Cremona's table of elliptic curves
Conductor 75
75 = 3 · 5
2
Isogeny classes of curves of conductor 75
[newforms of level 75]
Class
r
Atkin-Lehner
Eigenvalues
75a
(2 curves)
0
3
+
5
-
2
3
+
5
-
-3
2
1
2
-5
Curve
Equation
t
75a1
[0,-1,1,-8,-7]
1
75a2
[0,-1,1,42,443]
1
75b
(8 curves)
0
3
-
5
+
1
3
-
5
+
0
-4
2
-2
4
Curve
Equation
t
75b1
[1,0,1,-1,23]
2
75b2
[1,0,1,-126,523]
4
75b3
[1,0,1,-251,-727]
4
75b4
[1,0,1,-2001,34273]
2
75b5
[1,0,1,-3376,-75727]
4
75b6
[1,0,1,874,-5227]
2
75b7
[1,0,1,-54001,-4834477]
2
75b8
[1,0,1,-2751,-104477]
4
75c
(2 curves)
0
3
-
5
+
-2
3
-
5
+
3
2
-1
-2
-5
Curve
Equation
t
75c1
[0,1,1,2,4]
5
75c2
[0,1,1,-208,-1256]
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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