Cremona's table of elliptic curves

85550 = 2 · 5² · 29 · 59

Class	r	Atkin-Lehner	Eigenvalues
85550a (1 curve)	1	2+ 5+ 29+ 59+	2+ -2 5+  2  3  1 -2  0
Curve Equation t Generators 85550a1 [1,0,1,-25151,-1528302] 1 [-5772:8729:64]
85550b (1 curve)	0	2+ 5+ 29+ 59-	2+  0 5+ -1  3  5  3 -2
Curve Equation t 85550b1 [1,-1,0,-4367,-125459] 1
85550c (2 curves)	0	2+ 5+ 29+ 59-	2+  0 5+  2  0 -4  6 -2
Curve Equation t 85550c1 [1,-1,0,-29502292,-61670832384] 2 85550c2 [1,-1,0,-29531792,-61541297884] 2
85550d (1 curve)	0	2+ 5+ 29+ 59-	2+  0 5+  2 -5  1 -4 -2
Curve Equation t 85550d1 [1,-1,0,-3587338292,82701107066616] 1
85550e (1 curve)	0	2+ 5+ 29+ 59-	2+ -2 5+  2 -3 -5  4 -6
Curve Equation t 85550e1 [1,0,1,-1548476,-741788652] 1
85550f (1 curve)	0	2+ 5+ 29+ 59-	2+  3 5+  2 -3  5 -6  4
Curve Equation t 85550f1 [1,-1,0,-19642,1064516] 1
85550g (2 curves)	2	2+ 5+ 29- 59+	2+ -2 5+  0  2 -2  0  0
Curve Equation t Generators 85550g1 [1,0,1,2874,8648] 2 [17:241:1]&[193:2689:1] 85550g2 [1,0,1,-11626,66648] 2 [-68:771:1]&[-9:417:1]
85550h (1 curve)	1	2+ 5+ 29- 59-	2+  0 5+  2 -5 -5 -4 -2
Curve Equation t Generators 85550h1 [1,-1,0,-24167,1199741] 1 [49:338:1]
85550i (1 curve)	1	2+ 5+ 29- 59-	2+  1 5+ -2  1 -6  3 -5
Curve Equation t Generators 85550i1 [1,0,1,-18886,1469848] 1 [-154:932:1]
85550j (2 curves)	1	2+ 5+ 29- 59-	2+ -2 5+  4  4  0 -4  4
Curve Equation t Generators 85550j1 [1,0,1,-1776,-84802] 2 [6182:482971:1] 85550j2 [1,0,1,-41776,-3284802] 2 [241:691:1]
85550k (1 curve)	1	2+ 5- 29+ 59-	2+ -1 5-  2  5 -4  3  3
Curve Equation t Generators 85550k1 [1,1,0,13175,-2875] 1 [1:101:1]
85550l (1 curve)	1	2+ 5- 29+ 59-	2+ -1 5-  5  2  2 -6  0
Curve Equation t Generators 85550l1 [1,1,0,-78425,12477925] 1 [177783879:1929853171:753571]
85550m (2 curves)	1	2+ 5- 29- 59+	2+  1 5- -3  2  6  2  0
Curve Equation t Generators 85550m1 [1,0,1,7249,-58952] 1 [352:6616:1] 85550m2 [1,0,1,-696326,223669048] 1 [352:4536:1]
85550n (2 curves)	2	2+ 5- 29- 59-	2+ -2 5- -2  0  2  0 -4
Curve Equation t Generators 85550n1 [1,0,1,-22421,1291488] 2 [-28:1391:1]&[72:191:1] 85550n2 [1,0,1,-358821,82700288] 2 [-318:12991:1]&[347:-214:1]
85550o (1 curve)	0	2+ 5- 29- 59-	2+  3 5- -2  1 -4 -5  7
Curve Equation t 85550o1 [1,-1,0,-48977992,131944072616] 1
85550p (1 curve)	0	2- 5+ 29+ 59+	2- -1 5+  2 -1 -3  0  0
Curve Equation t 85550p1 [1,1,1,-6313,-924969] 1
85550q (1 curve)	0	2- 5+ 29+ 59+	2-  2 5+  2  5  3  6  0
Curve Equation t 85550q1 [1,1,1,-399713,-97391969] 1
85550r (2 curves)	1	2- 5+ 29+ 59-	2-  0 5+  2  4  4  2 -2
Curve Equation t Generators 85550r1 [1,-1,1,-94980,-7979353] 2 [-171:1885:1] 85550r2 [1,-1,1,-566980,158164647] 2 [1009:24245:1]
85550s (1 curve)	1	2- 5+ 29+ 59-	2-  1 5+ -2  5  4 -3  3
Curve Equation t Generators 85550s1 [1,0,0,527,-23] 1 [6:55:1]
85550t (1 curve)	1	2- 5+ 29+ 59-	2-  1 5+ -5  2 -2  6  0
Curve Equation t Generators 85550t1 [1,0,0,-1960638,1563661892] 1 [796:22130:1]
85550u (1 curve)	1	2- 5+ 29+ 59-	2- -2 5+  2 -1  5 -4  2
Curve Equation t Generators 85550u1 [1,0,0,-3688,-79008] 1 [-28:64:1]
85550v (2 curves)	1	2- 5+ 29- 59+	2- -1 5+  3  2 -6 -2  0
Curve Equation t Generators 85550v1 [1,1,1,-27853,1778211] 5 [-419497:1142224:2197] 85550v2 [1,1,1,181237,-7368969] 1 [1374471787305304632477432149250:-29849453834955051146699999304247:30404653732151335024171875000]
85550w (1 curve)	1	2- 5+ 29- 59+	2-  2 5+  2  5  5 -2 -8
Curve Equation t Generators 85550w1 [1,1,1,-354888,-81521719] 1 [-118125:61291:343]
85550x (1 curve)	0	2- 5+ 29- 59-	2-  0 5+  3 -5 -1  3 -2
Curve Equation t 85550x1 [1,-1,1,-546130,-156049753] 1
85550y (1 curve)	0	2- 5+ 29- 59-	2-  2 5+  2 -5  3  0  6
Curve Equation t 85550y1 [1,1,1,-363,-2719] 1
85550z (1 curve)	0	2- 5+ 29- 59-	2- -3 5+  2  1  4  5  7
Curve Equation t 85550z1 [1,-1,1,-1224449805,16491784627197] 1
85550ba (1 curve)	1	2- 5- 29- 59-	2- -1 5-  2  1  6 -3 -5
Curve Equation t Generators 85550ba1 [1,1,1,-472138,183731031] 1 [7785:680507:1]
85550bb (2 curves)	1	2- 5- 29- 59-	2-  2 5-  2  0 -2  0 -4
Curve Equation t Generators 85550bb1 [1,1,1,-560513,161436031] 2 [179:8088:1] 85550bb2 [1,1,1,-8970513,10337536031] 2 [48333:95764:27]

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