Cremona's table of elliptic curves

127534 = 2 · 11² · 17 · 31

Class	r	Atkin-Lehner	Eigenvalues
127534a (1 curve)	1	2+ 11+ 17+ 31+	2+  2 -3 -3 11+  0 17+  3
Curve Equation t Generators 127534a1 [1,1,0,-512074,-116410356] 1 [-1004211:10903719:2197]
127534b (1 curve)	2	2+ 11+ 17- 31+	2+  0 -3 -5 11+  4 17- -7
Curve Equation t Generators 127534b1 [1,-1,0,-4076,66446] 1 [91:620:1]&[7:192:1]
127534c (1 curve)	0	2+ 11+ 17- 31+	2+ -2 -1 -1 11+  4 17- -5
Curve Equation t 127534c1 [1,0,1,-450849,116075540] 1
127534d (1 curve)	2	2+ 11- 17+ 31+	2+  0  0 -1 11- -6 17+ -6
Curve Equation t Generators 127534d1 [1,-1,0,-17,17] 1 [-4:5:1]&[1:0:1]
127534e (1 curve)	0	2+ 11- 17+ 31+	2+  0  1 -3 11-  4 17+ -1
Curve Equation t 127534e1 [1,-1,0,-109709,-9418139] 1
127534f (1 curve)	1	2+ 11- 17+ 31-	2+ -2 -2  1 11-  0 17+  4
Curve Equation t Generators 127534f1 [1,0,1,-162022,23496504] 1 [373:-4059:1]
127534g (2 curves)	0	2+ 11- 17- 31-	2+  0  0  4 11- -4 17- -4
Curve Equation t 127534g1 [1,-1,0,38,-47052] 2 127534g2 [1,-1,0,-19322,-1011180] 2
127534h (1 curve)	2	2+ 11- 17- 31-	2+ -2  2 -3 11-  0 17- -8
Curve Equation t Generators 127534h1 [1,0,1,-128926955,562303373718] 1 [-12937:261536:1]&[40494:1567753:8]
127534i (2 curves)	0	2+ 11- 17- 31-	2+ -2  3  1 11-  4 17-  1
Curve Equation t 127534i1 [1,0,1,-4670482,1422319908] 1 127534i2 [1,0,1,-306996242,2070341574948] 1
127534j (1 curve)	0	2- 11+ 17+ 31+	2-  0 -3  5 11+ -4 17+  7
Curve Equation t 127534j1 [1,-1,1,-34,-41] 1
127534k (1 curve)	2	2- 11+ 17+ 31+	2- -2 -1  1 11+ -4 17+  5
Curve Equation t Generators 127534k1 [1,0,0,-3726,-87548] 1 [-36:34:1]&[-34:28:1]
127534l (1 curve)	1	2- 11+ 17- 31+	2-  2 -3  3 11+  0 17- -3
Curve Equation t Generators 127534l1 [1,1,1,-4232,85537] 1 [83:519:1]
127534m (1 curve)	1	2- 11- 17+ 31+	2-  0  0 -2 11- -3 17+  3
Curve Equation t Generators 127534m1 [1,-1,1,68705,-6424569] 1 [3513:56794:27]
127534n (1 curve)	0	2- 11- 17+ 31-	2- -2  2  3 11-  0 17+  8
Curve Equation t 127534n1 [1,0,0,-1065512,-422563712] 1
127534o (1 curve)	0	2- 11- 17- 31+	2-  0  0  1 11-  6 17-  6
Curve Equation t 127534o1 [1,-1,1,-2080,-16409] 1
127534p (1 curve)	1	2- 11- 17- 31-	2- -2  1 -3 11-  0 17- -1
Curve Equation t Generators 127534p1 [1,0,0,-9380,331024] 1 [76:204:1]
127534q (1 curve)	1	2- 11- 17- 31-	2- -2 -2 -1 11-  0 17- -4
Curve Equation t Generators 127534q1 [1,0,0,-1339,-17775] 1 [-22:45:1]

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