Cremona's table of elliptic curves

51336 = 2³ · 3² · 23 · 31

Class	r	Atkin-Lehner	Eigenvalues
51336a (1 curve)	1	2+ 3+ 23+ 31+	2+ 3+  1 -2  4  0  6  2
Curve Equation t Generators 51336a1 [0,0,0,-12,-108] 1 [6:6:1]
51336b (2 curves)	1	2+ 3+ 23- 31-	2+ 3+ -2  0 -4  2  2  0
Curve Equation t Generators 51336b1 [0,0,0,-486,945] 2 [48:297:1] 51336b2 [0,0,0,-4671,-122094] 2 [79:44:1]
51336c (4 curves)	0	2+ 3- 23+ 31+	2+ 3- -2  0 -4  6  6 -4
Curve Equation t 51336c1 [0,0,0,-1866,16121] 2 51336c2 [0,0,0,-25671,1582490] 4 51336c3 [0,0,0,-21531,2109926] 2 51336c4 [0,0,0,-410691,101302670] 2
51336d (2 curves)	2	2+ 3- 23+ 31+	2+ 3- -2 -2 -4 -2  8 -2
Curve Equation t Generators 51336d1 [0,0,0,249,9146] 2 [-14:54:1]&[14:124:1] 51336d2 [0,0,0,-5331,141950] 2 [-58:506:1]&[-41:540:1]
51336e (4 curves)	0	2+ 3- 23+ 31+	2+ 3- -2  4  4 -6 -6 -4
Curve Equation t 51336e1 [0,0,0,-2151,38394] 2 51336e2 [0,0,0,-2331,31590] 4 51336e3 [0,0,0,5949,205470] 2 51336e4 [0,0,0,-13491,-577746] 2
51336f (1 curve)	2	2+ 3- 23+ 31+	2+ 3- -3 -5  2  0 -4 -1
Curve Equation t Generators 51336f1 [0,0,0,-399,3139] 1 [11:-9:1]&[15:23:1]
51336g (2 curves)	0	2+ 3- 23+ 31+	2+ 3-  4  0  4 -2  6 -8
Curve Equation t 51336g1 [0,0,0,26457,-968870] 2 51336g2 [0,0,0,-124203,-8351210] 2
51336h (1 curve)	1	2+ 3- 23+ 31-	2+ 3- -3  3  3  6 -6 -4
Curve Equation t Generators 51336h1 [0,0,0,-579,5006] 1 [7:36:1]
51336i (1 curve)	1	2+ 3- 23- 31+	2+ 3-  1  3  1 -2  6  4
Curve Equation t Generators 51336i1 [0,0,0,-11667,466558] 1 [-97:828:1]
51336j (1 curve)	1	2+ 3- 23- 31+	2+ 3- -1 -1  0  4  2 -1
Curve Equation t Generators 51336j1 [0,0,0,-59763,5623711] 1 [131:207:1]
51336k (2 curves)	0	2+ 3- 23- 31-	2+ 3-  0  4  0 -2  2  0
Curve Equation t 51336k1 [0,0,0,-210,209] 2 51336k2 [0,0,0,825,1658] 2
51336l (2 curves)	1	2- 3+ 23+ 31-	2- 3+  2  0  4  2 -2  0
Curve Equation t Generators 51336l1 [0,0,0,-54,-35] 2 [-3:10:1] 51336l2 [0,0,0,-519,4522] 2 [-9:92:1]
51336m (1 curve)	1	2- 3+ 23- 31+	2- 3+ -1 -2 -4  0 -6  2
Curve Equation t Generators 51336m1 [0,0,0,-108,2916] 1 [0:54:1]
51336n (1 curve)	1	2- 3- 23+ 31+	2- 3-  3  3 -4 -4 -2 -5
Curve Equation t Generators 51336n1 [0,0,0,249,1303] 1 [-3:23:1]
51336o (2 curves)	0	2- 3- 23+ 31-	2- 3-  0  4  0  6 -2  0
Curve Equation t 51336o1 [0,0,0,-16438170,25651990573] 2 51336o2 [0,0,0,-15890655,27440284066] 2
51336p (1 curve)	0	2- 3- 23+ 31-	2- 3- -3 -2 -3 -1  7  3
Curve Equation t 51336p1 [0,0,0,-207579,-91248874] 1
51336q (2 curves)	0	2- 3- 23+ 31-	2- 3- -4  0 -2  2 -2  6
Curve Equation t 51336q1 [0,0,0,48813,-1751330] 2 51336q2 [0,0,0,-213627,-14610890] 2
51336r (2 curves)	0	2- 3- 23- 31+	2- 3- -2 -2  6  6  0  0
Curve Equation t 51336r1 [0,0,0,-32691,-13413634] 2 51336r2 [0,0,0,-1070571,-424621690] 2
51336s (1 curve)	0	2- 3- 23- 31+	2- 3-  3  4  3  5  3 -5
Curve Equation t 51336s1 [0,0,0,789,9862] 1
51336t (1 curve)	0	2- 3- 23- 31+	2- 3- -3  1 -3  2 -6  4
Curve Equation t 51336t1 [0,0,0,-137019,-10227674] 1

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