Cremona's table of elliptic curves

21216 = 2⁵ · 3 · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
21216a (2 curves)	1	2+ 3+ 13+ 17+	2+ 3+  2  0  2 13+ 17+ -4
Curve Equation t Generators 21216a1 [0,-1,0,-42,-72] 2 [-4:4:1] 21216a2 [0,-1,0,88,-540] 2 [9:30:1]
21216b (2 curves)	2	2+ 3+ 13+ 17-	2+ 3+ -2 -4 -2 13+ 17-  2
Curve Equation t Generators 21216b1 [0,-1,0,-34,-20] 2 [-4:6:1]&[-2:6:1] 21216b2 [0,-1,0,-289,1969] 2 [-15:52:1]&[-7:60:1]
21216c (2 curves)	2	2+ 3+ 13- 17+	2+ 3+ -4 -4  0 13- 17+ -6
Curve Equation t Generators 21216c1 [0,-1,0,-150,756] 2 [-10:34:1]&[-9:36:1] 21216c2 [0,-1,0,-65,1521] 2 [-11:28:1]&[0:39:1]
21216d (2 curves)	1	2+ 3+ 13- 17-	2+ 3+ -4  2  4 13- 17-  2
Curve Equation t Generators 21216d1 [0,-1,0,-5530,74236] 2 [84:442:1] 21216d2 [0,-1,0,-44545,-3554159] 2 [-120:221:1]
21216e (2 curves)	0	2+ 3- 13+ 17+	2+ 3- -2 -2 -2 13+ 17+ -2
Curve Equation t 21216e1 [0,1,0,-1447694,-670927980] 2 21216e2 [0,1,0,-1447649,-670971729] 2
21216f (2 curves)	0	2+ 3- 13+ 17+	2+ 3-  4 -2  4 13+ 17+  4
Curve Equation t 21216f1 [0,1,0,-346,-688] 2 21216f2 [0,1,0,1344,-4068] 2
21216g (2 curves)	1	2+ 3- 13+ 17-	2+ 3- -2  4  2 13+ 17- -2
Curve Equation t Generators 21216g1 [0,1,0,-34,20] 2 [8:18:1] 21216g2 [0,1,0,-289,-1969] 2 [25:84:1]
21216h (2 curves)	2	2+ 3- 13- 17-	2+ 3- -4 -2 -4 13- 17- -2
Curve Equation t Generators 21216h1 [0,1,0,-5530,-74236] 2 [-58:234:1]&[-16:102:1] 21216h2 [0,1,0,-44545,3554159] 2 [-205:2028:1]&[-101:2652:1]
21216i (2 curves)	0	2- 3+ 13+ 17+	2- 3+ -2  2  2 13+ 17+  2
Curve Equation t 21216i1 [0,-1,0,-1447694,670927980] 2 21216i2 [0,-1,0,-1447649,670971729] 2
21216j (2 curves)	0	2- 3+ 13+ 17+	2- 3+  4  2 -4 13+ 17+ -4
Curve Equation t 21216j1 [0,-1,0,-346,688] 2 21216j2 [0,-1,0,1344,4068] 2
21216k (2 curves)	1	2- 3+ 13+ 17-	2- 3+  2  0  2 13+ 17- -6
Curve Equation t Generators 21216k1 [0,-1,0,-1006762,385331908] 2 [93192:7385633:512] 21216k2 [0,-1,0,-16064257,24787508305] 2 [445491897528:-1796511078665:183250432]
21216l (4 curves)	2	2- 3+ 13- 17-	2- 3+ -2  0 -4 13- 17- -4
Curve Equation t Generators 21216l1 [0,-1,0,-174,504] 4 [-13:20:1]&[-6:36:1] 21216l2 [0,-1,0,591,3105] 4 [-3:36:1]&[11:104:1] 21216l3 [0,-1,0,-1344,-18216] 2 [-19:10:1]&[45:102:1] 21216l4 [0,-1,0,-2384,45588] 2 [-52:162:1]&[4:190:1]
21216m (2 curves)	1	2- 3- 13+ 17+	2- 3-  2  0 -2 13+ 17+  4
Curve Equation t Generators 21216m1 [0,1,0,-42,72] 2 [-6:12:1] 21216m2 [0,1,0,88,540] 2 [63:510:1]
21216n (2 curves)	0	2- 3- 13+ 17-	2- 3-  2  0 -2 13+ 17-  6
Curve Equation t 21216n1 [0,1,0,-1006762,-385331908] 2 21216n2 [0,1,0,-16064257,-24787508305] 2
21216o (2 curves)	0	2- 3- 13- 17+	2- 3- -4  4  0 13- 17+  6
Curve Equation t 21216o1 [0,1,0,-150,-756] 2 21216o2 [0,1,0,-65,-1521] 2
21216p (4 curves)	1	2- 3- 13- 17-	2- 3- -2  0  4 13- 17-  4
Curve Equation t Generators 21216p1 [0,1,0,-174,-504] 4 [-4:12:1] 21216p2 [0,1,0,591,-3105] 2 [18:117:1] 21216p3 [0,1,0,-1344,18216] 4 [202:255:8] 21216p4 [0,1,0,-2384,-45588] 2 [1226:14337:8]

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