Cremona's table of elliptic curves

47974 = 2 · 17² · 83

Class	r	Atkin-Lehner	Eigenvalues
47974a (1 curve)	1	2+ 17+ 83+	2+  1  2 -1  5 -2 17+ -2
Curve Equation t Generators 47974a1 [1,0,1,-1885,32488] 1 [23:26:1]
47974b (1 curve)	1	2+ 17+ 83+	2+  1 -4  0 -3  5 17+  5
Curve Equation t Generators 47974b1 [1,0,1,-1018,-17798] 1 [430:2093:8]
47974c (2 curves)	1	2+ 17+ 83+	2+ -1  0  4  3 -7 17+  5
Curve Equation t Generators 47974c1 [1,1,0,-203895,35362549] 1 [1334:18985:8] 47974c2 [1,1,0,115450,132595732] 1 [10582:402777:8]
47974d (2 curves)	0	2+ 17+ 83-	2+  2  0  2 -2 -2 17+ -4
Curve Equation t 47974d1 [1,1,0,-3890,58292] 2 47974d2 [1,1,0,-25650,-1547596] 2
47974e (2 curves)	0	2+ 17+ 83-	2+ -2  0 -2  2 -2 17+ -4
Curve Equation t 47974e1 [1,0,1,-1124361,294258764] 2 47974e2 [1,0,1,-7413001,-7551448500] 2
47974f (1 curve)	1	2- 17+ 83-	2-  1  2 -2  5  1 17+ -1
Curve Equation t Generators 47974f1 [1,0,0,-340737,77736713] 1 [-554:10103:1]
47974g (1 curve)	1	2- 17+ 83-	2- -1 -2  2 -5  1 17+ -1
Curve Equation t Generators 47974g1 [1,1,1,-1179,15337] 1 [35:-154:1]
47974h (2 curves)	1	2- 17+ 83-	2-  2  4 -4 -2 -2 17+ -4
Curve Equation t Generators 47974h1 [1,1,1,-941,-11489] 2 [-2773710:1224143:157464] 47974h2 [1,1,1,-15051,-716989] 2 [-9619142039730:4743464198257:135005697000]
47974i (2 curves)	1	2- 17+ 83-	2- -2 -4  4  2 -2 17+ -4
Curve Equation t Generators 47974i1 [1,0,0,-271955,-54540899] 2 [-6407350950:-2125966577:21484952] 47974i2 [1,0,0,-4349745,-3492117869] 2 [-43597796741440522:21741791999834593:36205560227368]

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

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