Cremona's table of elliptic curves

40222 = 2 · 7 · 13² · 17

Class	r	Atkin-Lehner	Eigenvalues
40222a (1 curve)	1	2+ 7+ 13+ 17+	2+ -1  2 7+ -1 13+ 17+ -8
Curve Equation t Generators 40222a1 [1,1,0,-23494,1930388] 1 [-151:1512:1]
40222b (1 curve)	1	2+ 7+ 13+ 17+	2+  2  2 7+ -4 13+ 17+  1
Curve Equation t Generators 40222b1 [1,1,0,-603424,180384768] 1 [4771227375:-227561828628:1953125]
40222c (3 curves)	1	2+ 7+ 13+ 17+	2+ -2 -3 7+  0 13+ 17+ -2
Curve Equation t Generators 40222c1 [1,0,1,-58985,5509740] 1 [144:12:1] 40222c2 [1,0,1,15375,18177980] 1 [-168:3379:1] 40222c3 [1,0,1,-138415,-491482080] 1 [2198:98019:1]
40222d (2 curves)	1	2+ 7+ 13+ 17+	2+ -2  4 7+  6 13+ 17+  0
Curve Equation t Generators 40222d1 [1,0,1,-10144,45294] 2 [222:2846:1] 40222d2 [1,0,1,-118304,15620334] 2 [312:2861:1]
40222e (4 curves)	2	2+ 7+ 13+ 17-	2+  0 -2 7+  0 13+ 17- -4
Curve Equation t Generators 40222e1 [1,-1,0,-3158,68004] 2 [-64:102:1]&[-16:346:1] 40222e2 [1,-1,0,-6538,-100320] 4 [-33:297:1]&[-29:268:1] 40222e3 [1,-1,0,22192,-761110] 2 [305:5705:1]&[413:8666:1] 40222e4 [1,-1,0,-89348,-10252826] 2 [-171:145:1]&[-37254:33017:216]
40222f (4 curves)	2	2+ 7+ 13+ 17-	2+ -2  0 7+  0 13+ 17-  4
Curve Equation t Generators 40222f1 [1,0,1,-800726,272323560] 2 [-2098:173425:8]&[300:7539:1] 40222f2 [1,0,1,-97686,734080232] 2 [-883:11933:1]&[-220:27403:1] 40222f3 [1,0,1,-6546726,-6312684376] 2 [-1623:6985:1]&[-1416:11608:1] 40222f4 [1,0,1,879134,-19815868200] 2 [3095:110499:1]&[70383:338285:27]
40222g (1 curve)	0	2+ 7+ 13+ 17-	2+  3 -2 7+  3 13+ 17- -4
Curve Equation t 40222g1 [1,-1,0,-4212103,-3327260611] 1
40222h (1 curve)	1	2+ 7+ 13- 17-	2+  0  3 7+ -6 13- 17-  6
Curve Equation t Generators 40222h1 [1,-1,0,-3158,314068] 1 [-4716:26525:64]
40222i (2 curves)	0	2+ 7- 13+ 17+	2+  1 -3 7-  6 13+ 17+ -4
Curve Equation t 40222i1 [1,0,1,376190,834773812] 3 40222i2 [1,0,1,-3391665,-22761041340] 1
40222j (2 curves)	0	2+ 7- 13+ 17+	2+  2  0 7-  2 13+ 17+  0
Curve Equation t 40222j1 [1,1,0,-3045,-65671] 2 40222j2 [1,1,0,-4735,13083] 2
40222k (1 curve)	0	2+ 7- 13+ 17+	2+  2 -3 7- -4 13+ 17+ -6
Curve Equation t 40222k1 [1,1,0,7097321,-2420081451] 1
40222l (4 curves)	1	2+ 7- 13+ 17-	2+  0 -2 7- -4 13+ 17-  4
Curve Equation t Generators 40222l1 [1,-1,0,-155258,-22015564] 2 [-185:684:1] 40222l2 [1,-1,0,-2440138,-1466516700] 4 [75072:3069022:27] 40222l3 [1,-1,0,-2396198,-1521907464] 4 [2009:41062:1] 40222l4 [1,-1,0,-39042158,-93886617200] 2 [277491:-20883893:27]
40222m (1 curve)	1	2+ 7- 13+ 17-	2+ -1 -1 7-  2 13+ 17- -4
Curve Equation t Generators 40222m1 [1,1,0,-3,3619] 1 [-5:62:1]
40222n (2 curves)	1	2+ 7- 13- 17+	2+ -1 -2 7- -5 13- 17+  1
Curve Equation t Generators 40222n1 [1,1,0,-5766621,-5333905091] 1 [20674:2941331:1] 40222n2 [1,1,0,36624494,15917787956] 1 [7156:799238:1]
40222o (2 curves)	0	2- 7+ 13+ 17+	2-  1  0 7+ -3 13+ 17+  7
Curve Equation t 40222o1 [1,0,0,-7693,280669] 1 40222o2 [1,0,0,47232,-231232] 1
40222p (2 curves)	0	2- 7+ 13+ 17+	2-  1  3 7+ -6 13+ 17+  4
Curve Equation t 40222p1 [1,0,0,2226,380132] 1 40222p2 [1,0,0,-20069,-10361599] 1
40222q (2 curves)	0	2- 7+ 13+ 17+	2-  2 -4 7+  4 13+ 17+  6
Curve Equation t 40222q1 [1,1,1,5320,-26759] 2 40222q2 [1,1,1,-21720,-243079] 2
40222r (1 curve)	1	2- 7+ 13+ 17-	2- -1  1 7+ -2 13+ 17-  4
Curve Equation t Generators 40222r1 [1,1,1,-595,7953759] 1 [-17774262:147003651:97336]
40222s (1 curve)	1	2- 7+ 13+ 17-	2-  2 -3 7+ -4 13+ 17- -2
Curve Equation t Generators 40222s1 [1,1,1,-141372,-26114275] 1 [447:283:1]
40222t (2 curves)	1	2- 7+ 13- 17+	2- -1  2 7+  5 13- 17+ -1
Curve Equation t Generators 40222t1 [1,1,1,-34122,-2440937] 1 [421:7407:1] 40222t2 [1,1,1,216713,7328589] 1 [-21:1674:1]
40222u (2 curves)	1	2- 7- 13+ 17+	2-  0  2 7-  2 13+ 17+  2
Curve Equation t Generators 40222u1 [1,-1,1,306,953] 2 [2251808:-20333153:32768] 40222u2 [1,-1,1,-1384,9065] 2 [2230:35737:8]
40222v (1 curve)	1	2- 7- 13+ 17+	2-  1  0 7- -1 13+ 17+  1
Curve Equation t Generators 40222v1 [1,0,0,-244293,46909121] 1 [-350:9639:1]
40222w (1 curve)	1	2- 7- 13+ 17+	2-  2 -2 7-  4 13+ 17+ -1
Curve Equation t Generators 40222w1 [1,1,1,-101978744,396815228857] 1 [5189:83421:1]
40222x (1 curve)	1	2- 7- 13- 17-	2-  0 -3 7-  6 13- 17- -6
Curve Equation t Generators 40222x1 [1,-1,1,-19,147] 1 [-3:14:1]

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