Timeline for Integer points of an elliptic curve
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
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| Oct 29, 2021 at 13:05 | comment | added | Chris Wuthrich | @BogdanGrechuk It is easy to change the Weierstrass equation into an equation with integer coefficients, just change with $Y=d^3y$ and $X=d^2x$. | |
| Oct 28, 2021 at 13:38 | comment | added | Bogdan Grechuk | Hm, I had a look at that paper and see that when we transform the equation from general cubic to Weierstrass form then the coefficients become rational, not integer. If I then try to apply Magma or SageMath code to find integer points it returns error and states that coefficients should be integers. So, how to find integer points in general non-Weierstrass model remains unclear. | |
| Sep 27, 2010 at 1:01 | comment | added | Cam McLeman | The non-Weierstrass form is taken care of in Stroeker and de Weger's "Solving elliptic diophantine equations: The general cubic case." I recently had cause to work through it carefully, and the trick to deal with the non integrality-preservingness of the transform is pretty slick. | |
| Feb 21, 2010 at 20:38 | history | answered | Franz Lemmermeyer | CC BY-SA 2.5 |