On the 2-adic valuation of the cardinality of elliptic curves over finite extensions of \(\mathbb {F}_{\varvec{q}} \)
2018
In this paper we study the difference between the 2-adic valuations of the cardinalities \( \# E( \mathbb {F}_{q^k} ) \) and \( \# E( \mathbb {F}_q ) \) of an elliptic curve E over \( \mathbb {F}_q \). We also deduce information about the structure of the 2-Sylow subgroup \( E[ 2^\infty ]( \mathbb {F}_{q^k} ) \) from the exponents of \( E[ 2^\infty ]( \mathbb {F}_q ) \).
Keywords:
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
16
References
0
Citations
NaN
KQI