Cremona's table of elliptic curves

52675 = 5² · 7² · 43

Class	r	Atkin-Lehner	Eigenvalues
52675a (1 curve)	1	5+ 7+ 43+	-1 -1 5+ 7+  0  3  2 -4
Curve Equation t Generators 52675a1 [1,1,1,-245638,46696656] 1 [-214:9568:1]
52675b (2 curves)	0	5+ 7- 43+	0 -2 5+ 7-  3 -1 -3  4
Curve Equation t 52675b1 [0,1,1,-111883,-24975856] 1 52675b2 [0,1,1,941617,461477769] 1
52675c (1 curve)	0	5+ 7- 43+	-1  1 5+ 7-  0 -3 -2  4
Curve Equation t 52675c1 [1,0,0,-5013,-136858] 1
52675d (1 curve)	1	5+ 7- 43-	0  0 5+ 7- -1 -1 -3  2
Curve Equation t Generators 52675d1 [0,0,1,-9800,503781] 1 [-105:612:1]
52675e (1 curve)	1	5+ 7- 43-	0  1 5+ 7-  5 -1  5 -4
Curve Equation t Generators 52675e1 [0,1,1,-83883,9323269] 1 [163:-88:1]
52675f (1 curve)	1	5+ 7- 43-	0 -1 5+ 7-  5  1 -5  4
Curve Equation t Generators 52675f1 [0,-1,1,-4110283,-3206101907] 1 [246797:122601062:1]
52675g (1 curve)	1	5+ 7- 43-	0 -2 5+ 7-  1 -5 -7  0
Curve Equation t Generators 52675g1 [0,1,1,-163,914] 1 [2:24:1]
52675h (1 curve)	1	5+ 7- 43-	-1 -2 5+ 7-  3 -1  2  0
Curve Equation t Generators 52675h1 [1,0,0,-148,867] 1 [11:19:1]
52675i (1 curve)	1	5+ 7- 43-	2  1 5+ 7- -3 -1  5  0
Curve Equation t Generators 52675i1 [0,1,1,-408,3673219] 1 [-9308:52643:64]
52675j (1 curve)	1	5+ 7- 43-	2  2 5+ 7-  4  2 -3 -6
Curve Equation t Generators 52675j1 [0,-1,1,82,433] 1 [91884:673523:1728]
52675k (1 curve)	1	5+ 7- 43-	2 -2 5+ 7-  3 -5 -3  2
Curve Equation t Generators 52675k1 [0,1,1,-408,-14031] 1 [7278:23167:216]
52675l (1 curve)	1	5- 7+ 43-	1  1 5- 7+  0 -3 -2 -4
Curve Equation t Generators 52675l1 [1,0,1,-9826,373573] 1 [53:22:1]
52675m (1 curve)	1	5- 7- 43+	0  2 5- 7-  1  5  7  0
Curve Equation t Generators 52675m1 [0,-1,1,-4083,122443] 1 [586:3671:8]
52675n (2 curves)	1	5- 7- 43+	1  0 5- 7-  0 -6  6  4
Curve Equation t Generators 52675n1 [1,-1,0,-352,8931] 2 [422:2729:8] 52675n2 [1,-1,0,-8927,326206] 2 [-26:748:1]
52675o (1 curve)	1	5- 7- 43+	1  2 5- 7-  3  1 -2  0
Curve Equation t Generators 52675o1 [1,1,0,-3700,108375] 1 [6:291:1]
52675p (1 curve)	1	5- 7- 43+	-2 -2 5- 7-  4 -2  3 -6
Curve Equation t Generators 52675p1 [0,1,1,2042,58244] 1 [58:612:1]
52675q (1 curve)	0	5- 7- 43-	1 -1 5- 7-  0  3  2  4
Curve Equation t 52675q1 [1,1,0,-200,-1175] 1
52675r (2 curves)	0	5- 7- 43-	-1  0 5- 7-  0  6 -6  4
Curve Equation t 52675r1 [1,-1,1,-8805,1107572] 2 52675r2 [1,-1,1,-223180,40552572] 2

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations