Cremona's table of elliptic curves

51675 = 3 · 5² · 13 · 53

Class	r	Atkin-Lehner	Eigenvalues
51675a (1 curve)	0	3+ 5+ 13+ 53-	0 3+ 5+  0  5 13+  6  4
Curve Equation t 51675a1 [0,-1,1,-1743,28598] 1
51675b (2 curves)	0	3+ 5+ 13+ 53-	0 3+ 5+ -2  3 13+  6 -7
Curve Equation t 51675b1 [0,-1,1,127,653] 1 51675b2 [0,-1,1,-1223,-27562] 1
51675c (2 curves)	0	3+ 5+ 13+ 53-	0 3+ 5+  4  3 13+ -6 -7
Curve Equation t 51675c1 [0,-1,1,-333,-10807] 1 51675c2 [0,-1,1,-49083,-4169182] 1
51675d (4 curves)	0	3+ 5+ 13+ 53-	-1 3+ 5+ -4 -4 13+  2 -4
Curve Equation t 51675d1 [1,1,1,-22088,-1532344] 4 51675d2 [1,1,1,-373213,-87909094] 4 51675d3 [1,1,1,-393088,-78051094] 2 51675d4 [1,1,1,-5971338,-5618856594] 2
51675e (1 curve)	0	3+ 5+ 13+ 53-	2 3+ 5+  5 -1 13+  5 -4
Curve Equation t 51675e1 [0,-1,1,-53958,3382193] 1
51675f (1 curve)	2	3+ 5+ 13+ 53-	-2 3+ 5+ -3 -5 13+  1 -4
Curve Equation t Generators 51675f1 [0,-1,1,-848,-8512] 1 [-19:19:1]&[-17:26:1]
51675g (2 curves)	0	3+ 5+ 13- 53+	1 3+ 5+  0 -2 13-  6  6
Curve Equation t 51675g1 [1,1,0,-67625,-6825000] 2 51675g2 [1,1,0,-1083250,-434403125] 2
51675h (1 curve)	0	3+ 5+ 13- 53+	1 3+ 5+  2  4 13-  0 -3
Curve Equation t 51675h1 [1,1,0,-158775,-24417540] 1
51675i (1 curve)	0	3+ 5+ 13- 53+	2 3+ 5+ -2 -3 13-  0  7
Curve Equation t 51675i1 [0,-1,1,-4108,102993] 1
51675j (1 curve)	2	3+ 5+ 13- 53+	-2 3+ 5+ -3  1 13-  3  0
Curve Equation t Generators 51675j1 [0,-1,1,-278,1868] 1 [-7:58:1]&[6:19:1]
51675k (1 curve)	1	3+ 5+ 13- 53-	2 3+ 5+  1  3 13-  1 -2
Curve Equation t Generators 51675k1 [0,-1,1,-228,1253] 1 [-102:347:8]
51675l (1 curve)	0	3+ 5- 13+ 53+	1 3+ 5- -2 -4 13+  4  1
Curve Equation t 51675l1 [1,1,0,25400,-98225] 1
51675m (1 curve)	0	3+ 5- 13+ 53+	-1 3+ 5- -2  4 13+  0 -3
Curve Equation t 51675m1 [1,1,1,-18638,3955406] 1
51675n (1 curve)	1	3+ 5- 13+ 53-	0 3+ 5- -1  3 13+ -1 -2
Curve Equation t Generators 51675n1 [0,-1,1,-2083,37293] 1 [37:97:1]
51675o (1 curve)	1	3+ 5- 13- 53+	0 3+ 5-  1 -1 13-  1 -4
Curve Equation t Generators 51675o1 [0,-1,1,-2477248833,-47057996836807] 1 [22949031:3193812616:343]
51675p (1 curve)	1	3- 5+ 13+ 53-	0 3- 5+ -1 -1 13+ -1 -4
Curve Equation t Generators 51675p1 [0,1,1,-99089953,-376503610676] 1 [-6046:40306:1]
51675q (1 curve)	1	3- 5+ 13- 53+	0 3- 5+  1  3 13-  1 -2
Curve Equation t Generators 51675q1 [0,1,1,-52083,4557494] 1 [144:253:1]
51675r (1 curve)	1	3- 5+ 13- 53+	-2 3- 5+  2  0 13- -3  2
Curve Equation t Generators 51675r1 [0,1,1,-1008,-12856] 1 [68:487:1]
51675s (1 curve)	0	3- 5+ 13- 53-	1 3- 5+  2  4 13-  0 -3
Curve Equation t 51675s1 [1,0,1,-746,31643] 1
51675t (2 curves)	0	3- 5+ 13- 53-	1 3- 5+  2  4 13-  6  6
Curve Equation t 51675t1 [1,0,1,-22651,-1309927] 2 51675t2 [1,0,1,-12526,-2484427] 2
51675u (2 curves)	0	3- 5+ 13- 53-	1 3- 5+ -4  2 13-  2  6
Curve Equation t 51675u1 [1,0,1,3999,-198977] 2 51675u2 [1,0,1,-36626,-2311477] 2
51675v (1 curve)	0	3- 5+ 13- 53-	-1 3- 5+  2 -4 13- -4  1
Curve Equation t 51675v1 [1,0,0,634987,-13548108] 1
51675w (1 curve)	0	3- 5+ 13- 53-	2 3- 5+  2  5 13- -4  1
Curve Equation t 51675w1 [0,1,1,-86658,-65550031] 1
51675x (1 curve)	0	3- 5+ 13- 53-	-2 3- 5+  2 -1 13- -4  3
Curve Equation t 51675x1 [0,1,1,-1704008,980983394] 1
51675y (1 curve)	1	3- 5- 13+ 53+	-2 3- 5- -1  3 13+ -1 -2
Curve Equation t Generators 51675y1 [0,1,1,-5708,145244] 1 [-17:487:1]
51675z (1 curve)	0	3- 5- 13+ 53-	-1 3- 5- -2  4 13+  0 -3
Curve Equation t 51675z1 [1,0,0,-3969388,-3044253733] 1
51675ba (1 curve)	0	3- 5- 13+ 53-	2 3- 5-  3  1 13+ -3  0
Curve Equation t 51675ba1 [0,1,1,-6958,219619] 1
51675bb (1 curve)	0	3- 5- 13- 53+	0 3- 5-  0  5 13- -6  4
Curve Equation t 51675bb1 [0,1,1,-43583,3487619] 1
51675bc (2 curves)	0	3- 5- 13- 53+	0 3- 5-  2  3 13- -6 -7
Curve Equation t 51675bc1 [0,1,1,3167,87994] 3 51675bc2 [0,1,1,-30583,-3506381] 1
51675bd (1 curve)	0	3- 5- 13- 53+	2 3- 5-  3 -5 13- -1 -4
Curve Equation t 51675bd1 [0,1,1,-21208,-1106381] 1
51675be (1 curve)	2	3- 5- 13- 53+	-2 3- 5- -5 -1 13- -5 -4
Curve Equation t Generators 51675be1 [0,1,1,-2158,26194] 1 [47:-176:1]&[-326:1751:8]

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