Cremona's table of elliptic curves
Conductor 4004
4004 = 2
2
· 7 · 11 · 13
Isogeny classes of curves of conductor 4004
[newforms of level 4004]
Class
r
Atkin-Lehner
Eigenvalues
4004a
(1 curve)
1
2
-
7
+
11
+
13
-
2
-
-1
-3
7
+
11
+
13
-
4
0
Curve
Equation
t
Generators
4004a1
[0,-1,0,-2717,-54791]
1
[72:343:1]
4004b
(4 curves)
0
2
-
7
-
11
+
13
-
2
-
-2
0
7
-
11
+
13
-
6
-4
Curve
Equation
t
4004b1
[0,1,0,-1253,16660]
6
4004b2
[0,1,0,-1188,18532]
6
4004b3
[0,1,0,-2373,-18536]
2
4004b4
[0,1,0,8612,-132780]
2
4004c
(2 curves)
0
2
-
7
-
11
-
13
+
2
-
2
4
7
-
11
-
13
+
2
4
Curve
Equation
t
4004c1
[0,-1,0,-21,38]
2
4004c2
[0,-1,0,44,168]
2
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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