Cremona's table of elliptic curves

51183 = 3² · 11² · 47

Class	r	Atkin-Lehner	Eigenvalues
51183a (1 curve)	0	3+ 11- 47+	2 3+ -3 -1 11-  0  0  4
Curve Equation t 51183a1 [0,0,1,-1089,-13643] 1
51183b (1 curve)	1	3+ 11- 47-	-2 3+  3 -1 11-  0  0  4
Curve Equation t Generators 51183b1 [0,0,1,-9801,368354] 1 [42:175:1]
51183c (2 curves)	1	3- 11- 47+	-1 3-  0 -4 11- -6 -6 -2
Curve Equation t Generators 51183c1 [1,-1,1,-8735,-446322] 2 [234:3089:1] 51183c2 [1,-1,1,-155750,-23615886] 2 [-228:174:1]
51183d (1 curve)	1	3- 11- 47+	2 3-  3  2 11-  0 -6 -8
Curve Equation t Generators 51183d1 [0,0,1,-56991,-139441217] 1 [7705631436434074:41674710364301239:13621096884968]
51183e (1 curve)	1	3- 11- 47+	2 3- -3 -4 11-  0  0 -2
Curve Equation t Generators 51183e1 [0,0,1,38841,329755] 1 [3140:98151:64]
51183f (1 curve)	1	3- 11- 47+	-2 3-  3  3 11- -2 -6  6
Curve Equation t Generators 51183f1 [0,0,1,-13431,227268] 1 [-112:571:1]
51183g (1 curve)	0	3- 11- 47-	0 3-  1  3 11-  4  8  6
Curve Equation t 51183g1 [0,0,1,-1452,-5657] 1
51183h (1 curve)	0	3- 11- 47-	0 3- -3  2 11-  2  4 -4
Curve Equation t 51183h1 [0,0,1,-17424,-925378] 1
51183i (4 curves)	2	3- 11- 47-	-1 3- -2  0 11-  2  2  0
Curve Equation t Generators 51183i1 [1,-1,1,-2201,114392] 2 [-60:196:1]&[18:274:1] 51183i2 [1,-1,1,-51206,4466036] 4 [36:1615:1]&[1086:-133:8] 51183i3 [1,-1,1,-67541,1388522] 2 [-261:1219:1]&[-140:2913:1] 51183i4 [1,-1,1,-818951,285460706] 2 [-96:19105:1]&[300:8017:1]
51183j (1 curve)	0	3- 11- 47-	2 3-  1  3 11-  2  2 -6
Curve Equation t 51183j1 [0,0,1,-28677,-1869057] 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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