Cremona's table of elliptic curves

74725 = 5² · 7² · 61

Class	r	Atkin-Lehner	Eigenvalues
74725a (1 curve)	2	5+ 7- 61+	0  1 5+ 7- -1  1 -3 -8
Curve Equation t Generators 74725a1 [0,1,1,467,14844] 1 [-18:30:1]&[-12:87:1]
74725b (3 curves)	0	5+ 7- 61+	0 -2 5+ 7-  0 -4  3 -2
Curve Equation t 74725b1 [0,1,1,-5991883,-5647376731] 1 74725b2 [0,1,1,-5857133,-5913342606] 1 74725b3 [0,1,1,35988867,5079078519] 1
74725c (1 curve)	0	5+ 7- 61+	1  1 5+ 7- -1 -2  7  1
Curve Equation t 74725c1 [1,0,1,-30651,2051823] 1
74725d (2 curves)	0	5+ 7- 61+	1 -2 5+ 7-  2 -2 -2  4
Curve Equation t 74725d1 [1,0,1,-4844901,-4104809677] 2 74725d2 [1,0,1,-4544776,-4635430677] 2
74725e (1 curve)	2	5+ 7- 61+	-1  1 5+ 7- -3 -4  5 -1
Curve Equation t Generators 74725e1 [1,0,0,-9213,-338458] 1 [-59:54:1]&[127:674:1]
74725f (1 curve)	0	5+ 7- 61+	-1 -1 5+ 7-  5  2  3  3
Curve Equation t 74725f1 [1,1,1,-518813,54046656] 1
74725g (1 curve)	0	5+ 7- 61+	-1  2 5+ 7-  2  2 -3 -6
Curve Equation t 74725g1 [1,1,1,-638,1065406] 1
74725h (2 curves)	0	5+ 7- 61+	-1  2 5+ 7- -2 -2 -6  4
Curve Equation t 74725h1 [1,1,1,-174588,26582156] 2 74725h2 [1,1,1,125537,108816406] 2
74725i (1 curve)	0	5+ 7- 61+	2  1 5+ 7- -5  1 -7 -8
Curve Equation t 74725i1 [0,1,1,-1375756258,-20104692360231] 1
74725j (1 curve)	0	5+ 7- 61+	2 -2 5+ 7- -2  4  5 -2
Curve Equation t 74725j1 [0,1,1,-408,-3741] 1
74725k (1 curve)	1	5+ 7- 61-	0 -1 5+ 7- -1 -1  3  8
Curve Equation t Generators 74725k1 [0,-1,1,22867,-5045832] 1 [1146:8571:8]
74725l (1 curve)	1	5+ 7- 61-	0  2 5+ 7- -2  2  5  8
Curve Equation t Generators 74725l1 [0,-1,1,-1633,50168] 1 [534:4274:27]
74725m (1 curve)	1	5+ 7- 61-	1  1 5+ 7- -5  4 -5  7
Curve Equation t Generators 74725m1 [1,0,1,-34326,2426673] 1 [117:66:1]
74725n (1 curve)	1	5+ 7- 61-	1 -2 5+ 7- -5  1  4  4
Curve Equation t Generators 74725n1 [1,0,1,-2476,-50277] 1 [8455489:40410208:117649]
74725o (1 curve)	1	5+ 7- 61-	-2  1 5+ 7- -5  1  1  4
Curve Equation t Generators 74725o1 [0,1,1,-497758,-137822856] 1 [828:4287:1]
74725p (1 curve)	1	5- 7- 61+	1 -2 5- 7-  2 -2  3 -6
Curve Equation t Generators 74725p1 [1,0,1,-26,8523] 1 [11:92:1]
74725q (1 curve)	1	5- 7- 61+	-2  2 5- 7- -2 -4 -5 -2
Curve Equation t Generators 74725q1 [0,-1,1,-10208,-447182] 1 [35030:539354:125]
74725r (1 curve)	0	5- 7- 61-	0  3 5- 7-  3  3 -5 -2
Curve Equation t 74725r1 [0,0,1,43610,9593281] 1
74725s (1 curve)	0	5- 7- 61-	0 -3 5- 7-  3 -3  5 -2
Curve Equation t 74725s1 [0,0,1,1090250,1199160156] 1
74725t (2 curves)	0	5- 7- 61-	1 -2 5- 7-  0 -4 -6  4
Curve Equation t 74725t1 [1,0,1,-9826,-329577] 2 74725t2 [1,0,1,-40451,2794173] 2
74725u (2 curves)	0	5- 7- 61-	-1  2 5- 7-  0  4  6  4
Curve Equation t 74725u1 [1,1,1,-393,-2794] 2 74725u2 [1,1,1,-1618,21706] 2

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