Cremona's table of elliptic curves

21730 = 2 · 5 · 41 · 53

Class	r	Atkin-Lehner	Eigenvalues
21730a (4 curves)	0	2+ 5+ 41- 53+	2+  0 5+  0 -4  2  6  4
Curve Equation t 21730a1 [1,-1,0,-11120,189696] 2 21730a2 [1,-1,0,-93040,-10771200] 4 21730a3 [1,-1,0,-13040,-28739200] 2 21730a4 [1,-1,0,-1483760,-695283584] 2
21730b (1 curve)	0	2+ 5+ 41- 53+	2+  1 5+ -2  5 -5 -3 -2
Curve Equation t 21730b1 [1,0,1,-20324,-1116878] 1
21730c (1 curve)	0	2+ 5+ 41- 53+	2+  3 5+  2 -5  3  1 -6
Curve Equation t 21730c1 [1,-1,0,35,5] 1
21730d (2 curves)	1	2- 5+ 41- 53+	2-  1 5+ -4  3  5 -3  2
Curve Equation t Generators 21730d1 [1,0,0,-1661,27185] 3 [-16:231:1] 21730d2 [1,0,0,8999,49981] 1 [286710:3891607:3375]
21730e (2 curves)	1	2- 5+ 41- 53+	2-  2 5+  2 -6  2 -2  2
Curve Equation t Generators 21730e1 [1,1,1,-1866,15959] 2 [81:595:1] 21730e2 [1,1,1,6134,124759] 2 [73:947:1]
21730f (1 curve)	1	2- 5- 41+ 53+	2-  1 5- -4  2 -1  7 -5
Curve Equation t Generators 21730f1 [1,0,0,-565,-7775] 1 [90:775:1]
21730g (1 curve)	1	2- 5- 41- 53-	2- -1 5-  2 -3  1 -5  2
Curve Equation t Generators 21730g1 [1,1,1,-5995,237657] 1 [147:-1674:1]
21730h (2 curves)	1	2- 5- 41- 53-	2-  2 5- -4  6 -2 -2 -4
Curve Equation t Generators 21730h1 [1,1,1,-225,-1393] 2 [171465:1089284:3375] 21730h2 [1,1,1,-205,-1625] 2 [5421:74126:27]

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