Cremona's table of elliptic curves

31992 = 2³ · 3 · 31 · 43

Class	r	Atkin-Lehner	Eigenvalues
31992a (1 curve)	1	2+ 3+ 31+ 43+	2+ 3+ -1  4  3 -3  0  0
Curve Equation t Generators 31992a1 [0,-1,0,-43286856,-107463976596] 1 [1075636013298960681681982214091:-303617072698332046916207614919352:13406546440177721389007623]
31992b (1 curve)	1	2+ 3+ 31+ 43+	2+ 3+  2 -2 -3  6 -3  0
Curve Equation t Generators 31992b1 [0,-1,0,-48072,4074885] 1 [130:75:1]
31992c (4 curves)	0	2+ 3+ 31+ 43-	2+ 3+  2 -4  0 -2 -2  0
Curve Equation t 31992c1 [0,-1,0,-447,-3492] 2 31992c2 [0,-1,0,-492,-2700] 4 31992c3 [0,-1,0,1368,-19812] 2 31992c4 [0,-1,0,-3072,64380] 2
31992d (2 curves)	1	2+ 3+ 31- 43-	2+ 3+  0 -4 -6 -6 -4 -8
Curve Equation t Generators 31992d1 [0,-1,0,-443,3768] 2 [7:31:1] 31992d2 [0,-1,0,-7108,233044] 2 [50:-12:1]
31992e (1 curve)	1	2+ 3+ 31- 43-	2+ 3+ -3  2  3 -3  2  4
Curve Equation t Generators 31992e1 [0,-1,0,-1832,-28884] 1 [125:1296:1]
31992f (2 curves)	1	2+ 3- 31+ 43-	2+ 3- -2 -4  0  6  4  2
Curve Equation t Generators 31992f1 [0,1,0,-304,1136] 2 [-4:48:1] 31992f2 [0,1,0,936,9072] 2 [27:234:1]
31992g (4 curves)	1	2+ 3- 31- 43+	2+ 3- -2 -4 -4 -2 -6  0
Curve Equation t Generators 31992g1 [0,1,0,841,-5298] 4 [22:156:1] 31992g2 [0,1,0,-3964,-49504] 4 [-40:216:1] 31992g3 [0,1,0,-30624,2019312] 2 [-132:1944:1] 31992g4 [0,1,0,-54184,-4870624] 2 [-133:30:1]
31992h (2 curves)	1	2- 3+ 31+ 43-	2- 3+ -4  0  6 -6  0  4
Curve Equation t Generators 31992h1 [0,-1,0,-435,3636] 2 [-15:81:1] 31992h2 [0,-1,0,-300,5796] 2 [8:-62:1]
31992i (1 curve)	1	2- 3+ 31- 43+	2- 3+  1  3  6 -4  6 -5
Curve Equation t Generators 31992i1 [0,-1,0,-16700,-835671] 1 [236:-2883:1]
31992j (2 curves)	1	2- 3- 31+ 43+	2- 3-  0 -4 -2  2  4  0
Curve Equation t Generators 31992j1 [0,1,0,-363,1926] 2 [-21:27:1] 31992j2 [0,1,0,852,13104] 2 [18:-186:1]
31992k (1 curve)	1	2- 3- 31+ 43+	2- 3-  2  0 -1 -2  3 -2
Curve Equation t Generators 31992k1 [0,1,0,-87932,47805525] 1 [-314:6675:1]
31992l (1 curve)	1	2- 3- 31+ 43+	2- 3- -3  0 -1 -7  8  8
Curve Equation t Generators 31992l1 [0,1,0,-12432,-537696] 1 [-518:3:8]
31992m (1 curve)	0	2- 3- 31+ 43-	2- 3-  2  2  3  6 -1  8
Curve Equation t 31992m1 [0,1,0,18188,84365] 1
31992n (1 curve)	1	2- 3- 31- 43-	2- 3-  1 -1  6 -4 -2  7
Curve Equation t Generators 31992n1 [0,1,0,302340,36182277] 1 [-78:3483:1]
31992o (2 curves)	1	2- 3- 31- 43-	2- 3- -2  2  0  2  4 -2
Curve Equation t Generators 31992o1 [0,1,0,-84,96] 2 [-10:6:1] 31992o2 [0,1,0,-704,-7344] 2 [1144:38700:1]

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

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