27, 2015 at 16:35 | history | edited | GH from MO |
edited tags
|
|
| Jun 27, 2015 at 15:19 | history | edited | math110 | CC BY-SA 3.0 |
deleted 15 characters in body
|
| Jun 27, 2015 at 15:08 | history | asked | math110 | CC BY-SA 3.0 |