Cremona's table of elliptic curves

55275 = 3 · 5² · 11 · 67

Class	r	Atkin-Lehner	Eigenvalues
55275a (3 curves)	1	3+ 5+ 11+ 67+	0 3+ 5+  1 11+ -5 -6  2
Curve Equation t Generators 55275a1 [0,-1,1,-683,24143] 1 [13:131:1] 55275a2 [0,-1,1,6067,-600232] 1 [856328:21837408:1331] 55275a3 [0,-1,1,-395933,-95849107] 1 [295024144256121362203:3910614051036525946233:363858245434077031]
55275b (2 curves)	1	3+ 5+ 11+ 67+	1 3+ 5+  2 11+ -6  6 -4
Curve Equation t Generators 55275b1 [1,1,0,-1400,13875] 2 [-14:183:1] 55275b2 [1,1,0,-8275,-281750] 2 [-362:589:8]
55275c (1 curve)	1	3+ 5+ 11+ 67+	-1 3+ 5+ -1 11+  4  3  1
Curve Equation t Generators 55275c1 [1,1,1,1077,-301734] 1 [2174:100317:1]
55275d (1 curve)	0	3+ 5+ 11+ 67-	0 3+ 5+ -4 11+  4  5 -4
Curve Equation t 55275d1 [0,-1,1,-753,-426157] 1
55275e (2 curves)	2	3+ 5+ 11+ 67-	-1 3+ 5+ -2 11+  2 -2 -4
Curve Equation t Generators 55275e1 [1,1,1,-563,-2344] 2 [-20:47:1]&[-19:53:1] 55275e2 [1,1,1,-7438,-249844] 2 [-402:299:8]&[-50:37:1]
55275f (4 curves)	0	3+ 5+ 11+ 67-	-1 3+ 5+  4 11+ -2 -6  4
Curve Equation t 55275f1 [1,1,1,-9488,-347344] 2 55275f2 [1,1,1,-24613,1013906] 4 55275f3 [1,1,1,67512,6909906] 2 55275f4 [1,1,1,-358738,82540406] 2
55275g (1 curve)	0	3+ 5+ 11+ 67-	2 3+ 5+  4 11+  6  3  1
Curve Equation t 55275g1 [0,-1,1,-10658,433343] 1
55275h (1 curve)	1	3+ 5- 11- 67+	0 3+ 5- -4 11-  4  3  4
Curve Equation t Generators 55275h1 [0,-1,1,17,318] 1 [-2:16:1]
55275i (4 curves)	1	3- 5+ 11+ 67-	1 3- 5+  0 11+ -2  2  4
Curve Equation t Generators 55275i1 [1,0,1,-12876,560773] 2 [-22278:203531:216] 55275i2 [1,0,1,-16001,267023] 4 [-7913514:-60682187:74088] 55275i3 [1,0,1,59624,2082023] 4 [417:9766:1] 55275i4 [1,0,1,-141626,-20335477] 2 [4470272728:-153789448689:3511808]
55275j (1 curve)	1	3- 5+ 11+ 67-	1 3- 5+  3 11+  0  6  6
Curve Equation t Generators 55275j1 [1,0,1,-976,278723] 1 [-59:392:1]
55275k (2 curves)	1	3- 5+ 11+ 67-	-1 3- 5+  0 11+ -4 -2 -2
Curve Equation t Generators 55275k1 [1,0,0,-2638,-45733] 2 [-879:2515:27] 55275k2 [1,0,0,-11013,398142] 2 [-93:834:1]
55275l (1 curve)	1	3- 5+ 11+ 67-	2 3- 5+  3 11+  5 -2  4
Curve Equation t Generators 55275l1 [0,1,1,-2403808,-1435437581] 1 [17892766762:1301237669129:3112136]
55275m (1 curve)	1	3- 5+ 11+ 67-	-2 3- 5+ -3 11+  3 -6  0
Curve Equation t Generators 55275m1 [0,1,1,-308,-2206] 1 [129:1456:1]
55275n (1 curve)	0	3- 5+ 11- 67-	0 3- 5+  4 11- -4 -3  4
Curve Equation t 55275n1 [0,1,1,417,40619] 1
55275o (4 curves)	0	3- 5+ 11- 67-	1 3- 5+ -4 11-  6 -6  4
Curve Equation t 55275o1 [1,0,1,-3626,66023] 2 55275o2 [1,0,1,-18751,-932227] 4 55275o3 [1,0,1,15624,-3957227] 2 55275o4 [1,0,1,-295126,-61734727] 2
55275p (2 curves)	0	3- 5+ 11- 67-	-1 3- 5+  2 11-  0  4  8
Curve Equation t 55275p1 [1,0,0,-23463,-1385208] 2 55275p2 [1,0,0,-22088,-1554333] 2
55275q (1 curve)	0	3- 5+ 11- 67-	2 3- 5+ -4 11-  6 -5  5
Curve Equation t 55275q1 [0,1,1,3652842,-38755382281] 1
55275r (1 curve)	1	3- 5- 11+ 67+	0 3- 5-  4 11+ -4 -5 -4
Curve Equation t Generators 55275r1 [0,1,1,-18833,-53307256] 1 [532:9355:1]
55275s (1 curve)	0	3- 5- 11+ 67-	1 3- 5-  1 11+ -4 -3  1
Curve Equation t 55275s1 [1,0,1,26924,-37770577] 1

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