Cremona's table of elliptic curves

126405 = 3² · 5 · 53²

Class	r	Atkin-Lehner	Eigenvalues
126405a (2 curves)	1	3+ 5+ 53+	1 3+ 5+  2  0  6  6 -4
Curve Equation t Generators 126405a1 [1,-1,0,-1142385,-758303200] 2 [1499024616868399846779522070629485798030696248:-26492736121865265528103937714675633023566241303:1035840636642596932362272938127150977023488] 126405a2 [1,-1,0,-21240780,-37662976099] 2 [-9330223309355085932298566:-962784362226265677723455:3464472863191729816792]
126405b (1 curve)	1	3+ 5+ 53+	1 3+ 5+  3  2 -6  0 -3
Curve Equation t Generators 126405b1 [1,-1,0,30,-29] 1 [2:5:1]
126405c (1 curve)	1	3+ 5+ 53+	2 3+ 5+ -4 -6  0  3 -4
Curve Equation t Generators 126405c1 [0,0,1,8427,3014759] 1 [-636:109519:64]
126405d (1 curve)	0	3+ 5+ 53-	1 3+ 5+  3 -2 -6  0  3
Curve Equation t 126405d1 [1,-1,0,753690,86360291] 1
126405e (2 curves)	0	3+ 5- 53+	-1 3+ 5-  2  0  6 -6 -4
Curve Equation t 126405e1 [1,-1,1,-126932,28127614] 2 126405e2 [1,-1,1,-2360087,1395711736] 2
126405f (1 curve)	2	3+ 5- 53+	-1 3+ 5-  3 -2 -6  0 -3
Curve Equation t Generators 126405f1 [1,-1,1,268,514] 1 [2:31:1]&[4:38:1]
126405g (1 curve)	0	3+ 5- 53+	-2 3+ 5- -4  6  0 -3 -4
Curve Equation t 126405g1 [0,0,1,75843,-81398500] 1
126405h (1 curve)	1	3+ 5- 53-	-1 3+ 5-  3  2 -6  0  3
Curve Equation t Generators 126405h1 [1,-1,1,83743,-3226444] 1 [1096:36924:1]
126405i (1 curve)	2	3- 5+ 53+	0 3- 5+  0 -4  4  2 -1
Curve Equation t Generators 126405i1 [0,0,1,-318,2133] 1 [-126:451:8]&[-1:49:1]
126405j (2 curves)	0	3- 5+ 53+	0 3- 5+  2  0 -4 -3 -8
Curve Equation t 126405j1 [0,0,1,-12421398,-61963314566] 1 126405j2 [0,0,1,110444262,1563076334443] 1
126405k (1 curve)	0	3- 5+ 53+	0 3- 5+ -2  4  0 -5  4
Curve Equation t 126405k1 [0,0,1,-5595528,5110984629] 1
126405l (1 curve)	0	3- 5+ 53+	0 3- 5+  4  4  0 -2  7
Curve Equation t 126405l1 [0,0,1,-4727388,-3938041656] 1
126405m (4 curves)	0	3- 5+ 53+	1 3- 5+  0 -4  6 -6  0
Curve Equation t 126405m1 [1,-1,0,543015,98509216] 2 126405m2 [1,-1,0,-2617110,861363391] 4 126405m3 [1,-1,0,-19681785,-33005190614] 2 126405m4 [1,-1,0,-36114435,83512663096] 2
126405n (1 curve)	2	3- 5+ 53+	1 3- 5+ -2  1 -5 -4 -4
Curve Equation t Generators 126405n1 [1,-1,0,-15075,-236250] 1 [-50:650:1]&[-42:588:1]
126405o (1 curve)	0	3- 5+ 53+	1 3- 5+  3 -4  0  6  6
Curve Equation t 126405o1 [1,-1,0,-1479465,1398711046] 1
126405p (4 curves)	0	3- 5+ 53+	1 3- 5+  4  4 -2  2 -4
Curve Equation t 126405p1 [1,-1,0,-215415,-25985664] 2 126405p2 [1,-1,0,-1353060,586294875] 4 126405p3 [1,-1,0,543015,2098225080] 2 126405p4 [1,-1,0,-21451455,38246667426] 2
126405q (2 curves)	0	3- 5+ 53+	-1 3- 5+  2  0 -6  6  2
Curve Equation t 126405q1 [1,-1,1,-3480878,-2498742044] 2 126405q2 [1,-1,1,-3354473,-2688703478] 2
126405r (1 curve)	1	3- 5+ 53-	-2 3- 5+  2  0  0  0  1
Curve Equation t Generators 126405r1 [0,0,1,-1339893,585868214] 1 [6834:64319:8]
126405s (8 curves)	1	3- 5- 53+	-1 3- 5-  0  4 -2 -2 -4
Curve Equation t Generators 126405s1 [1,-1,1,-527,-748906] 2 [15993:2014483:1] 126405s2 [1,-1,1,-126932,-17130994] 4 [-764784:1130269:4096] 126405s3 [1,-1,1,-253337,22762424] 4 [-714:53813:8] 126405s4 [1,-1,1,-2023007,-1106994904] 2 [-3465371755440:1778051073767:4220112896] 126405s5 [1,-1,1,884308,170201216] 2 [5181:376624:1] 126405s6 [1,-1,1,-3413462,2426985524] 4 [13881186:140326663:10648] 126405s7 [1,-1,1,-2781437,3353028554] 2 [6508360440582:320709086713189:8024024008] 126405s8 [1,-1,1,-54607487,155333299394] 2 [2310021018426:-162552913157:539353144]
126405t (1 curve)	1	3- 5- 53+	2 3- 5-  2  0  0  0 -1
Curve Equation t Generators 126405t1 [0,0,1,-477,3935] 1 [114:41:8]
126405u (1 curve)	0	3- 5- 53-	0 3- 5-  0 -4  4  2  1
Curve Equation t 126405u1 [0,0,1,-893262,317591860] 1
126405v (1 curve)	0	3- 5- 53-	0 3- 5-  4  4  0 -2 -7
Curve Equation t 126405v1 [0,0,1,-13279232892,-586283827583093] 1
126405w (1 curve)	0	3- 5- 53-	-1 3- 5- -2  1 -5 -4  4
Curve Equation t 126405w1 [1,-1,1,-42346202,-35722689546] 1
126405x (1 curve)	0	3- 5- 53-	-1 3- 5-  3 -4  0  6 -6
Curve Equation t 126405x1 [1,-1,1,-527,9524] 1

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