Cremona's table of elliptic curves

8200 = 2³ · 5² · 41

Class	r	Atkin-Lehner	Eigenvalues
8200a (2 curves)	1	2+ 5+ 41+	2+  2 5+  2  0  0 -8  0
Curve Equation t Generators 8200a1 [0,-1,0,-1383,-15988] 2 [-134:375:8] 8200a2 [0,-1,0,-6508,189012] 2 [237:3450:1]
8200b (2 curves)	1	2+ 5+ 41+	2+  2 5+ -2  0  0  4 -8
Curve Equation t Generators 8200b1 [0,-1,0,-508,-2988] 2 [-54:75:8] 8200b2 [0,-1,0,-3008,62012] 2 [82:600:1]
8200c (4 curves)	0	2+ 5+ 41-	2+  0 5+  0  4 -6  2  4
Curve Equation t 8200c1 [0,0,0,-1175,-1750] 2 8200c2 [0,0,0,-13675,-614250] 4 8200c3 [0,0,0,-218675,-39359250] 2 8200c4 [0,0,0,-8675,-1069250] 2
8200d (1 curve)	0	2+ 5+ 41-	2+  0 5+ -3 -2  3 -4 -2
Curve Equation t 8200d1 [0,0,0,-141875,20568750] 1
8200e (2 curves)	2	2+ 5- 41+	2+  0 5- -4 -4  2 -6 -8
Curve Equation t Generators 8200e1 [0,0,0,-70,225] 2 [-4:21:1]&[0:15:1] 8200e2 [0,0,0,-95,50] 2 [-5:20:1]&[-1:12:1]
8200f (2 curves)	0	2- 5+ 41+	2-  0 5+  2  0  4  2  4
Curve Equation t 8200f1 [0,0,0,-275,-1250] 2 8200f2 [0,0,0,725,-8250] 2
8200g (2 curves)	0	2- 5+ 41+	2-  0 5+ -2  4 -4 -2 -8
Curve Equation t 8200g1 [0,0,0,-572675,166800750] 2 8200g2 [0,0,0,-547675,182025750] 2
8200h (2 curves)	2	2- 5+ 41+	2- -2 5+ -2 -4 -4 -4  4
Curve Equation t Generators 8200h1 [0,1,0,-383,1738] 2 [-21:31:1]&[-2:50:1] 8200h2 [0,1,0,-5508,155488] 2 [-38:558:1]&[18:250:1]
8200i (2 curves)	0	2- 5+ 41+	2- -2 5+ -4  6  4  6  6
Curve Equation t 8200i1 [0,1,0,-2008,-16512] 2 8200i2 [0,1,0,-27008,-1716512] 2
8200j (2 curves)	1	2- 5+ 41-	2-  0 5+ -2 -2  2  4 -2
Curve Equation t Generators 8200j1 [0,0,0,-782675,-214713250] 2 [-2590:17425:8] 8200j2 [0,0,0,-3907675,2782161750] 2 [48766:10760286:1]
8200k (2 curves)	1	2- 5+ 41-	2- -2 5+  2  2 -6  6 -2
Curve Equation t Generators 8200k1 [0,1,0,-308,1888] 2 [-2:50:1] 8200k2 [0,1,0,192,7888] 2 [8:100:1]
8200l (2 curves)	1	2- 5- 41+	2-  0 5-  4 -4 -2  6 -8
Curve Equation t Generators 8200l1 [0,0,0,-1750,28125] 2 [29:42:1] 8200l2 [0,0,0,-2375,6250] 2 [-9:164:1]
8200m (1 curve)	0	2- 5- 41-	2-  0 5-  3 -2 -3  4 -2
Curve Equation t 8200m1 [0,0,0,-5675,164550] 1

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