Cremona's table of elliptic curves

42224 = 2⁴ · 7 · 13 · 29

Class	r	Atkin-Lehner	Eigenvalues
42224a (2 curves)	0	2+ 7+ 13- 29+	2+  0  2 7+ -6 13-  2 -2
Curve Equation t 42224a1 [0,0,0,-10414,409047] 2 42224a2 [0,0,0,-10559,397070] 2
42224b (2 curves)	1	2+ 7+ 13- 29-	2+ -2 -2 7+ -2 13-  0  8
Curve Equation t Generators 42224b1 [0,1,0,-8099,-283244] 2 [156:1508:1] 42224b2 [0,1,0,-7644,-316004] 2 [567:13340:1]
42224c (1 curve)	1	2+ 7- 13+ 29-	2+  1  0 7-  4 13+ -2 -3
Curve Equation t Generators 42224c1 [0,1,0,-393,4979] 1 [74:377:8]
42224d (2 curves)	1	2+ 7- 13- 29+	2+  0  2 7- -2 13-  6 -2
Curve Equation t Generators 42224d1 [0,0,0,-44014,3203163] 2 [4377:15470:27] 42224d2 [0,0,0,-165959,-22576010] 2 [517:5460:1]
42224e (1 curve)	0	2+ 7- 13- 29-	2+ -1  4 7- -4 13-  2  7
Curve Equation t 42224e1 [0,-1,0,1485479,-436395547] 1
42224f (2 curves)	0	2+ 7- 13- 29-	2+  2 -2 7-  2 13- -4  4
Curve Equation t 42224f1 [0,-1,0,21,-46] 2 42224f2 [0,-1,0,-124,-336] 2
42224g (2 curves)	2	2- 7+ 13+ 29+	2- -2 -2 7+  4 13+ -4  2
Curve Equation t Generators 42224g1 [0,1,0,-224,-12428] 2 [58:-416:1]&[188:2574:1] 42224g2 [0,1,0,-9504,-357644] 2 [-60:14:1]&[-54:32:1]
42224h (1 curve)	0	2- 7+ 13+ 29+	2- -2 -4 7+ -4 13+  5  1
Curve Equation t 42224h1 [0,1,0,-17480,-900236] 1
42224i (2 curves)	1	2- 7+ 13- 29+	2-  2  0 7+  0 13-  3  1
Curve Equation t Generators 42224i1 [0,-1,0,112,-3136] 1 [136:1584:1] 42224i2 [0,-1,0,-1008,85568] 1 [-16:312:1]
42224j (3 curves)	0	2- 7+ 13- 29-	2-  2  0 7+  0 13- -3  7
Curve Equation t 42224j1 [0,-1,0,7680952,-749564944] 1 42224j2 [0,-1,0,-99630648,417255262064] 1 42224j3 [0,-1,0,-8270185768,289484388095088] 1
42224k (1 curve)	0	2- 7+ 13- 29-	2- -3  0 7+  0 13-  2 -3
Curve Equation t 42224k1 [0,0,0,-880,-10064] 1
42224l (1 curve)	0	2- 7- 13+ 29-	2- -1 -2 7-  3 13+  0  2
Curve Equation t 42224l1 [0,-1,0,-76664,8560240] 1
42224m (2 curves)	0	2- 7- 13+ 29-	2-  2 -2 7-  0 13+ -6 -4
Curve Equation t 42224m1 [0,-1,0,-469,-3756] 2 42224m2 [0,-1,0,-404,-4900] 2
42224n (1 curve)	2	2- 7- 13- 29+	2-  1 -2 7- -3 13- -4 -6
Curve Equation t Generators 42224n1 [0,1,0,41216,1404340] 1 [252:5278:1]&[42:1792:1]
42224o (2 curves)	1	2- 7- 13- 29-	2-  0  2 7- -2 13-  4  4
Curve Equation t Generators 42224o1 [0,0,0,-404,2875] 2 [50:195:8] 42224o2 [0,0,0,-6319,193338] 2 [10970:70122:125]
42224p (1 curve)	1	2- 7- 13- 29-	2-  1  2 7-  1 13- -4 -6
Curve Equation t Generators 42224p1 [0,1,0,-118032,15570068] 1 [202:104:1]
42224q (1 curve)	1	2- 7- 13- 29-	2- -3 -4 7-  4 13- -2  1
Curve Equation t Generators 42224q1 [0,0,0,88568,-39859220] 1 [1882:82418:1]

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