Cremona's table of elliptic curves

21700 = 2² · 5² · 7 · 31

Class	r	Atkin-Lehner	Eigenvalues
21700a (1 curve)	1	2- 5+ 7+ 31-	2-  0 5+ 7+ -4 -1 -3 -1
Curve Equation t Generators 21700a1 [0,0,0,25,30] 1 [-1:2:1]
21700b (2 curves)	1	2- 5+ 7+ 31-	2- -1 5+ 7+ -3  1  3  2
Curve Equation t Generators 21700b1 [0,-1,0,-7133,662137] 1 [-88:775:1] 21700b2 [0,-1,0,62867,-15857863] 1 [187:1550:1]
21700c (1 curve)	1	2- 5+ 7- 31+	2-  0 5+ 7-  5 -2  6 -6
Curve Equation t Generators 21700c1 [0,0,0,-185,-1115] 1 [76:651:1]
21700d (1 curve)	0	2- 5+ 7- 31-	2-  0 5+ 7-  1  6 -2 -6
Curve Equation t 21700d1 [0,0,0,-327725,-72212555] 1
21700e (1 curve)	1	2- 5- 7+ 31+	2-  0 5- 7+  5  2 -6 -6
Curve Equation t Generators 21700e1 [0,0,0,-4625,-139375] 1 [101:651:1]
21700f (1 curve)	0	2- 5- 7+ 31-	2-  0 5- 7+  1 -6  2 -6
Curve Equation t 21700f1 [0,0,0,-8193125,-9026569375] 1
21700g (1 curve)	0	2- 5- 7+ 31-	2-  1 5- 7+  4  2 -3  7
Curve Equation t 21700g1 [0,1,0,1147,7223] 1
21700h (1 curve)	1	2- 5- 7- 31-	2-  0 5- 7- -4  1  3 -1
Curve Equation t Generators 21700h1 [0,0,0,625,3750] 1 [50:400:1]
21700i (1 curve)	1	2- 5- 7- 31-	2- -1 5- 7-  4 -2  3  7
Curve Equation t Generators 21700i1 [0,-1,0,28667,845537] 1 [67:1750:1]

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