Cremona's table of elliptic curves

51255 = 3² · 5 · 17 · 67

Class	r	Atkin-Lehner	Eigenvalues
51255a (2 curves)	0	3+ 5+ 17+ 67-	1 3+ 5+  4 -4 -4 17+  0
Curve Equation t 51255a1 [1,-1,0,-1215,-16000] 2 51255a2 [1,-1,0,-1290,-13855] 2
51255b (2 curves)	0	3+ 5- 17- 67-	-1 3+ 5-  4  4 -4 17-  0
Curve Equation t 51255b1 [1,-1,1,-10937,442936] 2 51255b2 [1,-1,1,-11612,385696] 2
51255c (6 curves)	1	3- 5+ 17+ 67-	1 3- 5+  0 -4  6 17+  4
Curve Equation t Generators 51255c1 [1,-1,0,-136935,86718496] 2 [2672217760:-295793609168:33698267] 51255c2 [1,-1,0,-3895380,2951405275] 4 [17822:371979377:6859] 51255c3 [1,-1,0,-5651055,27504130] 2 [83878:8322877:8] 51255c4 [1,-1,0,-62274825,189170158936] 4 [38581903038380:-939942014614:8502154921] 51255c5 [1,-1,0,-62223570,189497053075] 2 [79894771293466112970:1236528966832951923515:19815829883705016] 51255c6 [1,-1,0,-996397200,12106142945761] 2 [56400872818771638008670:-28218533329309343595791:3094736303055766824]
51255d (1 curve)	1	3- 5+ 17+ 67-	1 3- 5+  0  5  0 17+ -8
Curve Equation t Generators 51255d1 [1,-1,0,0,-1139] 1 [20:71:1]
51255e (1 curve)	2	3- 5- 17+ 67-	-1 3- 5- -2  1 -4 17+ -6
Curve Equation t Generators 51255e1 [1,-1,1,-215762,39791274] 1 [257:-1254:1]&[-418:7746:1]
51255f (1 curve)	1	3- 5- 17- 67-	2 3- 5-  0  1 -6 17-  1
Curve Equation t Generators 51255f1 [0,0,1,-57,-275] 1 [12390:92845:216]

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

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