Cremona's table of elliptic curves

84111 = 3 · 23² · 53

Class	r	Atkin-Lehner	Eigenvalues
84111a (1 curve)	1	3- 23- 53+	0 3-  2 -1  0 -3  6 -4
Curve Equation t Generators 84111a1 [0,1,1,-10447397,-14722624162] 1 [94682:9861665:8]
84111b (4 curves)	1	3- 23- 53+	1 3-  2  4  4 -2 -2 -4
Curve Equation t Generators 84111b1 [1,0,1,-40480,-3137911] 2 [-536508910897259654082910823570117325321132523629719328:208076064815609314125088869727918115338119953966339197:4601703382215611343137331250393906538286514649923584] 84111b2 [1,0,1,-43125,-2705189] 4 [-49284999280421094258630853488:-133707885497463146877118465669:317097616713026262663499776] 84111b3 [1,0,1,97060,-16611541] 2 [187986649185975:1371120606750722:1250984234375] 84111b4 [1,0,1,-225630,38905951] 2 [-83742874275369946:-713374555491766595:164080578752936]
84111c (1 curve)	1	3- 23- 53+	-1 3-  0 -5 -5 -2  3  4
Curve Equation t Generators 84111c1 [1,0,0,-115333,15063260] 1 [44:3152:1]
84111d (1 curve)	2	3- 23- 53-	0 3- -2  1  0 -3 -6  4
Curve Equation t Generators 84111d1 [0,1,1,-19749,1203176] 1 [-156:715:1]&[-294:10967:8]
84111e (1 curve)	0	3- 23- 53-	-1 3-  0  5  5 -2 -3 -4
Curve Equation t 84111e1 [1,0,0,-218,-1257] 1

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

Part of Computational Number Theory
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