Cremona's table of elliptic curves

71200 = 2⁵ · 5² · 89

Class	r	Atkin-Lehner	Eigenvalues
71200a (2 curves)	1	2+ 5+ 89+	2+  0 5+ -4  0  4  6  4
Curve Equation t Generators 71200a1 [0,0,0,-3425,-60500] 2 [-45:50:1] 71200a2 [0,0,0,7700,-372000] 2 [44:228:1]
71200b (2 curves)	1	2+ 5+ 89+	2+  2 5+  0 -4  2  6 -4
Curve Equation t Generators 71200b1 [0,-1,0,-658,6312] 2 [3:66:1] 71200b2 [0,-1,0,592,26312] 2 [831:7282:27]
71200c (1 curve)	1	2+ 5+ 89+	2+  3 5+  4 -2  2 -3 -7
Curve Equation t Generators 71200c1 [0,0,0,-700,8000] 1 [327:973:27]
71200d (1 curve)	1	2+ 5+ 89+	2+ -3 5+  2  3 -2 -6  4
Curve Equation t Generators 71200d1 [0,0,0,-1075,19750] 1 [45:250:1]
71200e (1 curve)	1	2+ 5+ 89+	2+ -3 5+ -4  2  2 -3  7
Curve Equation t Generators 71200e1 [0,0,0,-700,-8000] 1 [36:116:1]
71200f (2 curves)	2	2+ 5+ 89-	2+  0 5+ -2 -4 -4  2 -8
Curve Equation t Generators 71200f1 [0,0,0,-725,-7500] 2 [-16:2:1]&[75:600:1] 71200f2 [0,0,0,-475,-12750] 2 [34:102:1]&[2010:16300:27]
71200g (1 curve)	0	2+ 5+ 89-	2+  1 5+  4 -5  0  4 -2
Curve Equation t 71200g1 [0,1,0,64592,956188] 1
71200h (2 curves)	0	2- 5+ 89+	2-  0 5+  2  0  2 -2 -2
Curve Equation t 71200h1 [0,0,0,-2825,11000] 2 71200h2 [0,0,0,-34075,2417250] 2
71200i (2 curves)	0	2- 5+ 89+	2-  0 5+ -2  0  2 -2  2
Curve Equation t 71200i1 [0,0,0,-2825,-11000] 2 71200i2 [0,0,0,-34075,-2417250] 2
71200j (2 curves)	0	2- 5+ 89+	2-  0 5+  4  0  4  6 -4
Curve Equation t 71200j1 [0,0,0,-3425,60500] 2 71200j2 [0,0,0,7700,372000] 2
71200k (2 curves)	0	2- 5+ 89+	2- -2 5+  0  4  2  6  4
Curve Equation t 71200k1 [0,1,0,-658,-6312] 2 71200k2 [0,1,0,592,-26312] 2
71200l (1 curve)	0	2- 5+ 89+	2-  3 5+ -2 -3 -2 -6 -4
Curve Equation t 71200l1 [0,0,0,-1075,-19750] 1
71200m (2 curves)	1	2- 5+ 89-	2-  0 5+  2  4 -4  2  8
Curve Equation t Generators 71200m1 [0,0,0,-725,7500] 2 [-25:100:1] 71200m2 [0,0,0,-475,12750] 2 [326:5874:1]
71200n (1 curve)	1	2- 5+ 89-	2- -1 5+ -4  5  0  4  2
Curve Equation t Generators 71200n1 [0,-1,0,64592,-956188] 1 [4944:-111250:27]
71200o (2 curves)	1	2- 5+ 89-	2-  2 5+ -2  0  2  2 -2
Curve Equation t Generators 71200o1 [0,-1,0,-2758,55512] 2 [-9:282:1] 71200o2 [0,-1,0,367,171137] 2 [127:1500:1]
71200p (2 curves)	1	2- 5+ 89-	2-  2 5+ -4 -4 -4 -2  6
Curve Equation t Generators 71200p1 [0,-1,0,-1158,-9688] 2 [2026:31875:8] 71200p2 [0,-1,0,-7408,240312] 2 [55662:847025:216]
71200q (2 curves)	1	2- 5+ 89-	2- -2 5+  2  0  2  2  2
Curve Equation t Generators 71200q1 [0,1,0,-2758,-55512] 2 [-31:34:1] 71200q2 [0,1,0,367,-171137] 2 [73:500:1]
71200r (2 curves)	1	2- 5+ 89-	2- -2 5+  4  4 -4 -2 -6
Curve Equation t Generators 71200r1 [0,1,0,-1158,9688] 2 [68:500:1] 71200r2 [0,1,0,-7408,-240312] 2 [794:875:8]

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