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Statements
℘
(
ω
j
+
t
)
=
e
j
+
(
3
e
j
2
-
5
c
2
)
t
2
+
(
10
c
2
e
j
+
21
c
3
)
t
4
+
(
7
c
2
e
j
2
+
21
c
3
e
j
+
5
c
2
2
)
t
6
+
O
(
t
8
)
,
Weierstrass-P-on-lattice
subscript
𝜔
𝑗
𝑡
𝕃
Weierstrass-e-on-lattice
𝑗
𝕃
3
superscript
Weierstrass-e-on-lattice
𝑗
𝕃
2
5
subscript
𝑐
2
superscript
𝑡
2
10
subscript
𝑐
2
Weierstrass-e-on-lattice
𝑗
𝕃
21
subscript
𝑐
3
superscript
𝑡
4
7
subscript
𝑐
2
superscript
Weierstrass-e-on-lattice
𝑗
𝕃
2
21
subscript
𝑐
3
Weierstrass-e-on-lattice
𝑗
𝕃
5
superscript
subscript
𝑐
2
2
superscript
𝑡
6
Big-O
superscript
𝑡
8
{\displaystyle{\displaystyle\wp\left(\omega_{j}+t\right)=e_{j}+(3e_{j}^{2}-5c_%
{2})t^{2}+(10c_{2}e_{j}+21c_{3})t^{4}+(7c_{2}e_{j}^{2}+21c_{3}e_{j}+5c_{2}^{2}%
)t^{6}+O\left(t^{8}\right),}}
O
(
x
)
Big-O
𝑥
{\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
℘
(
z
)
Weierstrass-P-on-lattice
𝑧
𝕃
{\displaystyle{\displaystyle\wp\left(\NVar{z}\right)}}
e
j
Weierstrass-e-on-lattice
𝑗
𝕃
{\displaystyle{\displaystyle e_{\NVar{j}}}}
𝕃
𝕃
{\displaystyle{\displaystyle\mathbb{L}}}
ω
1
subscript
𝜔
1
{\displaystyle{\displaystyle\omega_{1}}}
c
n
subscript
𝑐
𝑛
{\displaystyle{\displaystyle c_{n}}}
t
𝑡
{\displaystyle{\displaystyle t}}
Identifiers
