Cremona's table of elliptic curves
Conductor 205
205 = 5 · 41
Isogeny classes of curves of conductor 205
[newforms of level 205]
Class
r
Atkin-Lehner
Eigenvalues
205b
(2 curves)
0
5
+
41
-
-1
2
5
+
2
6
2
2
-6
Curve
Equation
t
205b1
[1,1,1,-21,-46]
2
205b2
[1,1,1,-16,-62]
2
205c
(2 curves)
0
5
-
41
+
1
2
5
-
2
0
-4
4
0
Curve
Equation
t
205c1
[1,1,0,-2,-1]
2
205c2
[1,1,0,-27,44]
2
205a
(4 curves)
1
5
-
41
-
-1
0
5
-
-4
0
-2
-6
0
Curve
Equation
t
Generators
205a1
[1,-1,1,-22,44]
4
[-1:8:1]
205a2
[1,-1,1,-27,26]
4
[-4:9:1]
205a3
[1,-1,1,-232,-1286]
2
[-8:6:1]
205a4
[1,-1,1,98,126]
4
[1:14:1]
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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