TY  - JOUR
TI  - On the Mertens Conjecture for Elliptic Curves Over Finite Fields
SN  - 1755-1633
Y1  - 2014/02//
AV  - public
N2  - We introduce an analogue of the Mertens conjecture for elliptic curves over finite fields. Using a result of Waterhouse, we classify the isogeny classes of elliptic curves for which this conjecture holds in terms of the size of the finite field and the trace of the Frobenius endomorphism acting on the curve.
IS  - 01
ID  - discovery1569443
UR  - http://dx.doi.org/10.1017/S0004972712001116
EP  - 32
N1  - This version is the author accepted manuscript. For information on re-use, please refer to the publisher?s terms and conditions.
VL  - 89
SP  - 19
JF  - Bulletin of the Australian Mathematical Society
A1  - HUMPHRIES, PETER
ER  -