ASKSAGE: Sage Q&A Forum - RSS feedhttps://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Sat, 19 Jun 2021 14:49:48 +0200Compute elements of n-torsion group of elliptic curve over finite fieldhttps://ask.sagemath.org/question/57626/compute-elements-of-n-torsion-group-of-elliptic-curve-over-finite-field/Suppose $F_q$ is a prime field and $E/F_q$ is an elliptic curve over that field with order $k= n\cdot ...$ and assume that $E$ has embedding degree $l$. Then the $n$-torsion group of $E$ is in $F_{q^l}$. Now assume that $n$ and $l$ are reasonably small, such that the $n$-torsion group contains only a few elements and can be listed.
How can I compute that group and list the elements? Planet MacroSat, 19 Jun 2021 14:49:48 +0200https://ask.sagemath.org/question/57626/