Cremona's table of elliptic curves

50008 = 2³ · 7 · 19 · 47

Class	r	Atkin-Lehner	Eigenvalues
50008a (1 curve)	0	2+ 7+ 19+ 47-	2+  1 -1 7+  4 -4  4 19+
Curve Equation t 50008a1 [0,1,0,209,5158] 1
50008b (2 curves)	0	2+ 7+ 19+ 47-	2+ -2  2 7+ -2  2 -2 19+
Curve Equation t 50008b1 [0,1,0,-1072,-9360] 2 50008b2 [0,1,0,-15512,-748688] 2
50008c (1 curve)	0	2+ 7+ 19- 47+	2+  1  1 7+ -2  4 -6 19-
Curve Equation t 50008c1 [0,1,0,-35,-94] 1
50008d (1 curve)	1	2- 7+ 19- 47+	2- -3 -3 7+ -4  4  0 19-
Curve Equation t Generators 50008d1 [0,0,0,-34,-299] 1 [10:19:1]
50008e (2 curves)	0	2- 7+ 19- 47-	2-  2  2 7+  0 -2 -2 19-
Curve Equation t 50008e1 [0,-1,0,-242247,45976760] 2 50008e2 [0,-1,0,-3876052,2938485540] 2
50008f (4 curves)	0	2- 7- 19- 47+	2-  0  2 7-  0  2 -6 19-
Curve Equation t 50008f1 [0,0,0,-314,-2123] 2 50008f2 [0,0,0,-559,1650] 4 50008f3 [0,0,0,2101,12822] 2 50008f4 [0,0,0,-7139,231950] 2
50008g (1 curve)	2	2- 7- 19- 47+	2- -1 -1 7- -2  0 -2 19-
Curve Equation t Generators 50008g1 [0,-1,0,-94316,22437604] 1 [102:3724:1]&[-192:5782:1]
50008h (1 curve)	2	2- 7- 19- 47+	2- -3 -1 7-  2 -4 -6 19-
Curve Equation t Generators 50008h1 [0,0,0,-103,586] 1 [5:-14:1]&[-2:28:1]
50008i (2 curves)	1	2- 7- 19- 47-	2-  2 -2 7-  0  2  6 19-
Curve Equation t Generators 50008i1 [0,-1,0,-84,164] 2 [20:78:1] 50008i2 [0,-1,0,296,924] 2 [426:2600:27]

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

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