Cremona's table of elliptic curves

27639 = 3² · 37 · 83

Class	r	Atkin-Lehner	Eigenvalues
27639a (1 curve)	1	3+ 37+ 83+	2 3+  2 -1  2  1 -3  0
Curve Equation t Generators 27639a1 [0,0,1,-519,4403] 1 [162:371:8]
27639b (1 curve)	1	3+ 37+ 83+	2 3+  2 -1  2 -1  7  0
Curve Equation t Generators 27639b1 [0,0,1,-729,-7567] 1 [32010:43051:1000]
27639c (1 curve)	2	3+ 37+ 83-	-2 3+ -2 -1 -2  1  3  0
Curve Equation t Generators 27639c1 [0,0,1,-4671,-118888] 1 [-45:13:1]&[-35:41:1]
27639d (1 curve)	2	3+ 37+ 83-	-2 3+ -2 -1 -2 -1 -7  0
Curve Equation t Generators 27639d1 [0,0,1,-81,280] 1 [7:7:1]&[2:125:8]
27639e (1 curve)	0	3- 37+ 83+	0 3- -4  3  6 -5 -3 -4
Curve Equation t 27639e1 [0,0,1,-109812,13979916] 1
27639f (1 curve)	0	3- 37+ 83+	1 3-  3  0 -2 -5 -2 -4
Curve Equation t 27639f1 [1,-1,0,-1503,14418] 1
27639g (1 curve)	1	3- 37+ 83-	1 3-  1  2 -2 -1  8  0
Curve Equation t Generators 27639g1 [1,-1,0,-234,-1319] 1 [-556:359:64]
27639h (1 curve)	1	3- 37+ 83-	1 3- -1  0 -2 -1 -6  8
Curve Equation t Generators 27639h1 [1,-1,0,-54810,4943857] 1 [56:1403:1]
27639i (2 curves)	1	3- 37+ 83-	1 3- -2 -4  4  2 -4  0
Curve Equation t Generators 27639i1 [1,-1,0,-58473,5638360] 2 [-7548:11342:27] 27639i2 [1,-1,0,-944208,353377921] 2 [-1120:2801:1]
27639j (1 curve)	1	3- 37- 83+	1 3-  2  4  5 -3 -7  2
Curve Equation t Generators 27639j1 [1,-1,0,-7326,-239531] 1 [14470772932:-582367874441:9129329]
27639k (1 curve)	0	3- 37- 83-	0 3-  2  3 -4  7  3 -8
Curve Equation t 27639k1 [0,0,1,-2964,62019] 1

Data from Elliptic Curve Data by J. E. Cremona.
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