Cremona's table of elliptic curves

59085 = 3² · 5 · 13 · 101

Class	r	Atkin-Lehner	Eigenvalues
59085a (1 curve)	2	3+ 5+ 13+ 101-	1 3+ 5+ -3 -1 13+  3 -5
Curve Equation t Generators 59085a1 [1,-1,0,30,-45] 1 [14:19:8]&[6:15:1]
59085b (1 curve)	2	3+ 5- 13+ 101+	-1 3+ 5- -3  1 13+ -3 -5
Curve Equation t Generators 59085b1 [1,-1,1,268,946] 1 [-1:26:1]&[10:62:1]
59085c (1 curve)	2	3- 5+ 13+ 101+	-2 3- 5+  3 -3 13+ -3  0
Curve Equation t Generators 59085c1 [0,0,1,-7563,512154] 1 [116:1093:1]&[81:656:1]
59085d (2 curves)	1	3- 5+ 13+ 101-	1 3- 5+  0  2 13+  6 -8
Curve Equation t Generators 59085d1 [1,-1,0,-7920,-268029] 2 [19220970:16521367:185193] 59085d2 [1,-1,0,-12465,78300] 2 [6456:85198:27]
59085e (4 curves)	1	3- 5+ 13- 101+	1 3- 5+  0  4 13-  6  0
Curve Equation t Generators 59085e1 [1,-1,0,-33345,1718496] 2 [709510276:-39951632898:226981] 59085e2 [1,-1,0,-492390,133097175] 4 [92932890:-28646445:226981] 59085e3 [1,-1,0,-451485,156093966] 2 [-774:6822:1] 59085e4 [1,-1,0,-7878015,8512827300] 2 [489648807850290:-244666731571113:302111711000]
59085f (1 curve)	0	3- 5- 13+ 101-	1 3- 5-  2  4 13+  1  3
Curve Equation t 59085f1 [1,-1,0,3546,-87615] 1
59085g (2 curves)	0	3- 5- 13+ 101-	-1 3- 5-  4  4 13+ -2  2
Curve Equation t 59085g1 [1,-1,1,-6152,-184174] 2 59085g2 [1,-1,1,-6107,-187036] 2
59085h (1 curve)	2	3- 5- 13- 101+	-2 3- 5- -3 -5 13- -3  0
Curve Equation t Generators 59085h1 [0,0,1,24873,-342198] 1 [212:3802:1]&[30:656:1]
59085i (2 curves)	1	3- 5- 13- 101-	-1 3- 5-  0 -4 13-  6  6
Curve Equation t Generators 59085i1 [1,-1,1,-1287002,562296376] 2 [-254:29669:1] 59085i2 [1,-1,1,-1282457,566461414] 2 [592:-4099:1]

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

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