Cremona's table of elliptic curves

16224 = 2⁵ · 3 · 13²

Class	r	Atkin-Lehner	Eigenvalues
16224a (1 curve)	1	2+ 3+ 13+	2+ 3+  0 -1 -6 13+  2  4
Curve Equation t Generators 16224a1 [0,-1,0,-380813,-92063739] 1 [31437790755:5490340891836:1030301]
16224b (2 curves)	1	2+ 3+ 13+	2+ 3+  0  2  0 13+  2 -2
Curve Equation t Generators 16224b1 [0,-1,0,-3098,66780] 2 [-17:338:1] 16224b2 [0,-1,0,-5633,-55407] 2 [139:1352:1]
16224c (4 curves)	1	2+ 3+ 13+	2+ 3+  2  0 -4 13+ -6  8
Curve Equation t Generators 16224c1 [0,-1,0,-39602,-3005640] 4 [-1671810493:-1106543430:13997521] 16224c2 [0,-1,0,-632792,-193538268] 2 [-4186708054051106157:-20479759191367910:9122385482094123] 16224c3 [0,-1,0,-62417,877473] 2 [11176:1181141:1] 16224c4 [0,-1,0,-17632,-6345080] 2 [2006383145857639235:-20724167734223304798:7577465259773375]
16224d (2 curves)	1	2+ 3+ 13+	2+ 3+ -2  2 -2 13+  6  2
Curve Equation t Generators 16224d1 [0,-1,0,-490494,132345108] 2 [398:122:1] 16224d2 [0,-1,0,-422049,170523729] 2 [-771:6084:1]
16224e (4 curves)	1	2+ 3+ 13+	2+ 3+ -2 -4  4 13+ -6 -4
Curve Equation t Generators 16224e1 [0,-1,0,-394,-1496] 4 [-5:18:1] 16224e2 [0,-1,0,-5464,-153596] 2 [2698:48165:8] 16224e3 [0,-1,0,-2929,60865] 2 [48:169:1] 16224e4 [0,-1,0,1296,-12312] 2 [333:6102:1]
16224f (1 curve)	1	2+ 3+ 13+	2+ 3+  3  2 -2 13+ -3  6
Curve Equation t Generators 16224f1 [0,-1,0,-2929,271777] 1 [-56:507:1]
16224g (1 curve)	1	2+ 3+ 13+	2+ 3+ -4  3  2 13+  6 -4
Curve Equation t Generators 16224g1 [0,-1,0,35,181] 1 [-1:12:1]
16224h (1 curve)	0	2+ 3- 13+	2+ 3-  0  1  6 13+  2 -4
Curve Equation t 16224h1 [0,1,0,-380813,92063739] 1
16224i (2 curves)	0	2+ 3- 13+	2+ 3-  0 -2  0 13+  2  2
Curve Equation t 16224i1 [0,1,0,-3098,-66780] 2 16224i2 [0,1,0,-5633,55407] 2
16224j (2 curves)	0	2+ 3- 13+	2+ 3-  2 -2  6 13+ -2  6
Curve Equation t 16224j1 [0,1,0,-2422,35972] 2 16224j2 [0,1,0,5183,223055] 2
16224k (1 curve)	0	2+ 3- 13+	2+ 3-  3 -2  2 13+ -3 -6
Curve Equation t 16224k1 [0,1,0,-2929,-271777] 1
16224l (1 curve)	0	2+ 3- 13+	2+ 3-  4  3  2 13+  6 -4
Curve Equation t 16224l1 [0,1,0,5859,-421173] 1
16224m (1 curve)	0	2- 3+ 13+	2- 3+  0  1  6 13+  2 -4
Curve Equation t 16224m1 [0,-1,0,-2253,-41211] 1
16224n (2 curves)	2	2- 3+ 13+	2- 3+  0 -2 -4 13+ -6 -6
Curve Equation t Generators 16224n1 [0,-1,0,-16618,-356396] 2 [-104:486:1]&[-69:676:1] 16224n2 [0,-1,0,-221953,-40150319] 2 [-273:148:1]&[555:2704:1]
16224o (2 curves)	0	2- 3+ 13+	2- 3+  2  2 -6 13+ -2 -6
Curve Equation t 16224o1 [0,-1,0,-2422,-35972] 2 16224o2 [0,-1,0,5183,-223055] 2
16224p (1 curve)	2	2- 3+ 13+	2- 3+ -3 -2  2 13+ -3 -6
Curve Equation t Generators 16224p1 [0,-1,0,-17,129] 1 [-3:12:1]&[-1:12:1]
16224q (1 curve)	0	2- 3+ 13+	2- 3+  4 -3 -2 13+  6  4
Curve Equation t 16224q1 [0,-1,0,5859,421173] 1
16224r (1 curve)	1	2- 3- 13+	2- 3-  0 -1 -6 13+  2  4
Curve Equation t Generators 16224r1 [0,1,0,-2253,41211] 1 [69:468:1]
16224s (2 curves)	1	2- 3- 13+	2- 3-  0  2  4 13+ -6  6
Curve Equation t Generators 16224s1 [0,1,0,-16618,356396] 2 [-100:1014:1] 16224s2 [0,1,0,-221953,40150319] 2 [290:507:1]
16224t (4 curves)	1	2- 3- 13+	2- 3-  2  0  4 13+ -6 -8
Curve Equation t Generators 16224t1 [0,1,0,-39602,3005640] 4 [133:330:1] 16224t2 [0,1,0,-62417,-877473] 2 [-191:2028:1] 16224t3 [0,1,0,-632792,193538268] 2 [663490:8136843:1000] 16224t4 [0,1,0,-17632,6345080] 2 [26:2430:1]
16224u (2 curves)	1	2- 3- 13+	2- 3- -2 -2  2 13+  6 -2
Curve Equation t Generators 16224u1 [0,1,0,-490494,-132345108] 2 [-402:174:1] 16224u2 [0,1,0,-422049,-170523729] 2 [4161:264828:1]
16224v (4 curves)	1	2- 3- 13+	2- 3- -2  4 -4 13+ -6  4
Curve Equation t Generators 16224v1 [0,1,0,-394,1496] 4 [125:1386:1] 16224v2 [0,1,0,-2929,-60865] 2 [82:507:1] 16224v3 [0,1,0,-5464,153596] 2 [45241:453090:343] 16224v4 [0,1,0,1296,12312] 2 [-6:66:1]
16224w (1 curve)	1	2- 3- 13+	2- 3- -3  2 -2 13+ -3  6
Curve Equation t Generators 16224w1 [0,1,0,-17,-129] 1 [7:12:1]
16224x (1 curve)	1	2- 3- 13+	2- 3- -4 -3 -2 13+  6  4
Curve Equation t Generators 16224x1 [0,1,0,35,-181] 1 [5:12:1]

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