Cremona's table of elliptic curves

66650 = 2 · 5² · 31 · 43

Class	r	Atkin-Lehner	Eigenvalues
66650a (1 curve)	1	2+ 5+ 31+ 43+	2+  0 5+  0 -3  1  0 -8
Curve Equation t Generators 66650a1 [1,-1,0,-78167,8387741] 1 [313:3653:1]
66650b (1 curve)	2	2+ 5+ 31+ 43-	2+  1 5+  0 -6  0  6 -2
Curve Equation t Generators 66650b1 [1,0,1,-19981,-1088252] 1 [-82:62:1]&[71519:634612:343]
66650c (1 curve)	2	2+ 5+ 31+ 43-	2+ -1 5+  2 -2 -4 -4  6
Curve Equation t Generators 66650c1 [1,1,0,-50,-140] 1 [-42:49:8]&[-4:6:1]
66650d (1 curve)	0	2+ 5+ 31- 43+	2+  1 5+  4  3 -4 -3  5
Curve Equation t 66650d1 [1,0,1,2079,69108] 1
66650e (2 curves)	0	2+ 5+ 31- 43+	2+ -1 5+  4  3 -2 -3 -4
Curve Equation t 66650e1 [1,1,0,-2000,-2456000] 1 66650e2 [1,1,0,-1439500,-665393500] 1
66650f (2 curves)	0	2+ 5+ 31- 43+	2+  2 5+  4 -3  7  6 -4
Curve Equation t 66650f1 [1,1,0,-9675,360125] 1 66650f2 [1,1,0,-61675,-5683875] 1
66650g (1 curve)	1	2+ 5+ 31- 43-	2+  0 5+  2  5  1 -2 -4
Curve Equation t Generators 66650g1 [1,-1,0,-5192,145216] 1 [75:379:1]
66650h (1 curve)	0	2+ 5- 31+ 43+	2+  1 5- -2  6  4  0  2
Curve Equation t 66650h1 [1,0,1,-217326,-38956452] 1
66650i (1 curve)	1	2+ 5- 31+ 43-	2+  0 5-  0  3 -6  2  5
Curve Equation t Generators 66650i1 [1,-1,0,883,135541] 1 [30:419:1]
66650j (1 curve)	0	2- 5+ 31+ 43+	2-  0 5+  0  3  6 -2  5
Curve Equation t 66650j1 [1,-1,1,35,1077] 1
66650k (1 curve)	1	2- 5+ 31+ 43-	2- -1 5+  2  3  2 -3  8
Curve Equation t Generators 66650k1 [1,1,1,-73813,8499531] 1 [1305:45572:1]
66650l (1 curve)	1	2- 5+ 31+ 43-	2- -1 5+  2 -5  2 -7  0
Curve Equation t Generators 66650l1 [1,1,1,-7402813,-8396855469] 1 [3255:43172:1]
66650m (1 curve)	1	2- 5+ 31+ 43-	2- -1 5+  2  6 -4  0  2
Curve Equation t Generators 66650m1 [1,1,1,-8693,-315129] 1 [-592878:408959:10648]
66650n (1 curve)	1	2- 5+ 31- 43+	2-  0 5+ -2 -5  3 -6  4
Curve Equation t Generators 66650n1 [1,-1,1,-603355,96043147] 1 [1675:60666:1]
66650o (1 curve)	1	2- 5+ 31- 43+	2- -3 5+  2  5 -6 -3  0
Curve Equation t Generators 66650o1 [1,-1,1,270,897] 1 [-1:25:1]
66650p (1 curve)	0	2- 5+ 31- 43-	2-  2 5+  0 -5  5  6 -4
Curve Equation t 66650p1 [1,1,1,-88,31] 1
66650q (1 curve)	1	2- 5- 31+ 43+	2-  1 5- -2 -2  4  4  6
Curve Equation t Generators 66650q1 [1,0,0,-1263,-14983] 1 [-14:9:1]
66650r (1 curve)	1	2- 5- 31+ 43+	2- -1 5-  0 -6  0 -6 -2
Curve Equation t Generators 66650r1 [1,1,1,-499513,-136031469] 1 [-8545830114:4874136287:20570824]
66650s (1 curve)	1	2- 5- 31- 43-	2- -1 5- -4  3  4  3  5
Curve Equation t Generators 66650s1 [1,1,1,51987,8638531] 1 [-115:1132:1]

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