Thesis etd-11182012-221452 |
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Thesis type
Tesi di laurea magistrale
URN
etd-11182012-221452
Thesis title
Arithmetic properties of elliptic curves over finite fields
Department
MATEMATICA
Course of study
MATEMATICA
Supervisors
.
relatore Prof. Dvornicich, Roberto
Keywords
- Elliptic curves
- endomorphism rings
- finite fields
- isogenies
Graduation session start date
03/12/2012
Availability
Withheld
Release date
03/12/2052
Abstract (Inglese)
Abstract (Italiano)
In this thesis, we give a brief survey on elliptic curves over finite fields, complex multiplication and isogeny volcanos. We then present a series of results that describe the possible orders and structures of the groups G_k=E(F_{q^k}), as k varies, assuming the curve E is defined over F_q. Several of these do not seem to appear in standard literature.
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