Cremona's table of elliptic curves

47138 = 2 · 7² · 13 · 37

Class	r	Atkin-Lehner	Eigenvalues
47138a (1 curve)	1	2+ 7+ 13+ 37+	2+  0  0 7+ -4 13+  4 -5
Curve Equation t Generators 47138a1 [1,-1,0,-292147,-60705891] 1 [494348520611787965:-5682723130320368107:725627513984381]
47138b (1 curve)	0	2+ 7- 13+ 37+	2+ -1  2 7- -1 13+ -7  1
Curve Equation t 47138b1 [1,1,0,6051,88285] 1
47138c (1 curve)	1	2+ 7- 13+ 37-	2+  1  2 7- -3 13+ -1  1
Curve Equation t Generators 47138c1 [1,0,1,-40,886] 1 [-10:22:1]
47138d (1 curve)	1	2+ 7- 13- 37+	2+  0  0 7- -4 13- -4  5
Curve Equation t Generators 47138d1 [1,-1,0,-14315212,20850751032] 1 [130479042:805710663:54872]
47138e (4 curves)	1	2+ 7- 13- 37+	2+  0 -2 7-  0 13- -6 -4
Curve Equation t Generators 47138e1 [1,-1,0,2392,-42176] 2 [4107:50744:27] 47138e2 [1,-1,0,-13288,-384000] 4 [-47:391:1] 47138e3 [1,-1,0,-85808,9406200] 2 [-103:4192:1] 47138e4 [1,-1,0,-191648,-32239096] 2 [18777:-361906:27]
47138f (1 curve)	0	2+ 7- 13- 37-	2+ -1 -2 7- -3 13-  1 -1
Curve Equation t 47138f1 [1,1,0,-1936,-305920] 1
47138g (1 curve)	0	2- 7+ 13+ 37+	2-  0  3 7+ -4 13+  4 -2
Curve Equation t 47138g1 [1,-1,1,-63391,-7017657] 1
47138h (1 curve)	1	2- 7+ 13+ 37-	2-  0  0 7+  0 13+ -8  5
Curve Equation t Generators 47138h1 [1,-1,1,-524040,-291023029] 1 [10686:293015:8]
47138i (1 curve)	1	2- 7+ 13- 37+	2-  2 -2 7+  1 13- -3  7
Curve Equation t Generators 47138i1 [1,1,1,21216,-7791295] 1 [309:5173:1]
47138j (2 curves)	2	2- 7+ 13- 37-	2- -2 -3 7+  0 13- -6 -4
Curve Equation t Generators 47138j1 [1,0,0,-442,4836] 3 [-24:54:1]&[-20:86:1] 47138j2 [1,0,0,3478,-60236] 1 [18:82:1]&[148:-1998:1]
47138k (1 curve)	1	2- 7- 13+ 37+	2- -2  2 7-  1 13+  3 -7
Curve Equation t Generators 47138k1 [1,0,0,433,22777] 1 [-2:149:1]
47138l (4 curves)	0	2- 7- 13+ 37-	2-  0  2 7-  4 13+  2 -4
Curve Equation t 47138l1 [1,-1,1,-88234,-10533799] 4 47138l2 [1,-1,1,-1429854,-657731287] 4 47138l3 [1,-1,1,-1447984,-640181447] 2 47138l4 [1,-1,1,-22877644,-42112019799] 2
47138m (2 curves)	0	2- 7- 13+ 37-	2-  0 -2 7-  6 13+ -2  0
Curve Equation t 47138m1 [1,-1,1,-426,3161] 2 47138m2 [1,-1,1,554,14921] 2
47138n (2 curves)	0	2- 7- 13+ 37-	2-  2  3 7-  0 13+  6  4
Curve Equation t 47138n1 [1,1,1,-21659,-1680407] 1 47138n2 [1,1,1,170421,20831369] 1
47138o (1 curve)	2	2- 7- 13- 37+	2-  0 -3 7- -4 13- -4  2
Curve Equation t Generators 47138o1 [1,-1,1,-1294,20829] 1 [39:149:1]&[-66:1435:8]
47138p (1 curve)	1	2- 7- 13- 37-	2-  0  0 7-  0 13-  8 -5
Curve Equation t Generators 47138p1 [1,-1,1,-10695,851519] 1 [-17:1022:1]

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