Cremona's table of elliptic curves

31059 = 3² · 7 · 17 · 29

Class	r	Atkin-Lehner	Eigenvalues
31059a (1 curve)	1	3+ 7+ 17+ 29+	0 3+  3 7+  3  3 17+ -7
Curve Equation t Generators 31059a1 [0,0,1,366984,174441134] 1 [-334:100887:8]
31059b (1 curve)	1	3+ 7+ 17- 29-	0 3+ -3 7+ -3  3 17- -7
Curve Equation t Generators 31059b1 [0,0,1,40776,-6460783] 1 [753:-21242:1]
31059c (2 curves)	1	3+ 7- 17+ 29-	0 3+ -3 7-  3  5 17+ -1
Curve Equation t Generators 31059c1 [0,0,1,2496,169305] 3 [1511:58768:1] 31059c2 [0,0,1,-22734,-4887628] 1 [264:2740:1]
31059d (2 curves)	1	3+ 7- 17- 29+	0 3+  3 7- -3  5 17- -1
Curve Equation t Generators 31059d1 [0,0,1,-2526,181023] 3 [514:4259:8] 31059d2 [0,0,1,22464,-4571242] 1 [167610:1975009:1000]
31059e (1 curve)	0	3- 7+ 17+ 29+	0 3-  2 7+ -4 -4 17+ -1
Curve Equation t 31059e1 [0,0,1,-3414,-76811] 1
31059f (1 curve)	1	3- 7+ 17+ 29-	0 3- -1 7+  1  5 17+ -5
Curve Equation t Generators 31059f1 [0,0,1,-11028,-445788] 1 [218:-2741:1]
31059g (1 curve)	1	3- 7+ 17+ 29-	0 3- -4 7+  4  2 17+  1
Curve Equation t Generators 31059g1 [0,0,1,-192,1071] 1 [9:8:1]
31059h (2 curves)	1	3- 7+ 17+ 29-	1 3-  0 7+  0  2 17+  4
Curve Equation t Generators 31059h1 [1,-1,0,5823,637888] 2 [6894:199735:8] 31059h2 [1,-1,0,-85212,8849245] 2 [-268:3653:1]
31059i (1 curve)	1	3- 7+ 17+ 29-	1 3-  0 7+  3 -4 17+  4
Curve Equation t Generators 31059i1 [1,-1,0,-11277,463810] 1 [62:-22:1]
31059j (1 curve)	1	3- 7+ 17+ 29-	-2 3-  2 7+ -6 -2 17+ -7
Curve Equation t Generators 31059j1 [0,0,1,-549,64064] 1 [-26:246:1]
31059k (1 curve)	1	3- 7+ 17+ 29-	-2 3- -3 7+ -3  5 17+  1
Curve Equation t Generators 31059k1 [0,0,1,-2649,-75740] 1 [106:-914:1]
31059l (1 curve)	0	3- 7+ 17- 29-	0 3-  0 7+  0 -6 17- -1
Curve Equation t 31059l1 [0,0,1,9900,5274605] 1
31059m (1 curve)	1	3- 7- 17+ 29+	-1 3-  0 7- -5  4 17+  0
Curve Equation t Generators 31059m1 [1,-1,1,-288635,88301148] 1 [476:7416:1]
31059n (1 curve)	0	3- 7- 17+ 29-	0 3-  3 7-  5 -7 17+ -5
Curve Equation t 31059n1 [0,0,1,3354,-14694642] 1
31059o (1 curve)	1	3- 7- 17- 29-	2 3-  3 7-  3 -5 17- -3
Curve Equation t Generators 31059o1 [0,0,1,-13611,-889277] 1 [1154:3083:8]

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