Cremona's table of elliptic curves
Conductor 117
117 = 3
2
· 13
Isogeny classes of curves of conductor 117
[newforms of level 117]
Class
r
Atkin-Lehner
Eigenvalues
117a
(4 curves)
1
3
-
13
-
-1
3
-
-2
-4
-4
13
-
-2
0
Curve
Equation
t
Generators
117a1
[1,-1,1,4,6]
4
[0:2:1]
117a2
[1,-1,1,-41,96]
4
[-4:15:1]
117a3
[1,-1,1,-176,-768]
2
[-6:9:1]
117a4
[1,-1,1,-626,6180]
2
[8:36:1]
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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