Cremona's table of elliptic curves
Conductor 12627
12627 = 3
2
· 23 · 61
Isogeny classes of curves of conductor 12627
[newforms of level 12627]
Class
r
Atkin-Lehner
Eigenvalues
12627a
(1 curve)
0
3
-
23
+
61
+
-2
3
-
0
1
5
-5
2
-4
Curve
Equation
t
12627a1
[0,0,1,-2357265,1440727578]
1
12627b
(1 curve)
0
3
-
23
-
61
-
0
3
-
2
1
3
-1
-2
2
Curve
Equation
t
12627b1
[0,0,1,-354,-2601]
1
12627c
(1 curve)
2
3
-
23
-
61
-
-2
3
-
0
-3
1
-1
-6
-6
Curve
Equation
t
Generators
12627c1
[0,0,1,15,144]
1
[-4:4:1]&[2:13:1]
Data from
Elliptic Curve Data
by J. E. Cremona.
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The Modular Forms Explorer
by William Stein.
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