Cremona's table of elliptic curves

4018 = 2 · 7² · 41

Class	r	Atkin-Lehner	Eigenvalues
4018a (1 curve)	1	2+ 7+ 41+	2+ -1 -1 7+  1 -2  0  3
Curve Equation t Generators 4018a1 [1,1,0,122,-1336] 1 [20:88:1]
4018b (1 curve)	1	2+ 7+ 41+	2+ -3 -1 7+ -5  6  0  1
Curve Equation t Generators 4018b1 [1,-1,0,-205,1189] 1 [2:27:1]
4018c (2 curves)	0	2+ 7- 41+	2+ -1  3 7-  0 -2  3  4
Curve Equation t 4018c1 [1,1,0,-3896,-69152] 1 4018c2 [1,1,0,-114391,14839637] 1
4018d (1 curve)	1	2+ 7- 41-	2+  1  1 7-  1  2  0 -3
Curve Equation t Generators 4018d1 [1,0,1,2,4] 1 [-1:1:1]
4018e (1 curve)	1	2+ 7- 41-	2+  1 -1 7-  0 -2  5  4
Curve Equation t Generators 4018e1 [1,0,1,-124,340] 1 [-10:29:1]
4018f (2 curves)	1	2+ 7- 41-	2+  2  2 7- -2 -4  2 -6
Curve Equation t Generators 4018f1 [1,1,0,-74,-160] 2 [10:10:1] 4018f2 [1,1,0,-564,4838] 2 [-1:74:1]
4018g (2 curves)	1	2+ 7- 41-	2+  2 -4 7-  4 -4  2  6
Curve Equation t Generators 4018g1 [1,1,0,-1552247,-1803905515] 2 [2370923103801687:-896107384265182940:16639966377] 4018g2 [1,1,0,-33664887,-75117062635] 2 [-4464399687:-930184133:1367631]
4018h (2 curves)	1	2+ 7- 41-	2+ -2  2 7- -6  4  2 -2
Curve Equation t Generators 4018h1 [1,0,1,-101015,-12364614] 2 [11367:1205756:1] 4018h2 [1,0,1,-108855,-10335622] 2 [-262:596:1]
4018i (2 curves)	1	2+ 7- 41-	2+ -2 -2 7- -2 -4 -6  6
Curve Equation t Generators 4018i1 [1,0,1,-4142,-39840] 2 [-10:29:1] 4018i2 [1,0,1,-35502,2544224] 2 [32:1184:1]
4018j (1 curve)	1	2+ 7- 41-	2+  3  1 7- -5 -6  0 -1
Curve Equation t Generators 4018j1 [1,-1,0,-10054,-387724] 1 [208260:3155554:729]
4018k (1 curve)	1	2+ 7- 41-	2+ -3  1 7-  4  6 -3 -4
Curve Equation t Generators 4018k1 [1,-1,0,-1969,34117] 1 [23:13:1]
4018l (1 curve)	1	2- 7+ 41-	2-  2 -2 7+ -4  1  0 -6
Curve Equation t Generators 4018l1 [1,1,1,636,-32635] 1 [69:553:1]
4018m (1 curve)	1	2- 7- 41+	2-  1  1 7- -6  4 -7  0
Curve Equation t Generators 4018m1 [1,0,0,-1030,-1436] 1 [-24:110:1]
4018n (2 curves)	1	2- 7- 41+	2-  1 -1 7-  2 -4 -3  0
Curve Equation t Generators 4018n1 [1,0,0,-8576,-296416] 1 [-52:124:1] 4018n2 [1,0,0,-773466,261759014] 1 [30580:58553:64]
4018o (1 curve)	1	2- 7- 41+	2- -1 -3 7-  4  2 -7  4
Curve Equation t Generators 4018o1 [1,1,1,-22,27] 1 [-1:7:1]
4018p (1 curve)	1	2- 7- 41+	2- -2  2 7- -4 -1  0  6
Curve Equation t Generators 4018p1 [1,0,0,13,97] 1 [-2:9:1]
4018q (2 curves)	0	2- 7- 41-	2-  0  4 7- -2  6  6 -4
Curve Equation t 4018q1 [1,-1,1,162,-2131] 2 4018q2 [1,-1,1,-1798,-25651] 2
4018r (1 curve)	0	2- 7- 41-	2-  1  3 7-  4 -2  7 -4
Curve Equation t 4018r1 [1,0,0,-1079,-12559] 1
4018s (2 curves)	0	2- 7- 41-	2-  3  1 7- -2  0  3  8
Curve Equation t 4018s1 [1,-1,1,-948282,-326942087] 1 4018s2 [1,-1,1,-470954322,3933954127513] 1

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