Cremona's table of elliptic curves

12784 = 2⁴ · 17 · 47

Class	r	Atkin-Lehner	Eigenvalues
12784a (2 curves)	1	2+ 17+ 47+	2+  0 -2  2 -2  6 17+  0
Curve Equation t Generators 12784a1 [0,0,0,-131,-494] 2 [-5:6:1] 12784a2 [0,0,0,-2011,-34710] 2 [127:1326:1]
12784b (2 curves)	1	2+ 17- 47-	2+  0 -4 -4 -6  6 17-  0
Curve Equation t Generators 12784b1 [0,0,0,-7,-90] 2 [9:24:1] 12784b2 [0,0,0,-347,-2470] 2 [-11:4:1]
12784c (2 curves)	1	2- 17+ 47-	2- -2  0 -4  2  6 17+  0
Curve Equation t Generators 12784c1 [0,1,0,-12688,545556] 2 [84:282:1] 12784c2 [0,1,0,-15248,306964] 2 [290:4512:1]
12784d (2 curves)	1	2- 17- 47+	2- -2  0  2  0 -6 17-  4
Curve Equation t Generators 12784d1 [0,1,0,-1888,-30540] 2 [-28:34:1] 12784d2 [0,1,0,-5648,124372] 2 [76:374:1]
12784e (4 curves)	0	2- 17- 47-	2-  0  2  4  4 -2 17- -4
Curve Equation t 12784e1 [0,0,0,181,-1030] 2 12784e2 [0,0,0,-1099,-9990] 4 12784e3 [0,0,0,-16139,-789062] 2 12784e4 [0,0,0,-6539,195642] 4
12784f (2 curves)	0	2- 17- 47-	2- -2  4  2  0  2 17- -4
Curve Equation t 12784f1 [0,1,0,-256,-1548] 2 12784f2 [0,1,0,-4016,-99308] 2

Data from Elliptic Curve Data by J. E. Cremona.
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