Cremona's table of elliptic curves

1974 = 2 · 3 · 7 · 47

Class	r	Atkin-Lehner	Eigenvalues
1974a (2 curves)	0	2+ 3+ 7+ 47-	2+ 3+  0 7+ -2 -4 -2  0
Curve Equation t 1974a1 [1,1,0,-2380,-46256] 2 1974a2 [1,1,0,-38220,-2891952] 2
1974b (2 curves)	1	2+ 3- 7- 47+	2+ 3-  0 7-  2 -4 -2 -8
Curve Equation t Generators 1974b1 [1,0,1,-1,-28] 2 [7:14:1] 1974b2 [1,0,1,-141,-644] 2 [-7:6:1]
1974c (4 curves)	1	2+ 3- 7- 47+	2+ 3-  0 7- -6 -4  6 -4
Curve Equation t Generators 1974c1 [1,0,1,-1116,50842] 6 [-40:198:1] 1974c2 [1,0,1,-28556,1850906] 6 [-75:1927:1] 1974c3 [1,0,1,9909,-1277450] 2 [982:10215:8] 1974c4 [1,0,1,-133451,-17161738] 2 [-177:1048:1]
1974d (2 curves)	1	2- 3+ 7+ 47-	2- 3+  2 7+ -2 -4 -6 -8
Curve Equation t Generators 1974d1 [1,1,1,-3527,79229] 2 [29:34:1] 1974d2 [1,1,1,-56447,5138381] 2 [125:172:1]
1974e (2 curves)	1	2- 3+ 7+ 47-	2- 3+ -2 7+  2  0  2 -4
Curve Equation t Generators 1974e1 [1,1,1,-4109,-310525] 2 [279:-4652:1] 1974e2 [1,1,1,-98189,-11863549] 2 [-187:140:1]
1974f (2 curves)	1	2- 3+ 7- 47+	2- 3+  0 7- -6  0 -2 -2
Curve Equation t Generators 1974f1 [1,1,1,-48,657] 2 [-3:29:1] 1974f2 [1,1,1,-1488,21393] 2 [103:935:1]
1974g (2 curves)	0	2- 3+ 7- 47-	2- 3+  2 7-  2  0  2  0
Curve Equation t 1974g1 [1,1,1,-97,-421] 2 1974g2 [1,1,1,-1567,-24529] 2
1974h (4 curves)	1	2- 3- 7+ 47+	2- 3- -2 7+  0 -6 -6 -4
Curve Equation t Generators 1974h1 [1,0,0,36,0] 4 [2:8:1] 1974h2 [1,0,0,-144,-36] 4 [20:62:1] 1974h3 [1,0,0,-1614,-25026] 2 [454:1843:8] 1974h4 [1,0,0,-1554,23370] 2 [1844:2417:64]
1974i (6 curves)	1	2- 3- 7+ 47+	2- 3- -2 7+ -4 -2  2 -4
Curve Equation t Generators 1974i1 [1,0,0,-6864,223488] 8 [-72:624:1] 1974i2 [1,0,0,-110544,14137344] 8 [-102:4986:1] 1974i3 [1,0,0,-111264,13943664] 4 [266:1652:1] 1974i4 [1,0,0,-1768704,905232528] 4 [1074:15108:1] 1974i5 [1,0,0,-255324,-29648892] 2 [105280:2295706:125] 1974i6 [1,0,0,21276,45143580] 2 [-1540:2302910:343]
1974j (4 curves)	0	2- 3- 7+ 47-	2- 3-  2 7+  0  2 -6  4
Curve Equation t 1974j1 [1,0,0,-497637,12713985] 2 1974j2 [1,0,0,-5740517,5281808385] 4 1974j3 [1,0,0,-91792357,338491743233] 4 1974j4 [1,0,0,-3574757,9314886657] 2
1974k (2 curves)	0	2- 3- 7+ 47-	2- 3-  2 7+  6 -4  6 -2
Curve Equation t 1974k1 [1,0,0,-27,-63] 2 1974k2 [1,0,0,-447,-3675] 2
1974l (4 curves)	0	2- 3- 7- 47+	2- 3-  0 7-  0  2  6 -4
Curve Equation t 1974l1 [1,0,0,-503,4329] 6 1974l2 [1,0,0,-8063,278001] 6 1974l3 [1,0,0,1477,23373] 2 1974l4 [1,0,0,-8813,222999] 2

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

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