Cremona's table of elliptic curves

994 = 2 · 7 · 71

Class	r	Atkin-Lehner	Eigenvalues
994a (1 curve)	1	2+ 7+ 71+	2+  1  0 7+ -5  5 -2  4
Curve Equation t Generators 994a1 [1,0,1,-1,4] 1 [-1:2:1]
994b (2 curves)	0	2+ 7+ 71-	2+ -2  2 7+  4  0 -4  6
Curve Equation t 994b1 [1,0,1,255,-796] 2 994b2 [1,0,1,-1165,-7044] 2
994c (2 curves)	0	2+ 7- 71+	2+  2 -2 7-  4  0  0  2
Curve Equation t 994c1 [1,1,0,-371,-3091] 2 994c2 [1,1,0,-6051,-183715] 2
994d (2 curves)	1	2+ 7- 71-	2+  1  0 7- -3 -1 -6 -4
Curve Equation t Generators 994d1 [1,0,1,164,922] 3 [65:503:1] 994d2 [1,0,1,-1611,-39690] 1 [591:14040:1]
994e (2 curves)	0	2- 7+ 71+	2- -2  4 7+  2  6 -2 -6
Curve Equation t 994e1 [1,0,0,-11,13] 2 994e2 [1,0,0,-21,-17] 2
994f (4 curves)	1	2- 7- 71+	2-  0 -2 7- -4 -6  6  0
Curve Equation t Generators 994f1 [1,-1,1,-16,-13] 2 [-1:1:1] 994f2 [1,-1,1,-96,371] 4 [-9:25:1] 994f3 [1,-1,1,-1516,23091] 4 [133:1403:1] 994f4 [1,-1,1,44,1267] 2 [-7:27:1]
994g (4 curves)	1	2- 7- 71+	2- -2  0 7- -6  2 -6  2
Curve Equation t Generators 994g1 [1,0,0,-678,-5660] 6 [-16:42:1] 994g2 [1,0,0,-3238,65508] 6 [-46:366:1] 994g3 [1,0,0,-52198,-4594524] 2 [318:3156:1] 994g4 [1,0,0,-52238,-4587140] 2 [-130:170:1]

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

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