<s>
In	O
number	O
theory	O
,	O
a	O
pseudoprime	B-Algorithm
is	O
called	O
an	O
elliptic	B-Algorithm
pseudoprime	I-Algorithm
for	O
(	O
E	O
,	O
P	O
)	O
,	O
where	O
E	O
is	O
an	O
elliptic	O
curve	O
defined	O
over	O
the	O
field	O
of	O
rational	O
numbers	O
with	O
complex	O
multiplication	O
by	O
an	O
order	O
in	O
,	O
having	O
equation	O
y2	O
=	O
x3+ax+b	O
with	O
a	O
,	O
b	O
integers	O
,	O
P	O
being	O
a	O
point	O
on	O
E	O
and	O
n	O
a	O
natural	O
number	O
such	O
that	O
the	O
Jacobi	O
symbol	O
( −d|n	O
)	O
=	O
−1	O
,	O
if	O
.	O
</s>
