Cremona's table of elliptic curves
Conductor 17085
17085 = 3 · 5 · 17 · 67
Isogeny classes of curves of conductor 17085
[newforms of level 17085]
Class
r
Atkin-Lehner
Eigenvalues
17085a
(1 curve)
1
3
+
5
+
17
-
67
-
1
3
+
5
+
-2
-1
-4
17
-
-6
Curve
Equation
t
Generators
17085a1
[1,1,0,-23973,-1481742]
1
[206:1438:1]
17085b
(6 curves)
0
3
+
5
-
17
-
67
-
-1
3
+
5
-
0
4
6
17
-
4
Curve
Equation
t
17085b1
[1,1,1,-15215,-3216868]
4
17085b2
[1,1,1,-432820,-109455580]
8
17085b3
[1,1,1,-6919425,-7008608658]
4
17085b4
[1,1,1,-627895,-1227970]
4
17085b5
[1,1,1,-110710800,-448412568258]
2
17085b6
[1,1,1,-6913730,-7020713950]
2
17085c
(1 curve)
2
3
+
5
-
17
-
67
-
-1
3
+
5
-
0
-5
0
17
-
-8
Curve
Equation
t
Generators
17085c1
[1,1,1,0,42]
1
[-3:6:1]&[0:6:1]
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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