Cremona's table of elliptic curves
Conductor 728
728 = 2
3
· 7 · 13
Isogeny classes of curves of conductor 728
[newforms of level 728]
Class
r
Atkin-Lehner
Eigenvalues
728a
(1 curve)
0
2
+
7
-
13
+
2
+
-1
0
7
-
3
13
+
4
2
Curve
Equation
t
728a1
[0,-1,0,-8,-20]
1
728b
(1 curve)
0
2
+
7
-
13
+
2
+
2
3
7
-
0
13
+
-2
5
Curve
Equation
t
728b1
[0,-1,0,1071,8501]
1
728c
(1 curve)
1
2
-
7
+
13
-
2
-
0
-1
7
+
2
13
-
0
-7
Curve
Equation
t
Generators
728c1
[0,0,0,-68,-236]
1
[12:26:1]
728d
(1 curve)
1
2
-
7
-
13
+
2
-
-2
-1
7
-
4
13
+
-6
1
Curve
Equation
t
Generators
728d1
[0,1,0,-1,51]
1
[5:-14:1]
Data from
Elliptic Curve Data
by J. E. Cremona.
Design inspired by
The Modular Forms Explorer
by William Stein.
Part of
Computational Number Theory
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