Cremona's table of elliptic curves

3066 = 2 · 3 · 7 · 73

Class	r	Atkin-Lehner	Eigenvalues
3066a (1 curve)	1	2+ 3+ 7+ 73+	2+ 3+  0 7+  4  3 -6 -1
Curve Equation t Generators 3066a1 [1,1,0,35944095,294741663669] 1 [22145960536947010:4224754496385786719:6181888872977]
3066b (2 curves)	1	2+ 3+ 7+ 73+	2+ 3+  0 7+ -6 -2  4  4
Curve Equation t Generators 3066b1 [1,1,0,-70,196] 2 [0:14:1] 3066b2 [1,1,0,-10,592] 2 [3:23:1]
3066c (2 curves)	1	2+ 3+ 7- 73-	2+ 3+  0 7- -2  4  2 -8
Curve Equation t Generators 3066c1 [1,1,0,-4035,-97587] 2 [-33:48:1] 3066c2 [1,1,0,-9795,235341] 2 [-45:789:1]
3066d (1 curve)	1	2+ 3+ 7- 73-	2+ 3+  0 7-  4  1  2 -5
Curve Equation t Generators 3066d1 [1,1,0,5,1] 1 [0:1:1]
3066e (1 curve)	1	2+ 3- 7+ 73-	2+ 3- -4 7+  0  1 -2  1
Curve Equation t Generators 3066e1 [1,0,1,-113,452] 1 [3:10:1]
3066f (2 curves)	1	2+ 3- 7- 73+	2+ 3- -2 7-  0  0 -4  0
Curve Equation t Generators 3066f1 [1,0,1,-57,-56] 2 [-4:12:1] 3066f2 [1,0,1,213,-380] 2 [14:66:1]
3066g (1 curve)	0	2- 3+ 7+ 73+	2- 3+  4 7+ -4  3  2 -1
Curve Equation t 3066g1 [1,1,1,-21791,5942981] 1
3066h (1 curve)	0	2- 3- 7+ 73-	2- 3-  0 7+  0  1  6  1
Curve Equation t 3066h1 [1,0,0,-4078,99896] 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