Cremona's table of elliptic curves

10725 = 3 · 5² · 11 · 13

Class	r	Atkin-Lehner	Eigenvalues
10725a (6 curves)	1	3+ 5+ 11+ 13+	1 3+ 5+  0 11+ 13+  6 -4
Curve Equation t Generators 10725a1 [1,1,0,-600,7875] 2 [34:151:1] 10725a2 [1,1,0,-10725,423000] 4 [56:16:1] 10725a3 [1,1,0,-11850,327375] 4 [330:5535:1] 10725a4 [1,1,0,-171600,27289125] 2 [2110:4395:8] 10725a5 [1,1,0,-75225,-7721250] 2 [24500:272275:64] 10725a6 [1,1,0,33525,2278500] 2 [2398:48999:8]
10725b (4 curves)	1	3+ 5+ 11+ 13+	1 3+ 5+ -4 11+ 13+ -2  4
Curve Equation t Generators 10725b1 [1,1,0,-1125,-15000] 2 [44:130:1] 10725b2 [1,1,0,-1250,-11625] 4 [70:465:1] 10725b3 [1,1,0,-8125,270250] 2 [70:190:1] 10725b4 [1,1,0,3625,-75000] 2 [1118:13719:8]
10725c (2 curves)	1	3+ 5+ 11+ 13+	-1 3+ 5+ -2 11+ 13+ -2  8
Curve Equation t Generators 10725c1 [1,1,1,-438,3906] 2 [0:62:1] 10725c2 [1,1,1,-7313,237656] 2 [0:487:1]
10725d (1 curve)	1	3+ 5+ 11+ 13+	-2 3+ 5+ -4 11+ 13+ -5 -5
Curve Equation t Generators 10725d1 [0,-1,1,-9779258,11857563668] 1 [2822:82012:1]
10725e (2 curves)	1	3+ 5- 11- 13+	2 3+ 5-  2 11- 13+ -3  5
Curve Equation t Generators 10725e1 [0,-1,1,-3708,-303307] 1 [2586:45371:8] 10725e2 [0,-1,1,-182458,44672943] 1 [4057966:58648801:10648]
10725f (8 curves)	1	3- 5+ 11- 13+	1 3- 5+  0 11- 13+ -2  4
Curve Equation t Generators 10725f1 [1,0,1,-111523251,453301690273] 2 [3155464:3001587:512] 10725f2 [1,0,1,-111523376,453300623273] 4 [5931:19342:1] 10725f3 [1,0,1,-113353501,437653054523] 4 [44497:9115451:1] 10725f4 [1,0,1,-109695251,468879904523] 2 [66198:2826611:8] 10725f5 [1,0,1,-349681626,-1983292257977] 4 [-7580868077:-511140080946:704969] 10725f6 [1,0,1,93692624,1857161287523] 2 [2780884:598865039:64] 10725f7 [1,0,1,-5258603501,-146767034039227] 2 [-287380947:788781169:6859] 10725f8 [1,0,1,777990249,-12139105164227] 2 [513560268656318:-118656920678368281:12390535144]
10725g (2 curves)	1	3- 5+ 11- 13+	1 3- 5+  0 11- 13+  4 -8
Curve Equation t Generators 10725g1 [1,0,1,49,173] 2 [1326:16433:8] 10725g2 [1,0,1,-326,1673] 2 [-19:42:1]
10725h (2 curves)	1	3- 5+ 11- 13+	-1 3- 5+  2 11- 13+  6  0
Curve Equation t Generators 10725h1 [1,0,0,1187,9992] 2 [17:179:1] 10725h2 [1,0,0,-5688,85617] 2 [-33:504:1]
10725i (4 curves)	1	3- 5+ 11- 13+	-1 3- 5+ -4 11- 13+ -6  0
Curve Equation t Generators 10725i1 [1,0,0,-1815438,-941651133] 2 [-7464307902562161:3733449074708320:9594348501249] 10725i2 [1,0,0,-1815563,-941515008] 4 [70589973:3241566426:24389] 10725i3 [1,0,0,-2049938,-682999383] 2 [-429:11055:1] 10725i4 [1,0,0,-1583188,-1191318133] 2 [10997:1139639:1]
10725j (1 curve)	1	3- 5+ 11- 13+	-2 3- 5+  0 11- 13+  7  1
Curve Equation t Generators 10725j1 [0,1,1,-49908,4275344] 1 [138:-188:1]
10725k (1 curve)	0	3- 5+ 11- 13-	2 3- 5+  4 11- 13- -3  1
Curve Equation t 10725k1 [0,1,1,242,19] 1
10725l (2 curves)	1	3- 5- 11- 13-	-2 3- 5- -2 11- 13-  3  5
Curve Equation t Generators 10725l1 [0,1,1,-148,-2486] 1 [23:82:1] 10725l2 [0,1,1,-7298,354464] 5 [-77:682:1]

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