Cremona's table of elliptic curves

47300 = 2² · 5² · 11 · 43

Class	r	Atkin-Lehner	Eigenvalues
47300a (1 curve)	2	2- 5+ 11+ 43+	2-  0 5+ -3 11+  2 -2 -7
Curve Equation t Generators 47300a1 [0,0,0,-125,125] 1 [-11:13:1]&[-5:25:1]
47300b (1 curve)	2	2- 5+ 11+ 43+	2-  1 5+ -2 11+ -5 -5  1
Curve Equation t Generators 47300b1 [0,1,0,-533,-937] 1 [-22:25:1]&[-7:50:1]
47300c (2 curves)	0	2- 5+ 11+ 43+	2- -1 5+ -2 11+ -5  3 -1
Curve Equation t 47300c1 [0,-1,0,-277068133,1775213433137] 1 47300c2 [0,-1,0,-286568133,1646963183137] 1
47300d (2 curves)	0	2- 5+ 11+ 43+	2-  2 5+  1 11+ -2  0  5
Curve Equation t 47300d1 [0,-1,0,-4958,136037] 1 47300d2 [0,-1,0,-7458,-12463] 1
47300e (1 curve)	1	2- 5+ 11+ 43-	2-  2 5+  3 11+  2  0 -1
Curve Equation t Generators 47300e1 [0,-1,0,-38158,2795937] 1 [42:1125:1]
47300f (1 curve)	1	2- 5+ 11- 43+	2-  0 5+ -3 11-  0  4 -1
Curve Equation t Generators 47300f1 [0,0,0,-6425,196125] 1 [20:275:1]
47300g (1 curve)	1	2- 5+ 11- 43+	2-  0 5+ -4 11- -6 -3 -4
Curve Equation t Generators 47300g1 [0,0,0,40,260] 1 [4:-22:1]
47300h (1 curve)	1	2- 5+ 11- 43+	2-  1 5+  4 11-  4 -4  4
Curve Equation t Generators 47300h1 [0,1,0,-5508,163988] 1 [-519:13850:27]
47300i (2 curves)	1	2- 5+ 11- 43+	2-  2 5+  1 11-  4  6 -1
Curve Equation t Generators 47300i1 [0,-1,0,-16158,795437] 1 [71:33:1] 47300i2 [0,-1,0,-54658,-4017063] 1 [-129:933:1]
47300j (2 curves)	1	2- 5+ 11- 43+	2-  2 5+ -4 11-  2  2  8
Curve Equation t Generators 47300j1 [0,-1,0,267,-538] 2 [101:1023:1] 47300j2 [0,-1,0,-1108,-3288] 2 [42:150:1]
47300k (1 curve)	1	2- 5+ 11- 43+	2- -2 5+ -2 11- -2 -1 -2
Curve Equation t Generators 47300k1 [0,1,0,-48333,-4529537] 1 [514:10329:1]
47300l (1 curve)	1	2- 5+ 11- 43+	2-  3 5+  0 11-  0  4 -4
Curve Equation t Generators 47300l1 [0,0,0,-7662175,-8232558250] 1 [1688292261861368192384377590:-215838745435949493662136658700:100322960706414693336627]
47300m (1 curve)	0	2- 5+ 11- 43-	2-  2 5+ -3 11-  2  6 -7
Curve Equation t 47300m1 [0,-1,0,-558,5237] 1
47300n (1 curve)	0	2- 5+ 11- 43-	2- -2 5+  5 11-  2 -6  1
Curve Equation t 47300n1 [0,1,0,-166658,-26240687] 1
47300o (1 curve)	1	2- 5- 11+ 43+	2-  3 5-  2 11+  3 -5 -1
Curve Equation t Generators 47300o1 [0,0,0,-760,500] 1 [-753:53:27]
47300p (1 curve)	2	2- 5- 11+ 43-	2- -3 5- -2 11+ -3  5 -1
Curve Equation t Generators 47300p1 [0,0,0,-19000,62500] 1 [0:250:1]&[-59:989:1]
47300q (1 curve)	1	2- 5- 11- 43-	2-  0 5-  4 11-  6  3 -4
Curve Equation t Generators 47300q1 [0,0,0,1000,32500] 1 [-1404:143:64]
47300r (1 curve)	1	2- 5- 11- 43-	2-  2 5-  2 11-  2  1 -2
Curve Equation t Generators 47300r1 [0,-1,0,-1933,-35463] 1 [123:1254:1]

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