Cremona's table of elliptic curves
Conductor 1001
1001 = 7 · 11 · 13
Isogeny classes of curves of conductor 1001
[newforms of level 1001]
Class
r
Atkin-Lehner
Eigenvalues
1001a
(1 curve)
1
7
+
11
+
13
+
0
2
-1
7
+
11
+
13
+
2
-1
Curve
Equation
t
Generators
1001a1
[0,-1,1,-15881,778423]
1
[61:181:1]
1001b
(4 curves)
0
7
+
11
-
13
+
-1
0
-2
7
+
11
-
13
+
-2
-4
Curve
Equation
t
1001b1
[1,-1,1,-16,-198]
4
1001b2
[1,-1,1,-621,-5764]
4
1001b3
[1,-1,1,-9916,-377564]
2
1001b4
[1,-1,1,-1006,2552]
2
1001c
(1 curve)
2
7
+
11
-
13
+
-2
-3
-3
7
+
11
-
13
+
-8
-4
Curve
Equation
t
Generators
1001c1
[0,0,1,-199,1092]
1
[-13:38:1]&[-6:45:1]
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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