Cremona's table of elliptic curves

47840 = 2⁵ · 5 · 13 · 23

Class	r	Atkin-Lehner	Eigenvalues
47840a (1 curve)	0	2+ 5+ 13+ 23-	2+  1 5+  3  0 13+  7 -4
Curve Equation t 47840a1 [0,1,0,-903841,-331041041] 1
47840b (4 curves)	0	2+ 5+ 13- 23+	2+  0 5+  4  0 13- -2 -8
Curve Equation t 47840b1 [0,0,0,-133,132] 4 47840b2 [0,0,0,517,1042] 2 47840b3 [0,0,0,-1283,-17578] 2 47840b4 [0,0,0,-1628,25248] 2
47840c (1 curve)	1	2+ 5- 13- 23+	2+ -1 5- -5  4 13-  3  8
Curve Equation t Generators 47840c1 [0,-1,0,-65,-143] 1 [-3:4:1]
47840d (1 curve)	0	2- 5+ 13+ 23+	2- -1 5+ -3  0 13+  7  4
Curve Equation t 47840d1 [0,-1,0,-903841,331041041] 1
47840e (4 curves)	0	2- 5+ 13- 23-	2-  0 5+ -4  0 13- -2  8
Curve Equation t 47840e1 [0,0,0,-133,-132] 4 47840e2 [0,0,0,517,-1042] 2 47840e3 [0,0,0,-1283,17578] 2 47840e4 [0,0,0,-1628,-25248] 2
47840f (1 curve)	1	2- 5- 13+ 23+	2-  1 5-  1  2 13+ -1  0
Curve Equation t Generators 47840f1 [0,1,0,-625,5023] 1 [-9:100:1]
47840g (1 curve)	2	2- 5- 13+ 23-	2- -1 5- -1 -2 13+ -1  0
Curve Equation t Generators 47840g1 [0,-1,0,-625,-5023] 1 [-11:-20:1]&[-16:25:1]
47840h (1 curve)	1	2- 5- 13- 23-	2-  1 5-  5 -4 13-  3 -8
Curve Equation t Generators 47840h1 [0,1,0,-65,143] 1 [2:5:1]

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