Cremona's table of elliptic curves

58089 = 3 · 17² · 67

Class	r	Atkin-Lehner	Eigenvalues
58089a (4 curves)	1	3+ 17+ 67+	1 3+  2  0 -4 -2 17+  4
Curve Equation t Generators 58089a1 [1,1,0,-20669,-1152312] 2 [665456435741666437040:4750900646965388465913:3427651446488576000] 58089a2 [1,1,0,-22114,-983825] 4 [34559992248:839817085081:53157376] 58089a3 [1,1,0,51581,-6068780] 2 [469840733764058017560:12169244194770038974765:746853637450511872] 58089a4 [1,1,0,-118929,14913198] 2 [165236:8243761:64]
58089b (1 curve)	0	3+ 17+ 67-	-1 3+  1  5  4 -4 17+ -2
Curve Equation t 58089b1 [1,1,1,-295,10118] 1
58089c (1 curve)	0	3+ 17+ 67-	2 3+  1  2 -5 -7 17+ -5
Curve Equation t 58089c1 [0,-1,1,-53850,-7492435] 1
58089d (1 curve)	0	3+ 17+ 67-	-2 3+  1 -2  3  5 17+  3
Curve Equation t 58089d1 [0,-1,1,-143236010,659869211720] 1
58089e (1 curve)	0	3- 17+ 67+	1 3- -2 -2  5  4 17+ -2
Curve Equation t 58089e1 [1,0,1,50713,-35665081] 1
58089f (1 curve)	0	3- 17+ 67+	1 3-  3  3  0  4 17+ -2
Curve Equation t 58089f1 [1,0,1,-229617,42330817] 1
58089g (1 curve)	0	3- 17+ 67+	-2 3-  0  0  6  4 17+ -5
Curve Equation t 58089g1 [0,1,1,482,4300] 1
58089h (1 curve)	0	3- 17+ 67+	-2 3-  1  4 -1  1 17+  7
Curve Equation t 58089h1 [0,1,1,-1830,-117658] 1
58089i (1 curve)	1	3- 17+ 67-	0 3-  3  4 -3 -5 17+  7
Curve Equation t Generators 58089i1 [0,1,1,-1970209,1065954790] 1 [5290:58085:8]
58089j (1 curve)	1	3- 17+ 67-	0 3- -3 -2  3  1 17+ -5
Curve Equation t Generators 58089j1 [0,1,1,-158757,-40810303] 1 [597064:18889925:512]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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