Cremona's table of elliptic curves

1947 = 3 · 11 · 59

Class	r	Atkin-Lehner	Eigenvalues
1947a (2 curves)	0	3+ 11+ 59-	1 3+  2  2 11+ -2  0  6
Curve Equation t 1947a1 [1,1,0,-14,15] 2 1947a2 [1,1,0,-29,-42] 2
1947b (1 curve)	0	3+ 11+ 59-	-2 3+  2 -4 11+  7 -3  6
Curve Equation t 1947b1 [0,-1,1,1088,-2202] 1
1947c (4 curves)	0	3+ 11- 59+	-1 3+ -2  0 11-  2 -2 -4
Curve Equation t 1947c1 [1,1,1,-44,-100] 4 1947c2 [1,1,1,-649,-6634] 4 1947c3 [1,1,1,-10384,-411610] 2 1947c4 [1,1,1,-594,-7734] 2
1947d (1 curve)	0	3+ 11- 59+	2 3+ -2  0 11- -1  7  2
Curve Equation t 1947d1 [0,-1,1,-434,3629] 1
1947e (4 curves)	1	3- 11- 59+	1 3- -2  0 11-  2  6 -4
Curve Equation t Generators 1947e1 [1,0,1,-17,-25] 2 [9:19:1] 1947e2 [1,0,1,-62,155] 4 [78:137:8] 1947e3 [1,0,1,-947,11129] 2 [-7:135:1] 1947e4 [1,0,1,103,881] 2 [1050:7747:216]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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