Cremona's table of elliptic curves

29784 = 2³ · 3 · 17 · 73

Class	r	Atkin-Lehner	Eigenvalues
29784a (1 curve)	2	2+ 3+ 17+ 73-	2+ 3+ -2 -1 -2  2 17+ -1
Curve Equation t Generators 29784a1 [0,-1,0,1,-12] 1 [3:3:1]&[7:17:1]
29784b (2 curves)	2	2+ 3+ 17+ 73-	2+ 3+ -2 -4  4 -4 17+ -4
Curve Equation t Generators 29784b1 [0,-1,0,-33504,2371644] 2 [-183:1530:1]&[105:18:1] 29784b2 [0,-1,0,-33464,2377548] 2 [61:748:1]&[81:438:1]
29784c (1 curve)	1	2+ 3+ 17- 73-	2+ 3+  2  3  0 -4 17- -4
Curve Equation t Generators 29784c1 [0,-1,0,-497,4437] 1 [13:-2:1]
29784d (1 curve)	2	2+ 3- 17+ 73+	2+ 3- -4 -1 -2 -4 17+ -5
Curve Equation t Generators 29784d1 [0,1,0,-235,8594] 1 [-22:60:1]&[-19:81:1]
29784e (1 curve)	1	2+ 3- 17- 73+	2+ 3-  0  1  2 -4 17-  5
Curve Equation t Generators 29784e1 [0,1,0,12,144] 1 [0:12:1]
29784f (1 curve)	1	2- 3+ 17+ 73-	2- 3+  0 -3  2  0 17+  7
Curve Equation t Generators 29784f1 [0,-1,0,-1043,-12876] 1 [76:584:1]
29784g (1 curve)	1	2- 3+ 17+ 73-	2- 3+ -1  0  3 -3 17+  1
Curve Equation t Generators 29784g1 [0,-1,0,-38921,3971229] 1 [103:1022:1]
29784h (4 curves)	1	2- 3+ 17+ 73-	2- 3+  2  0  0  6 17+  4
Curve Equation t Generators 29784h1 [0,-1,0,-1487,-36912] 4 [5646240583:-48431410105:59776471] 29784h2 [0,-1,0,-28132,-1806140] 4 [4607084:78558870:12167] 29784h3 [0,-1,0,-32512,-1201700] 2 [7039491342:-172215733340:10793861] 29784h4 [0,-1,0,-450072,-116067492] 2 [22337942562:-254563860240:26730899]
29784i (1 curve)	1	2- 3+ 17- 73+	2- 3+  2  2  3  1 17- -7
Curve Equation t Generators 29784i1 [0,-1,0,3808,53292] 1 [-7:162:1]
29784j (1 curve)	0	2- 3+ 17- 73-	2- 3+ -4  3  6  0 17-  1
Curve Equation t 29784j1 [0,-1,0,-26780,-1678044] 1
29784k (1 curve)	1	2- 3- 17+ 73+	2- 3-  0  3 -2  0 17+ -1
Curve Equation t Generators 29784k1 [0,1,0,-33,-813] 1 [687:3358:27]
29784l (4 curves)	2	2- 3- 17+ 73-	2- 3- -2 -4  0 -6 17+  4
Curve Equation t Generators 29784l1 [0,1,0,-8004,260640] 4 [-102:162:1]&[-90:510:1] 29784l2 [0,1,0,-22584,-975744] 4 [-120:144:1]&[-57:360:1] 29784l3 [0,1,0,56256,-6210720] 2 [99:582:1]&[1695:70440:1] 29784l4 [0,1,0,-334704,-74636064] 2 [831:14892:1]&[1107:30210:1]
29784m (1 curve)	0	2- 3- 17- 73+	2- 3-  0 -3 -2  0 17-  5
Curve Equation t 29784m1 [0,1,0,-503868,339599760] 1
29784n (1 curve)	0	2- 3- 17- 73+	2- 3-  2  5  4  0 17-  4
Curve Equation t 29784n1 [0,1,0,140943,-9508797] 1

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