Cremona's table of elliptic curves

42140 = 2² · 5 · 7² · 43

Class	r	Atkin-Lehner	Eigenvalues
42140a (1 curve)	1	2- 5+ 7- 43+	2- -2 5+ 7-  5  5 -5 -8
Curve Equation t Generators 42140a1 [0,1,0,-261,60535] 1 [2:245:1]
42140b (2 curves)	0	2- 5+ 7- 43-	2-  0 5+ 7-  4 -6  6  4
Curve Equation t 42140b1 [0,0,0,-5488,-151263] 2 42140b2 [0,0,0,-14063,436982] 2
42140c (1 curve)	2	2- 5- 7- 43+	2- -1 5- 7- -5 -1 -7  0
Curve Equation t Generators 42140c1 [0,-1,0,-30445,2656025] 1 [-205:490:1]&[-128:2107:1]
42140d (2 curves)	1	2- 5- 7- 43-	2-  0 5- 7-  4  6 -6 -4
Curve Equation t Generators 42140d1 [0,0,0,-112,441] 2 [0:21:1] 42140d2 [0,0,0,-287,-1274] 2 [-5:6:1]
42140e (2 curves)	1	2- 5- 7- 43-	2- -1 5- 7-  3 -5 -3 -8
Curve Equation t Generators 42140e1 [0,-1,0,134195,-160205863] 1 [2392:117649:1] 42140e2 [0,-1,0,-1210365,4377415225] 1 [21600:3171035:1]

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

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