Cremona's table of elliptic curves

51442 = 2 · 17² · 89

Class	r	Atkin-Lehner	Eigenvalues
51442a (2 curves)	0	2+ 17+ 89-	2+  0  4  0  6  0 17+ -6
Curve Equation t 51442a1 [1,-1,0,-9880,373248] 2 51442a2 [1,-1,0,-21440,-655592] 2
51442b (2 curves)	2	2+ 17+ 89-	2+ -2 -2  0  0 -4 17+ -2
Curve Equation t Generators 51442b1 [1,0,1,-12867,482750] 2 [-112:778:1]&[-1:704:1] 51442b2 [1,0,1,-197827,33849534] 2 [262:13:1]&[2198:2943:8]
51442c (2 curves)	0	2- 17+ 89+	2-  0  4  4  0  2 17+  8
Curve Equation t 51442c1 [1,-1,1,-2443,-41701] 2 51442c2 [1,-1,1,2997,-204901] 2
51442d (2 curves)	0	2- 17+ 89+	2-  0 -4 -4  0  2 17+  8
Curve Equation t 51442d1 [1,-1,1,-705937,-207699455] 2 51442d2 [1,-1,1,866223,-1003212415] 2
51442e (2 curves)	0	2- 17+ 89+	2-  1 -1  2 -2 -1 17+  0
Curve Equation t 51442e1 [1,0,0,99699,-8886991] 1 51442e2 [1,0,0,-17243191,-27561334901] 1
51442f (2 curves)	0	2- 17+ 89+	2- -1 -3  4  6  2 17+  5
Curve Equation t 51442f1 [1,1,1,1728,-139295] 1 51442f2 [1,1,1,-160112,-24738975] 1
51442g (2 curves)	0	2- 17+ 89+	2- -2  2  2  4  2 17+  0
Curve Equation t 51442g1 [1,0,0,-34397,2427937] 2 51442g2 [1,0,0,-548817,156445285] 2
51442h (1 curve)	1	2- 17+ 89-	2- -1 -1  4 -4 -5 17+ -4
Curve Equation t Generators 51442h1 [1,1,1,-13011,568177] 1 [103:526:1]
51442i (1 curve)	1	2- 17+ 89-	2-  3  1  0  0 -3 17+  0
Curve Equation t Generators 51442i1 [1,-1,1,25233,618103] 1 [-159:18562:27]

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