Cremona's table of elliptic curves

52725 = 3 · 5² · 19 · 37

Class	r	Atkin-Lehner	Eigenvalues
52725a (2 curves)	2	3+ 5+ 19- 37+	0 3+ 5+ -2 -3 -2 -3 19-
Curve Equation t Generators 52725a1 [0,-1,1,-4283,922343] 1 [97:1187:1]&[-43:1012:1] 52725a2 [0,-1,1,38467,-24578032] 1 [248:391:1]&[412:-7813:1]
52725b (2 curves)	0	3+ 5+ 19- 37+	0 3+ 5+  4 -3  4 -3 19-
Curve Equation t 52725b1 [0,-1,1,2367,-19582] 1 52725b2 [0,-1,1,-42633,-3456457] 1
52725c (2 curves)	1	3+ 5+ 19- 37-	-1 3+ 5+ -2  4 -2 -6 19-
Curve Equation t Generators 52725c1 [1,1,1,-73688,-8168344] 2 [1295:44852:1] 52725c2 [1,1,1,-1197563,-504921094] 2 [4182850:93538453:2744]
52725d (1 curve)	1	3+ 5+ 19- 37-	2 3+ 5+  2 -1 -2  5 19-
Curve Equation t Generators 52725d1 [0,-1,1,-6158,188093] 1 [346:221:8]
52725e (1 curve)	1	3+ 5+ 19- 37-	2 3+ 5+ -4 -3 -4  7 19-
Curve Equation t Generators 52725e1 [0,-1,1,-1158,-183157] 1 [1146:12821:8]
52725f (2 curves)	0	3+ 5- 19+ 37+	2 3+ 5-  2 -3 -4 -3 19+
Curve Equation t 52725f1 [0,-1,1,-128708,-17834557] 1 52725f2 [0,-1,1,892542,496091693] 1
52725g (1 curve)	1	3+ 5- 19+ 37-	0 3+ 5- -2  0 -3  2 19+
Curve Equation t Generators 52725g1 [0,-1,1,37,53] 1 [1:9:1]
52725h (2 curves)	1	3+ 5- 19+ 37-	-1 3+ 5-  0  4 -2  0 19+
Curve Equation t Generators 52725h1 [1,1,1,13237,201656] 2 [102:4829:8] 52725h2 [1,1,1,-56138,1589156] 2 [4102:81061:8]
52725i (1 curve)	1	3+ 5- 19+ 37-	-1 3+ 5-  1 -1  1 -4 19+
Curve Equation t Generators 52725i1 [1,1,1,37,56] 1 [0:7:1]
52725j (1 curve)	1	3+ 5- 19+ 37-	-1 3+ 5- -4  5 -4  0 19+
Curve Equation t Generators 52725j1 [1,1,1,37487,156656] 1 [135:2707:1]
52725k (1 curve)	1	3+ 5- 19+ 37-	-1 3+ 5-  5 -1 -7  0 19+
Curve Equation t Generators 52725k1 [1,1,1,-2229263,-1282050844] 1 [27370680:1946875691:4913]
52725l (1 curve)	1	3+ 5- 19- 37+	0 3+ 5-  2  4  3 -6 19-
Curve Equation t Generators 52725l1 [0,-1,1,-52863833,-147927253057] 1 [406917936729:70927384765394:12649337]
52725m (1 curve)	0	3- 5+ 19+ 37+	1 3- 5+ -1 -1 -1  4 19+
Curve Equation t 52725m1 [1,0,1,924,5173] 1
52725n (1 curve)	0	3- 5+ 19+ 37+	1 3- 5+  4  5  4  0 19+
Curve Equation t 52725n1 [1,0,1,1499,1253] 1
52725o (1 curve)	0	3- 5+ 19+ 37+	1 3- 5+ -5 -1  7  0 19+
Curve Equation t 52725o1 [1,0,1,-89171,-10256407] 1
52725p (1 curve)	0	3- 5+ 19+ 37+	-2 3- 5+  4  5  4  3 19+
Curve Equation t 52725p1 [0,1,1,-1908,-42406] 1
52725q (4 curves)	1	3- 5+ 19- 37+	1 3- 5+ -4  4  2  6 19-
Curve Equation t Generators 52725q1 [1,0,1,-5501,-157477] 2 [21257071:-2696992929:1331] 52725q2 [1,0,1,-5626,-149977] 4 [114477:29096:1331] 52725q3 [1,0,1,6249,-696227] 2 [217:3191:1] 52725q4 [1,0,1,-19501,876773] 2 [3348:-281:64]
52725r (1 curve)	1	3- 5+ 19- 37+	-2 3- 5+  2 -5  2  3 19-
Curve Equation t Generators 52725r1 [0,1,1,-1287258,-634081606] 1 [1488:27337:1]
52725s (1 curve)	1	3- 5- 19+ 37+	0 3- 5-  2  0  3 -2 19+
Curve Equation t Generators 52725s1 [0,1,1,917,8494] 1 [22:199:1]
52725t (2 curves)	1	3- 5- 19+ 37+	1 3- 5-  0  4  2  0 19+
Curve Equation t Generators 52725t1 [1,0,1,529,1613] 2 [2228:14859:64] 52725t2 [1,0,1,-2246,12713] 2 [4215772:10883121:85184]
52725u (2 curves)	0	3- 5- 19+ 37-	-2 3- 5- -2 -3  4  3 19+
Curve Equation t 52725u1 [0,1,1,-5148,-144736] 1 52725u2 [0,1,1,35702,3983014] 5
52725v (1 curve)	1	3- 5- 19- 37-	0 3- 5- -2  4 -3  6 19-
Curve Equation t Generators 52725v1 [0,1,1,-2114553,-1184263846] 1 [3858:-219308:1]

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