Cremona's table of elliptic curves
Conductor 663
663 = 3 · 13 · 17
Isogeny classes of curves of conductor 663
[newforms of level 663]
Class
r
Atkin-Lehner
Eigenvalues
663a
(2 curves)
0
3
+
13
+
17
-
1
3
+
-4
2
6
13
+
17
-
4
Curve
Equation
t
663a1
[1,1,0,-262,-1745]
2
663a2
[1,1,0,-327,-900]
2
663b
(6 curves)
1
3
+
13
-
17
-
-1
3
+
-2
0
4
13
-
17
-
-4
Curve
Equation
t
Generators
663b1
[1,1,1,-539,4592]
4
[-12:103:1]
663b2
[1,1,1,-544,4496]
8
[79:640:1]
663b3
[1,1,1,-1389,-14094]
4
[-27:81:1]
663b4
[1,1,1,221,17042]
4
[-20:81:1]
663b5
[1,1,1,-20174,-1111138]
2
[-658:427:8]
663b6
[1,1,1,3876,-89910]
2
[25:140:1]
663c
(2 curves)
1
3
-
13
+
17
-
-1
3
-
0
-2
-2
13
+
17
-
0
Curve
Equation
t
Generators
663c1
[1,0,0,-33,-72]
2
[-3:3:1]
663c2
[1,0,0,-98,279]
2
[-5:28:1]
Data from
Elliptic Curve Data
by J. E. Cremona.
Design inspired by
The Modular Forms Explorer
by William Stein.
Part of
Computational Number Theory
Back to
Tables and computations