Cremona's table of elliptic curves

52983 = 3² · 7 · 29²

Class	r	Atkin-Lehner	Eigenvalues
52983a (6 curves)	0	3- 7+ 29+	-1 3-  2 7+  4 -2 -6 -4
Curve Equation t 52983a1 [1,-1,1,7411,52260] 2 52983a2 [1,-1,1,-30434,445848] 4 52983a3 [1,-1,1,-295349,-61332330] 2 52983a4 [1,-1,1,-371039,86959518] 4 52983a5 [1,-1,1,-257504,141093006] 2 52983a6 [1,-1,1,-5934254,5565613650] 2
52983b (2 curves)	1	3- 7- 29+	1 3-  0 7-  0 -6 -2  0
Curve Equation t Generators 52983b1 [1,-1,0,-3942,-2069793] 2 [22158:1154547:8] 52983b2 [1,-1,0,-268857,-53092422] 2 [29706666:1524726681:10648]
52983c (1 curve)	1	3- 7- 29+	1 3- -2 7- -1  4  1  1
Curve Equation t Generators 52983c1 [1,-1,0,-288,2025] 1 [0:45:1]
52983d (2 curves)	1	3- 7- 29+	1 3- -2 7- -4 -2  4 -2
Curve Equation t Generators 52983d1 [1,-1,0,-72063,-7814664] 2 [1229743480520:106495215708136:161878625] 52983d2 [1,-1,0,-1169568,-486546345] 2 [3798270:659767707:125]
52983e (1 curve)	1	3- 7- 29+	1 3-  3 7- -6 -6  1  6
Curve Equation t Generators 52983e1 [1,-1,0,-9809973,-10744808652] 1 [-1644:31440:1]
52983f (1 curve)	1	3- 7- 29+	-1 3- -1 7- -2 -2  5 -2
Curve Equation t Generators 52983f1 [1,-1,1,-158,-520] 1 [-6:16:1]
52983g (1 curve)	1	3- 7- 29+	-1 3- -1 7- -5 -5 -4  4
Curve Equation t Generators 52983g1 [1,-1,1,-158,1194338] 1 [196:2845:1]
52983h (6 curves)	1	3- 7- 29+	-1 3-  2 7-  4 -2  2  4
Curve Equation t Generators 52983h1 [1,-1,1,-5934254,-5955896284] 4 [4338418:9034262772:1] 52983h2 [1,-1,1,-96800099,-366547915582] 4 [2114735276739883:4403687529656484717:487443403] 52983h3 [1,-1,1,-98654504,-351772016542] 4 [503946989175885552368967826696234:1049410301584060786516959869816315595:116159045154883387619364856] 52983h4 [1,-1,1,-1548799214,-23460303439834] 2 [500990419102313761326880811515480:1043221306870082385501048847656920193:115475776009647807406528000] 52983h5 [1,-1,1,94468531,-1561262960140] 2 [4288152603715100752367322263655677517600049198593267329320215024097313513640:-78793719263763623036103225512882813358123085987632296276408620945065875762401:475192551705236230453775380103365361273194603372304763331501131773504000] 52983h6 [1,-1,1,-321448019,1803354212756] 2 [19369088051589380583:-152227314829893395543:3012250210730461]
52983i (2 curves)	1	3- 7- 29+	-2 3-  4 7-  2  4 -2 -5
Curve Equation t Generators 52983i1 [0,0,1,148857,762156] 1 [2175:103022:1] 52983i2 [0,0,1,-16275873,25276302306] 1 [33638550:781540181:10648]
52983j (1 curve)	0	3- 7- 29-	1 3- -1 7-  2 -2 -5  2
Curve Equation t 52983j1 [1,-1,0,-132615,-13604108] 1
52983k (1 curve)	0	3- 7- 29-	-1 3- -2 7-  1  4 -1 -1
Curve Equation t 52983k1 [1,-1,1,-242366,47691546] 1
52983l (1 curve)	0	3- 7- 29-	-1 3-  3 7-  6 -6 -1 -6
Curve Equation t 52983l1 [1,-1,1,-8250187451,-262112889525402] 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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