Cremona's table of elliptic curves

17080 = 2³ · 5 · 7 · 61

Class	r	Atkin-Lehner	Eigenvalues
17080a (1 curve)	2	2+ 5+ 7+ 61-	2+ -2 5+ 7+  0  0 -5 -6
Curve Equation t Generators 17080a1 [0,1,0,-161,739] 1 [-5:38:1]&[-1:30:1]
17080b (1 curve)	2	2+ 5+ 7- 61+	2+ -2 5+ 7- -4 -4 -3 -6
Curve Equation t Generators 17080b1 [0,1,0,1199,22515] 1 [-13:70:1]&[15:-210:1]
17080c (4 curves)	1	2+ 5- 7+ 61-	2+  0 5- 7+  0  6 -2 -4
Curve Equation t Generators 17080c1 [0,0,0,-167,506] 2 [-14:10:1] 17080c2 [0,0,0,-1147,-14586] 4 [15074:654225:8] 17080c3 [0,0,0,-18227,-947154] 2 [-578265870:-3925702:7414875] 17080c4 [0,0,0,253,-47906] 2 [5991370:14791998:166375]
17080d (4 curves)	1	2+ 5- 7+ 61-	2+  0 5- 7+ -4 -2 -2 -4
Curve Equation t Generators 17080d1 [0,0,0,-1322,-14719] 4 [-3280:5453:125] 17080d2 [0,0,0,-19927,-1082646] 4 [-977770918:-92662050:12008989] 17080d3 [0,0,0,-318827,-69291626] 2 [2204966136282:16466975156195:3254952168] 17080d4 [0,0,0,-18707,-1220994] 2 [1967:87020:1]
17080e (1 curve)	1	2+ 5- 7- 61+	2+ -1 5- 7- -3  0  3 -5
Curve Equation t Generators 17080e1 [0,-1,0,-133400,18797500] 1 [50:3500:1]
17080f (1 curve)	0	2- 5+ 7+ 61+	2-  0 5+ 7+ -2 -3 -3  7
Curve Equation t 17080f1 [0,0,0,-5003,-136218] 1
17080g (1 curve)	1	2- 5+ 7+ 61-	2- -1 5+ 7+ -5  4 -3 -1
Curve Equation t Generators 17080g1 [0,-1,0,-3536,-69764] 1 [-34:100:1]
17080h (2 curves)	1	2- 5+ 7- 61+	2-  0 5+ 7-  2 -2 -6  4
Curve Equation t Generators 17080h1 [0,0,0,-83,222] 2 [2:8:1] 17080h2 [0,0,0,197,1398] 2 [58:456:1]
17080i (2 curves)	1	2- 5+ 7- 61+	2-  2 5+ 7-  0  6 -6  4
Curve Equation t Generators 17080i1 [0,-1,0,-64456,6315900] 2 [-291:588:1] 17080i2 [0,-1,0,-78176,3445676] 2 [-8025:15652:27]
17080j (1 curve)	0	2- 5- 7+ 61-	2-  2 5- 7+  4  1 -7  5
Curve Equation t 17080j1 [0,-1,0,24320,-734100] 1
17080k (2 curves)	0	2- 5- 7+ 61-	2- -2 5- 7+  4  2  2 -8
Curve Equation t 17080k1 [0,1,0,-120,-512] 2 17080k2 [0,1,0,-400,2400] 2

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