Cremona's table of elliptic curves
Conductor 57
57 = 3 · 19
Isogeny classes of curves of conductor 57
[newforms of level 57]
Class
r
Atkin-Lehner
Eigenvalues
57a
(1 curve)
1
3
+
19
+
-2
3
+
-3
-5
1
2
-1
19
+
Curve
Equation
t
Generators
57a1
[0,-1,1,-2,2]
1
[2:-2:1]
57b
(4 curves)
0
3
-
19
+
1
3
-
-2
0
0
6
-6
19
+
Curve
Equation
t
57b1
[1,0,1,-7,5]
4
57b2
[1,0,1,-2,-1]
2
57b3
[1,0,1,-102,385]
4
57b4
[1,0,1,8,29]
2
57c
(2 curves)
0
3
-
19
+
-2
3
-
1
3
-3
-6
3
19
+
Curve
Equation
t
57c1
[0,1,1,20,-32]
5
57c2
[0,1,1,-4390,-113432]
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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