Lemma 13.6.
Assuming that:
E
∕
ℚ
an
elliptic curve
Then
there exists
c
>
0
such that for all
P
,
Q
∈
E
(
ℚ
)
with
P
,
Q
,
P
+
Q
,
P
−
Q
≠
0
, we have
H
(
P
+
Q
)
H
(
P
−
Q
)
≤
c
H
(
P
)
2
H
(
Q
)
2
.