It seems when you add points on an elliptic curve in sage, it immediately divides by the z coordinate if it is not zero. Since I plan on working in a finite field of a large prime, I would rather it not calculate this inverse, but I'm not sure how to stop it from automatically doing so. How do I get it to leave the z coordinate alone so as to avoid inverting elements of my field?
Revision history [back]
 | 1 | initial version |
elliptic curve arithmetic without inversion
| | 2 | retagged |
elliptic curve arithmetic without inversion
It seems when you add points on an elliptic curve in sage, it immediately divides by the z coordinate if it is not zero. Since I plan on working in a finite field of a large prime, I would rather it not calculate this inverse, but I'm not sure how to stop it from automatically doing so. How do I get it to leave the z coordinate alone so as to avoid inverting elements of my field?
