Cremona's table of elliptic curves

47200 = 2⁵ · 5² · 59

Class	r	Atkin-Lehner	Eigenvalues
47200a (1 curve)	1	2+ 5+ 59+	2+  0 5+ -1 -3  1 -5  6
Curve Equation t Generators 47200a1 [0,0,0,-20675,1144250] 1 [70:200:1]
47200b (1 curve)	1	2+ 5+ 59+	2+  0 5+ -4  3 -5  1 -6
Curve Equation t Generators 47200b1 [0,0,0,-35,-90] 1 [9:18:1]
47200c (1 curve)	1	2+ 5+ 59+	2+  1 5+  5  0  4  6 -1
Curve Equation t Generators 47200c1 [0,1,0,-58,388] 1 [9:26:1]
47200d (1 curve)	1	2+ 5+ 59+	2+ -2 5+ -1  3 -5  5  8
Curve Equation t Generators 47200d1 [0,1,0,-408,26188] 1 [43:300:1]
47200e (2 curves)	1	2+ 5+ 59+	2+ -2 5+  2 -4 -4 -6  0
Curve Equation t Generators 47200e1 [0,1,0,-658,1188] 2 [-2:50:1] 47200e2 [0,1,0,-8033,274063] 2 [3:500:1]
47200f (1 curve)	1	2+ 5+ 59+	2+ -3 5+ -3  0  0 -2  3
Curve Equation t Generators 47200f1 [0,0,0,-12925,-566000] 1 [384:7148:1]
47200g (1 curve)	0	2+ 5+ 59-	2+  0 5+  1  3  1 -5 -6
Curve Equation t 47200g1 [0,0,0,-20675,-1144250] 1
47200h (1 curve)	0	2+ 5+ 59-	2+  0 5+  4 -3 -5  1  6
Curve Equation t 47200h1 [0,0,0,-35,90] 1
47200i (1 curve)	0	2+ 5+ 59-	2+  1 5+ -2  1 -6  7 -5
Curve Equation t 47200i1 [0,1,0,-10848,-1203172] 1
47200j (1 curve)	0	2+ 5+ 59-	2+ -1 5+ -5  0  4  6  1
Curve Equation t 47200j1 [0,-1,0,-58,-388] 1
47200k (1 curve)	0	2+ 5+ 59-	2+  2 5+  1 -3 -5  5 -8
Curve Equation t 47200k1 [0,-1,0,-408,-26188] 1
47200l (2 curves)	0	2+ 5+ 59-	2+  2 5+ -2  4 -4 -6  0
Curve Equation t 47200l1 [0,-1,0,-658,-1188] 2 47200l2 [0,-1,0,-8033,-274063] 2
47200m (1 curve)	0	2+ 5+ 59-	2+  3 5+  3  0  0 -2 -3
Curve Equation t 47200m1 [0,0,0,-12925,566000] 1
47200n (1 curve)	0	2+ 5- 59+	2+  1 5- -2 -1  6 -7  5
Curve Equation t 47200n1 [0,1,0,-271208,149854088] 1
47200o (1 curve)	0	2+ 5- 59+	2+  2 5- -3  5  5 -2 -2
Curve Equation t 47200o1 [0,-1,0,-8,212] 1
47200p (1 curve)	0	2+ 5- 59+	2+ -2 5- -1 -4 -2  3  0
Curve Equation t 47200p1 [0,1,0,-1208,16588] 1
47200q (1 curve)	1	2+ 5- 59-	2+  2 5-  1  4 -2  3  0
Curve Equation t Generators 47200q1 [0,-1,0,-1208,-16588] 1 [5389356:129660362:9261]
47200r (1 curve)	1	2+ 5- 59-	2+ -2 5-  3 -5  5 -2  2
Curve Equation t Generators 47200r1 [0,1,0,-8,-212] 1 [79:706:1]
47200s (1 curve)	0	2- 5+ 59+	2- -1 5+  2 -1 -6  7  5
Curve Equation t 47200s1 [0,-1,0,-10848,1203172] 1
47200t (1 curve)	0	2- 5+ 59+	2-  2 5+  1 -4  2 -3  0
Curve Equation t 47200t1 [0,-1,0,-48,152] 1
47200u (1 curve)	0	2- 5+ 59+	2- -2 5+  3  5 -5  2 -2
Curve Equation t 47200u1 [0,1,0,-208,26088] 1
47200v (1 curve)	1	2- 5+ 59-	2-  2 5+ -3 -5 -5  2  2
Curve Equation t Generators 47200v1 [0,-1,0,-208,-26088] 1 [400752183:5565962484:2048383]
47200w (1 curve)	1	2- 5+ 59-	2- -2 5+ -1  4  2 -3  0
Curve Equation t Generators 47200w1 [0,1,0,-48,-152] 1 [14:46:1]
47200x (1 curve)	1	2- 5- 59+	2-  0 5-  4  3  5 -1 -6
Curve Equation t Generators 47200x1 [0,0,0,-875,-11250] 1 [94653:386946:2197]
47200y (1 curve)	0	2- 5- 59-	2-  0 5- -4 -3  5 -1  6
Curve Equation t 47200y1 [0,0,0,-875,11250] 1
47200z (1 curve)	0	2- 5- 59-	2- -1 5-  2  1  6 -7 -5
Curve Equation t 47200z1 [0,-1,0,-271208,-149854088] 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