Cremona's table of elliptic curves
Conductor 22737
22737 = 3 · 11 · 13 · 53
Isogeny classes of curves of conductor 22737
[newforms of level 22737]
Class
r
Atkin-Lehner
Eigenvalues
22737a
(1 curve)
1
3
+
11
+
13
-
53
-
0
3
+
-2
-3
11
+
13
-
0
-4
Curve
Equation
t
Generators
22737a1
[0,-1,1,21,1010]
1
[24:121:1]
22737b
(2 curves)
1
3
+
11
+
13
-
53
-
1
3
+
4
0
11
+
13
-
2
-8
Curve
Equation
t
Generators
22737b1
[1,1,0,202,2895]
2
[2670:15213:125]
22737b2
[1,1,0,-2183,33900]
2
[100:860:1]
22737c
(4 curves)
2
3
+
11
-
13
-
53
-
-1
3
+
-2
0
11
-
13
-
-2
4
Curve
Equation
t
Generators
22737c1
[1,1,1,-474,-4170]
2
[36:146:1]&[51:302:1]
22737c2
[1,1,1,-479,-4084]
4
[-12:16:1]&[33:115:1]
22737c3
[1,1,1,236,-14380]
2
[34:168:1]&[5864:446163:1]
22737c4
[1,1,1,-1274,11816]
4
[-40:47:1]&[4:80:1]
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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