Timeline for Elementary method for finding integer solutions for certain types of elliptic curve
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Sep 18, 2023 at 15:34 | comment | added | jackdean | Certainly! finding all fibonacci number which also square for example, it's equivalent to solve $5x^4+4=y^2$ and substitute into the integral solution of the curve $x(5x^2+4) = y^2$ | |
| Sep 18, 2023 at 14:57 | comment | added | José Hdz. Stgo. | @jackdean Would you be so kind as to provide some examples of the type of problems that you have in mind? | |
| Sep 17, 2023 at 22:31 | history | edited | Gerry Myerson | CC BY-SA 4.0 |
dozens of typos
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| Sep 17, 2023 at 18:18 | comment | added | jackdean | sorry my mistake, $Q$ is a quadratic polynomial, if $z=x^2$ is a solution to $Q(x^2) = dy^2$ then $dz(Q(z))$ is also a perfect square, so just need to solve the later | |
| Sep 17, 2023 at 18:17 | history | edited | jackdean | CC BY-SA 4.0 |
added 6 characters in body
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| Sep 17, 2023 at 17:14 | comment | added | Daniel Weber | What is $d$? A constant? Additionally, a quadratic form is homogeneous, so it can't be $\pm 1$ at $0$, and I'm not sure how you turn it to $d x Q(x) = y^2$ as well. | |
| Sep 17, 2023 at 13:41 | history | asked | jackdean | CC BY-SA 4.0 |