Cremona's table of elliptic curves
Conductor 4042
4042 = 2 · 43 · 47
Isogeny classes of curves of conductor 4042
[newforms of level 4042]
Class
r
Atkin-Lehner
Eigenvalues
4042a
(2 curves)
0
2
+
43
-
47
+
2
+
-2
0
-1
0
2
3
-1
Curve
Equation
t
4042a1
[1,0,1,-201,1196]
3
4042a2
[1,0,1,1304,-3018]
1
4042b
(1 curve)
0
2
-
43
+
47
+
2
-
-2
4
5
4
-6
-5
1
Curve
Equation
t
4042b1
[1,0,0,-1,3]
1
4042c
(1 curve)
1
2
-
43
-
47
+
2
-
0
-3
2
-4
4
1
5
Curve
Equation
t
Generators
4042c1
[1,-1,1,-79,279]
1
[3:6:1]
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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