Cremona's table of elliptic curves
Conductor 50
50 = 2 · 5
2
Isogeny classes of curves of conductor 50
[newforms of level 50]
Class
r
Atkin-Lehner
Eigenvalues
50a
(4 curves)
0
2
+
5
-
2
+
1
5
-
2
-3
-4
-3
5
Curve
Equation
t
50a1
[1,0,1,-1,-2]
3
50a2
[1,0,1,-126,-552]
1
50a3
[1,0,1,-76,298]
3
50a4
[1,0,1,549,-2202]
1
50b
(4 curves)
0
2
-
5
+
2
-
-1
5
+
-2
-3
4
3
5
Curve
Equation
t
50b1
[1,1,1,-3,1]
5
50b2
[1,1,1,22,-9]
5
50b3
[1,1,1,-13,-219]
1
50b4
[1,1,1,-3138,-68969]
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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