Cremona's table of elliptic curves

18224 = 2⁴ · 17 · 67

Class	r	Atkin-Lehner	Eigenvalues
18224a (2 curves)	0	2+ 17- 67+	2+  0  0  4  0 -6 17-  8
Curve Equation t 18224a1 [0,0,0,-95,286] 2 18224a2 [0,0,0,-1435,20922] 2
18224b (4 curves)	1	2+ 17- 67-	2+  0  2 -4  0 -2 17-  4
Curve Equation t Generators 18224b1 [0,0,0,-74,-517] 2 [12196:168181:64] 18224b2 [0,0,0,-1519,-22770] 4 [27020916:366181785:140608] 18224b3 [0,0,0,-24299,-1457910] 2 [112367377392660:1035638208880865:503598378816] 18224b4 [0,0,0,-1859,-11822] 4 [-1095:7696:125]
18224c (1 curve)	1	2+ 17- 67-	2+ -1 -2 -4 -3 -4 17- -3
Curve Equation t Generators 18224c1 [0,-1,0,-289,2669] 1 [20:67:1]
18224d (1 curve)	1	2+ 17- 67-	2+  2  2  1  2 -5 17- -4
Curve Equation t Generators 18224d1 [0,-1,0,-72,272] 1 [8:12:1]
18224e (2 curves)	1	2+ 17- 67-	2+ -2  0 -2  2 -6 17- -4
Curve Equation t Generators 18224e1 [0,1,0,17,0] 2 [16:68:1] 18224e2 [0,1,0,-68,-68] 2 [-2:8:1]
18224f (2 curves)	0	2- 17+ 67+	2-  0  0 -2 -4  6 17+ -4
Curve Equation t 18224f1 [0,0,0,-24755,-1495182] 2 18224f2 [0,0,0,-14515,-2742414] 2
18224g (1 curve)	0	2- 17+ 67+	2-  1  2  0 -5  4 17+  5
Curve Equation t 18224g1 [0,1,0,3,-25] 1
18224h (2 curves)	1	2- 17+ 67-	2- -2  2  4 -2  6 17+ -4
Curve Equation t Generators 18224h1 [0,1,0,-13072,337428] 2 [-28:826:1] 18224h2 [0,1,0,-184592,30456340] 2 [110460:728650:343]
18224i (1 curve)	1	2- 17- 67+	2- -1  2  4 -3  0 17-  3
Curve Equation t Generators 18224i1 [0,-1,0,-1717,27965] 1 [20:35:1]
18224j (2 curves)	1	2- 17- 67+	2-  2 -4  2 -2  2 17- -4
Curve Equation t Generators 18224j1 [0,-1,0,-1280,-9664] 2 [64:408:1] 18224j2 [0,-1,0,4080,-73984] 2 [170:2346:1]
18224k (1 curve)	0	2- 17- 67-	2-  1  2  4 -5  0 17-  5
Curve Equation t 18224k1 [0,1,0,-1717,-2170625] 1

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