Cremona's table of elliptic curves

17689 = 7² · 19²

Class	r	Atkin-Lehner	Eigenvalues
17689a (1 curve)	1	7+ 19+	2 -2  2 7+  5 -2 -3 19+
Curve Equation t Generators 17689a1 [0,1,1,-784212,274975341] 1 [67879682:4935207113:405224]
17689b (1 curve)	1	7+ 19+	-2  2  2 7+  5  2 -3 19+
Curve Equation t Generators 17689b1 [0,-1,1,-2172,-39404] 1 [527:12037:1]
17689c (1 curve)	0	7+ 19-	-2 -2  3 7+  4  6 -7 19-
Curve Equation t 17689c1 [0,1,1,-41274,-4740816] 1
17689d (2 curves)	0	7- 19+	0  0  1 7- -5  0  7 19+
Curve Equation t 17689d1 [0,0,1,-1862,-30956] 1 17689d2 [0,0,1,-672182,212325489] 1
17689e (1 curve)	0	7- 19+	2  2 -2 7-  5  2  3 19+
Curve Equation t 17689e1 [0,-1,1,-16004,-797105] 1
17689f (1 curve)	2	7- 19+	-2 -2 -2 7-  5 -2  3 19+
Curve Equation t Generators 17689f1 [0,1,1,-44,102] 1 [-8:2:1]&[6:9:1]
17689g (3 curves)	1	7- 19-	0 -2 -3 7-  3 -4  3 19-
Curve Equation t Generators 17689g1 [0,1,1,11793,-17853] 1 [25:541:1] 17689g2 [0,1,1,-165097,-27524248] 1 [4680:318943:1] 17689g3 [0,1,1,-13608737,-19327549923] 1 [7201975:340614206:1331]
17689h (4 curves)	1	7- 19-	-1  0  0 7-  4  0  0 19-
Curve Equation t Generators 17689h1 [1,-1,1,-790,10700] 2 [30:100:1] 17689h2 [1,-1,1,-13425,602018] 2 [24:529:1] 17689h3 [1,-1,1,-38695,-3592802] 2 [1782972088482:-29074063768027:4716275733] 17689h4 [1,-1,1,-657810,-205176646] 2 [-37301296:11127906:79507]
17689i (1 curve)	1	7- 19-	-2  2 -3 7-  4 -6  7 19-
Curve Equation t Generators 17689i1 [0,-1,1,-842,14062] 1 [70:541:1]

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