Cremona's table of elliptic curves

52767 = 3² · 11 · 13 · 41

Class	r	Atkin-Lehner	Eigenvalues
52767a (2 curves)	1	3+ 11+ 13+ 41+	-1 3+  0 -2 11+ 13+  6  2
Curve Equation t Generators 52767a1 [1,-1,1,-16175,626590] 2 [100:-10:1] 52767a2 [1,-1,1,-243110,46195138] 2 [226:1547:1]
52767b (2 curves)	1	3+ 11- 13+ 41-	1 3+  0 -2 11- 13+ -6  2
Curve Equation t Generators 52767b1 [1,-1,0,-1797,-22608] 2 [-672:2468:27] 52767b2 [1,-1,0,-27012,-1701927] 2 [1614:7311:8]
52767c (1 curve)	0	3- 11+ 13+ 41+	1 3-  2  2 11+ 13+ -2  2
Curve Equation t 52767c1 [1,-1,0,-81,454] 1
52767d (2 curves)	1	3- 11+ 13+ 41-	1 3-  0  4 11+ 13+  0 -4
Curve Equation t Generators 52767d1 [1,-1,0,-1225422,522472599] 2 [331272:33381:512] 52767d2 [1,-1,0,-19607157,33422101902] 2 [20718:12807:8]
52767e (1 curve)	0	3- 11+ 13- 41-	1 3- -3  3 11+ 13-  1  1
Curve Equation t 52767e1 [1,-1,0,1567449,109420996] 1
52767f (1 curve)	0	3- 11+ 13- 41-	-1 3-  1  3 11+ 13- -3 -7
Curve Equation t 52767f1 [1,-1,1,26160223,-43658863468] 1
52767g (4 curves)	0	3- 11+ 13- 41-	-1 3- -2  0 11+ 13-  6 -4
Curve Equation t 52767g1 [1,-1,1,-21056,1179002] 4 52767g2 [1,-1,1,-28661,257276] 4 52767g3 [1,-1,1,113494,1963136] 2 52767g4 [1,-1,1,-292496,-60530308] 2
52767h (1 curve)	2	3- 11- 13+ 41-	1 3-  3 -5 11- 13+ -3 -7
Curve Equation t Generators 52767h1 [1,-1,0,-198,-9693] 1 [206:235:8]&[42:213:1]

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

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