Cremona's table of elliptic curves

40992 = 2⁵ · 3 · 7 · 61

Class	r	Atkin-Lehner	Eigenvalues
40992a (1 curve)	1	2+ 3+ 7+ 61+	2+ 3+ -4 7+ -2 -4  7 -2
Curve Equation t Generators 40992a1 [0,-1,0,1715,22981] 1 [31:-324:1]
40992b (1 curve)	0	2+ 3+ 7- 61+	2+ 3+  1 7-  0 -2  4 -7
Curve Equation t 40992b1 [0,-1,0,-165425,-25842207] 1
40992c (4 curves)	0	2+ 3+ 7- 61+	2+ 3+  2 7- -4 -6  6  4
Curve Equation t 40992c1 [0,-1,0,-1282,18040] 4 40992c2 [0,-1,0,-672,34632] 2 40992c3 [0,-1,0,-1912,-860] 2 40992c4 [0,-1,0,-20497,1136353] 2
40992d (1 curve)	0	2+ 3+ 7- 61+	2+ 3+ -3 7-  4  2  4 -3
Curve Equation t 40992d1 [0,-1,0,7469903,17790959329] 1
40992e (2 curves)	0	2+ 3+ 7- 61+	2+ 3+  4 7-  0 -2 -2 -4
Curve Equation t 40992e1 [0,-1,0,-106,988] 2 40992e2 [0,-1,0,-2241,41553] 2
40992f (1 curve)	0	2+ 3- 7+ 61+	2+ 3-  1 7+  0 -2  4  7
Curve Equation t 40992f1 [0,1,0,-165425,25842207] 1
40992g (1 curve)	0	2+ 3- 7+ 61+	2+ 3- -3 7+ -4  2  4  3
Curve Equation t 40992g1 [0,1,0,7469903,-17790959329] 1
40992h (2 curves)	0	2+ 3- 7+ 61+	2+ 3-  4 7+  0 -2 -2  4
Curve Equation t 40992h1 [0,1,0,-106,-988] 2 40992h2 [0,1,0,-2241,-41553] 2
40992i (1 curve)	1	2+ 3- 7+ 61-	2+ 3-  0 7+  2  4 -3 -6
Curve Equation t Generators 40992i1 [0,1,0,-413,3147] 1 [13:12:1]
40992j (1 curve)	1	2+ 3- 7+ 61-	2+ 3-  0 7+  3  1  6 -2
Curve Equation t Generators 40992j1 [0,1,0,-8,-120] 1 [10:30:1]
40992k (4 curves)	1	2+ 3- 7- 61+	2+ 3- -2 7-  4  2 -2 -4
Curve Equation t Generators 40992k1 [0,1,0,-1114,-13984] 4 [40:84:1] 40992k2 [0,1,0,776,-54808] 2 [266:753:8] 40992k3 [0,1,0,-3249,53055] 2 [-63:108:1] 40992k4 [0,1,0,-17584,-903364] 2 [1687:69090:1]
40992l (1 curve)	1	2+ 3- 7- 61+	2+ 3- -4 7-  2 -4  7  2
Curve Equation t Generators 40992l1 [0,1,0,1715,-22981] 1 [77:756:1]
40992m (4 curves)	0	2- 3+ 7+ 61+	2- 3+ -2 7+ -4  2 -2  4
Curve Equation t 40992m1 [0,-1,0,-1114,13984] 4 40992m2 [0,-1,0,776,54808] 2 40992m3 [0,-1,0,-3249,-53055] 2 40992m4 [0,-1,0,-17584,903364] 2
40992n (1 curve)	1	2- 3+ 7+ 61-	2- 3+  1 7+  0  6  0  5
Curve Equation t Generators 40992n1 [0,-1,0,-145,-1151] 1 [21:68:1]
40992o (1 curve)	0	2- 3+ 7- 61-	2- 3+  0 7- -2  4 -3  6
Curve Equation t 40992o1 [0,-1,0,-413,-3147] 1
40992p (1 curve)	0	2- 3+ 7- 61-	2- 3+  0 7- -3  1  6  2
Curve Equation t 40992p1 [0,-1,0,-8,120] 1
40992q (4 curves)	1	2- 3- 7+ 61+	2- 3-  2 7+  4 -6  6 -4
Curve Equation t Generators 40992q1 [0,1,0,-1282,-18040] 4 [341:6270:1] 40992q2 [0,1,0,-672,-34632] 2 [42:114:1] 40992q3 [0,1,0,-1912,860] 2 [454333:8337390:1331] 40992q4 [0,1,0,-20497,-1136353] 2 [353810:6002271:1000]
40992r (1 curve)	1	2- 3- 7- 61-	2- 3-  1 7-  0  6  0 -5
Curve Equation t Generators 40992r1 [0,1,0,-145,1151] 1 [-1:36:1]

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