Cremona's table of elliptic curves
Conductor 689
689 = 13 · 53
Isogeny classes of curves of conductor 689
[newforms of level 689]
Class
r
Atkin-Lehner
Eigenvalues
689a
(2 curves)
1
13
+
53
+
-1
-2
-2
2
2
13
+
-2
4
Curve
Equation
t
Generators
689a1
[1,0,0,-14,19]
2
[1:2:1]
689a2
[1,0,0,-9,34]
2
[-1:7:1]
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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