On a theorem of Mestre and Schoof

Cremona, John E., and Sutherland, Andrew V.. "On a theorem of Mestre and Schoof." Journal de Théorie des Nombres de Bordeaux 22.2 (2010): 353-358. <http://eudml.org/doc/116407>.

@article{Cremona2010,
abstract = {A well known theorem of Mestre and Schoof implies that the order of an elliptic curve $E$ over a prime field $\mathbb\{F\}_q$ can be uniquely determined by computing the orders of a few points on $E$ and its quadratic twist, provided that $q&gt;229$. We extend this result to all finite fields with $q&gt;49$, and all prime fields with $q&gt;29$.},
affiliation = {Mathematics Institute University of Warwick Coventry CV4 7AL UK; Massachusetts Institute of Technology Department of Mathematics 77 Massachusetts Avenue Cambridge, MA 02139-4307 USA},
author = {Cremona, John E., Sutherland, Andrew V.},
journal = {Journal de Théorie des Nombres de Bordeaux},
keywords = {finite field; elliptic curve},
language = {eng},
number = {2},
pages = {353-358},
publisher = {Université Bordeaux 1},
title = {On a theorem of Mestre and Schoof},
url = {http://eudml.org/doc/116407},
volume = {22},
year = {2010},
}

TY - JOUR
AU - Cremona, John E.
AU - Sutherland, Andrew V.
TI - On a theorem of Mestre and Schoof
JO - Journal de Théorie des Nombres de Bordeaux
PY - 2010
PB - Université Bordeaux 1
VL - 22
IS - 2
SP - 353
EP - 358
AB - A well known theorem of Mestre and Schoof implies that the order of an elliptic curve $E$ over a prime field $\mathbb{F}_q$ can be uniquely determined by computing the orders of a few points on $E$ and its quadratic twist, provided that $q&gt;229$. We extend this result to all finite fields with $q&gt;49$, and all prime fields with $q&gt;29$.
LA - eng
KW - finite field; elliptic curve
UR - http://eudml.org/doc/116407
ER -