Cremona's table of elliptic curves

47888 = 2⁴ · 41 · 73

Class	r	Atkin-Lehner	Eigenvalues
47888a (1 curve)	1	2+ 41+ 73+	2+  0 -2 -1 -3  5 -2 -4
Curve Equation t Generators 47888a1 [0,0,0,-9851,376329] 1 [56:17:1]
47888b (2 curves)	0	2+ 41+ 73-	2+  0  2  2 -6  4 -4  4
Curve Equation t 47888b1 [0,0,0,-79,-18] 2 47888b2 [0,0,0,-899,-10350] 2
47888c (2 curves)	2	2+ 41+ 73-	2+ -2 -2  0  2 -4 -6 -2
Curve Equation t Generators 47888c1 [0,1,0,-14224,646116] 2 [8:730:1]&[58:140:1] 47888c2 [0,1,0,-227384,41658100] 2 [-166:8652:1]&[154:3212:1]
47888d (2 curves)	2	2+ 41+ 73-	2+ -2 -4  0  0 -2 -2 -6
Curve Equation t Generators 47888d1 [0,1,0,-1000,11844] 2 [19:-8:1]&[-18:156:1] 47888d2 [0,1,0,-1040,10804] 2 [4:82:1]&[12:14:1]
47888e (1 curve)	1	2+ 41- 73-	2+  0  0  1  3 -5  6  0
Curve Equation t Generators 47888e1 [0,0,0,-35,-79] 1 [-96:19:27]
47888f (1 curve)	1	2+ 41- 73-	2+ -2  2 -3 -5 -1  6 -2
Curve Equation t Generators 47888f1 [0,1,0,-12,-17] 1 [-3:1:1]
47888g (1 curve)	0	2- 41+ 73+	2-  0  2  3 -3 -1  2  0
Curve Equation t 47888g1 [0,0,0,-89,323] 1
47888h (2 curves)	1	2- 41+ 73-	2-  2  0  0 -4 -2  2  6
Curve Equation t Generators 47888h1 [0,-1,0,-1168,14784] 2 [2235:18676:27] 47888h2 [0,-1,0,-3728,-69184] 2 [322:5658:1]
47888i (4 curves)	0	2- 41- 73-	2-  0  2  0  4  2  6  0
Curve Equation t 47888i1 [0,0,0,-1019,-12502] 2 47888i2 [0,0,0,-1339,-3990] 4 47888i3 [0,0,0,5221,-31542] 2 47888i4 [0,0,0,-13019,568330] 2
47888j (1 curve)	0	2- 41- 73-	2- -1  0  0  4  1  7 -3
Curve Equation t 47888j1 [0,-1,0,72,-656] 1
47888k (1 curve)	0	2- 41- 73-	2-  3 -4  4 -4  3 -7  1
Curve Equation t 47888k1 [0,0,0,-67,-6910] 1

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

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