Cremona's table of elliptic curves

49700 = 2² · 5² · 7 · 71

Class	r	Atkin-Lehner	Eigenvalues
49700a (1 curve)	0	2- 5+ 7+ 71+	2- -1 5+ 7+ -3 -3  2 -8
Curve Equation t 49700a1 [0,-1,0,-16694508,-26249232488] 1
49700b (2 curves)	0	2- 5+ 7+ 71+	2- -1 5+ 7+ -3  7 -3  2
Curve Equation t 49700b1 [0,-1,0,-3821133,2876264137] 1 49700b2 [0,-1,0,-3691133,3080924137] 1
49700c (1 curve)	0	2- 5+ 7+ 71+	2-  2 5+ 7+  3  6 -4  1
Curve Equation t 49700c1 [0,-1,0,492,-2488] 1
49700d (1 curve)	1	2- 5+ 7+ 71-	2- -1 5+ 7+ -1 -3  7  2
Curve Equation t Generators 49700d1 [0,-1,0,-41722133,104129291137] 1 [3896:26483:1]
49700e (2 curves)	1	2- 5+ 7+ 71-	2-  2 5+ 7+ -4  0  4 -4
Curve Equation t Generators 49700e1 [0,-1,0,-2633,-43738] 2 [506:1575:8] 49700e2 [0,-1,0,-11508,435512] 2 [1697:69750:1]
49700f (1 curve)	1	2- 5+ 7+ 71-	2- -2 5+ 7+  1 -2  4  5
Curve Equation t Generators 49700f1 [0,1,0,-11908,973188] 1 [128:1250:1]
49700g (1 curve)	1	2- 5+ 7- 71+	2-  2 5+ 7- -5 -2 -4  1
Curve Equation t Generators 49700g1 [0,-1,0,3921092,-5116529688] 1 [66468:553875:64]
49700h (1 curve)	0	2- 5+ 7- 71-	2-  1 5+ 7-  5  5  3  8
Curve Equation t 49700h1 [0,1,0,-2133,-56137] 1
49700i (1 curve)	0	2- 5+ 7- 71-	2- -1 5+ 7- -5  3 -2  0
Curve Equation t 49700i1 [0,-1,0,-308,-2888] 1

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

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